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pR. 36 S O R N U 4 7 7 8 Supplement 1

KWIC INDEX FOR NUMERICAL ALGEBRA

A. S. Householder

MAS a .

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0RNL-U778, Supplement 1 dC-32 — Mathematics and Computers

Contract No. W-7^05-eng-26

MATHEMATICS DIVISION

KWIC INDEX FOR NUMERICAL ALGEBRA

A. 3. Householder

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TABLE OF CONTENTS Sage

Abstract v Preface vii Trivial Word List 1 Updates and Corrections 3

Bibliography 5 Author Index 23 Keyword Index * 27

New Listings Ul BiT liography U3 Author Index , 71 Keyword Index 77

iii

ABSTRACT

This supplements and updates the KWIC Index for Numerical Analysis, ORHIA778, June 1972.

I

HOSFACE

3fois volume supplements QRHIr4778 partly with recent publications, partly with translated titles inadvertently omitted before, partly with the addition of new review references, and partly with the inclusion of a few titles hitherto overlooked. Although compilation was completed towards the end of 1972, circumstances delayed its actual appearance.

vii

1

Trivial Word List

A CAJSf EVALUATING ISOLATION PROBLEMS SUITABLE CAUSED EVALUATION I T PROCEDURE SUPPLEMENT

I CAUSED EVIDENCE ITS PROCEDURES SUPPLEMENTAL 1 CERTAM FXA«lNATI1N I V PROCESS SYSTEM • CHANGE EXAMPLE IX PROCESSES SYSTEMS • CHANGES EXAMPLES LABORATORY PROCESSING TAKE • CHANCING EXCHANGE LARGE PRODUCE TAKING ) CHARACTERISTIC EXPERIMENT LESS PROOUCEO TECHNIQUE

C O * B i * A T I n N EXPERIMENTAL LEVEL PRODUCING TECHNIQUES / COMBINE1) EXPERIMENTS LIKE PRODUCT TEN » COMMENTS EXPLANATION L I S T PRODUCTION TEST 1 COMPANY FXTRENFLV LONG PROGRAM TESTING • COKPAAATIVE F A C I L I T I E S LOtfER PROPERTIFS TESTS • C..MRAREO F A C I L I T Y MADE PROPOSED TETRA A COMPARISON FACTOR MAINTAINED QUANTITIES THAN A80UT COMPARISONS FACTORS MAJOR QUANTITY THAT A * ) * ? COMPLETE FAR MfcKE QUICK THE ACC6*?A»«ViNC CGMrtETtO FAST MAKING RANGE THEIR ACCORDING COMPLETELY FEATURE MANY RATIO THEM ACftOSS COMPRISING F F A T U R E S MATERIAL RECENT THEOREM ACT IO*i C0NCENT4ATE0 F E * MATERIALS RECOVERY THIS ACT!ONS CONCERNING FIRST MATRICES REFERENCE THOSE ADAPTATION CONDITION F IVE MATRI X REGARC THREE ADDITION CONOITlriMS FOLLCMiNC MAY REGARDING THROUGH AHOITIOSAl CONSEQUENCES FOR MEANS RELATED T I N E S AOEOUATE CONSIDERATION FORM MEASUREMENT RELATING TO A0NIN IST2ATION CONSIDERATIONS FORMATION MEASUREMENTS RELATION TOGETHER AOVANCEO CONSTDEREO FORMERLY MEDIUM RELATIONS TOTAL AFFECT CONSISTING FOUND MEMOIR RELATIONSHIP TOHARO AFFECTED CONTACT FOUR METHOD RELATIVE TQWRROS AFFECTING rONTAI-4 FROM METHODS REMARK TRANSFER AFTER CONTAINED FUNDAMENTAL MODERN REMARKS TREATED AGAINST CONTAINING FUNDAMENTALS MODIFICATION REMOVAL TREATMENT AGEMT CONTENT FURNISHED MODIFICATIONS REPORT TRI AGFNTS CONT1MIOUS FURTHER MONO REPORTS TRIAL AID CONTRIBUTION GENERAL MORE REQUIRE TRIALS AIL CONTRIBUTIONS GIVEN N REOUIREO TMO Al iOwFn CONVENIENT GIVES nCAR REOUIREM-NT TYPE ALL Owl MG CORRELATION GIVING MECFSSi=r REQUIREMENTS TVPES AiflNC COMESP3NBING GREATER ME* REOUIP.ING TYPICAL ALSO COURSE GROUP KINF RESEARCH UNDER AMONG CYCLE GROUPS MOTE RESPECT UP AMOUNT OAT A HANOIINC NOTES RESULT UPON AMOUNTS OF HAVE NOTIONS RESULTING USAGE AM DEMONS.RATION HAVING NUMBER RESVS.TS IPSE AND OEPENOENCE HELO OBSERVABLE REVISED USED ANOTHER DEPENDINC HELP OBSERVATION ROLE USES ANT DERIVATION HtXA OBSERVATIONS ROUTINE USING APPE ARINC DERIVED HIGHLY OBSERVFO SAME U T I L I I A T I O N APPENDIX DESCRIPTION HON OBTAIN SAMPLES UT I L K I N C APPL ICAT ION OETAILFO I OBTAINED SECONB V APPLICATIONS DETAILS IDENTIF ICAT ION OBTAINING SECTION VALUE ARRLIED DETERMINATION I I OCCURRENCE SECTIONS VARIATION APPLYING DETERMINING I I I OCCURRING SEE VARIATIONS APPROACH DEVELOPMENT IMPORTANCE OF SEEN VARIOUS APPROXIMATr DEVELOPMENTS IMPORTANT O f f SEVEN VARYING ARBITRARY 0 1 IMPROVES ON SEVERAL VERT ARE .» i«€TER IMPROVEMENT &e SHAPE VERSUS ARISING DIFFF^CST IMPROVEMENTS ONLY SHORT V I AROUND D I F F I C U L T IMPROVING OPERATION SMOM V I * AS DIRECT I N 0 * SHOWN V I C I N I T Y ASPECTS DISCUSSION INCLUDING ORDER SIGNIFICANCE V t l ASSISTANCE D ISTRIBUTION INCOMPLETE OTHER S I M L A * V I I I ASSOCIATED D I V I S I O N INCORPORATING OUT SIMPLE VOLUME AT 0 0 INCORPORATION OUTLINE S I M P L I F I E D vs ATTEMPT OOHN INCREASE OVfft SINCE MAY ATTEMPTS DUE INCRFASEO PART SIX NAYS BASEO DURING INCREASES PARTIALLY S U E HELL BASIS EACH INCREASING PARTICULAR SLOW NHAT RE E O I T I O N INDICATING PARTS SLOMLV NMEN BEFORE EFFECT INOUCFO PERCENT SMALL MHICH BFHlNO EFFFCTS INFLUENCE PERFORMANCE SO HMOSE BEING E F F I C I E N C I E S INFLUENCED PERIOO SORE NIOE BEL Ok EFFIC IENCY INFfUENCING PLACED SPECIAL N ITM BEST EIGHT INSIDE PLANT SPEC:.- IC W I T H I N BETTER EITHER INTEREST POINT S P E C I F I C I T Y WITHOUT BETWEEN ELEMENT ISTFRIM POSSESSING STANDPOINT WORK BETOKO ELEMENTAR\ INTERNE01ATE POSSIBLE STARTING WORKS BOTH ELEMENTS INTERPRETATION P O S S I B I L I T Y STATE X BUT EMPLOY INTO PRACTICAL STATES X I BY EMPLOYING IRTROOUCED PRELIMINARY STUDIED YEAR CALCULATION ENDING INTRODUCTION PREPARATION STUDIES CALCULATIONS ENLARGED INTRODUCTORY PREPARED STUDY CAN EQUATION INVESTIGATION PRESENCE STUDYING CAPABIE EQUATIONS INVESTIGATIONS PRESENT SUBJECTED CAPABILITY ESSENTIAL INVOLVEO PRINCIPLE SUBMITTED CAPACITY ESTABLISH INVOLVING PRINCIPLES SUBSEQUENT CASE ESTABLISHED I S PROBABLE SUGGESTING CASES ESTABLISHING ISOLATED PROBLEM SUGGESTIONS

UPDATES AHD CORRECTIONS

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Bibliography

0 0 0 1 A W Y T J C FJMCT1CNS OF F I N I T E DIMENSIONAL '.'NEAR TRANSFORMATIONS A F P I A " , b . N . PBGC. CAM8RDGE r . H O S . SOC. 5 5 , « 0 - 6 1 119591 I Z * L . 2 0 5 . 4 8 )

0 0 0 ? n * THE RFDUCMON Of A POLYNOMIAL MATRIX TO 01AGONAL FCRN AH.MET0V4. L . H . DOMflVlOl AKAO. SAUK URSR, SE« . A 11970 ) 9 6 5 - 8 ( 1 9 ) 3 ) I Z B L . - 0 5 . 3 3 3 ) l»R 4 3 . 744?) (UKRAINIAN)

0 0 0 3 APPLICATIONS OF THF FIXEr»-PO|Nr THEOREM FOR PSFUOOMETRIC SPACES MITH INTERVAL ARITHMETIC ALFFF lQ , G . •.UM?R. MATH. 1 7 , 3 3 - 9 ( 1 9 7 1 ) t«*Z 1 9 7 1 , 9ST1SI i ZBL . 2 2 2 . 6 5 0 4 1 ) IGrUNANl

0 0 0 4 INVERTING MATRICES WITH ERROR BOUNDS A L E F E i n , 0 . • HE«ZBERGFft, J . EIFKTRON. CATENVERARBEITUNG 1 2 , 4 1 0 - 6 ( 1 9 7 0 1 (CR 1 2 . 2 0 . 8 5 9 ) IRZ 1 9 7 1 . 5 8 9 8 4 ) I Z B l . 1 9 9 , 4 9 7 1 (GERMAN)

0 0 0 5 ON THE NFwTflN PROCESS FOR NCSSi-JWEW SYSTEMS Jf EQUATIONS ALEFELO. G . * rlERZBERGER, J . Z . ANGEW. MATH. MfCH. 5 0 , 7 7 3 - 4 ( 1 9 7 0 ) IMR 4 3 , 5 7 1 3 ) |ft< 1 9 7 1 , 7691B) (GERMAN!

0 0 0 6 PPOCESSES nr HIGHER ORDER FOR THE ITERATIVE INCLUSION rJF INVERSE MATRICES A l f F F L O , G . • HER7.BFRGFR, J . 7 . ANiiFM. MATH. P H \ , . 2 1 . 8 1 9 - 2 4 ( 1 9 7 0 ) IRZ 1 9 7 1 , 3 8 5 6 7 ) I Z B L . 2 0 8 , 4 0 1 ) (GERMAN)

0 0 0 7 CRITERIA FC"> POSIT IVE OEF INITE.NESS CF SOME 3AN0 MATRICES ALLGGtaFR. E . L . NUMfR. MATH. 1 6 . l i ' - 6 2 1 1 9 7 0 ) (CR 1 2 , 2 1 . 9 1 3 1 iNR 4 2 . 8 6 7 0 1 IRZ 1 9 7 1 , 4 8 * 6 7 ) ( Z B l . ? 0 7 , 1 5 5 )

0 0 0 8 ON COMPUTING GENERALIZED CHARACTERISTIC VECTORS AND VALUES FOR A RECTANGJLAR MATRIX AMBURGEY, J . K. * I E M I S , T . 0 . • K .ULL ION. T . L . PROC. OF (Hf SYMP. ON THEOR\ ANO APk'L. OF GENERALIZED INVERSES OF MATRICES. TEXAS TECHN. COLLEGE. LUBBOCK. TEXAS. PP. 2 6 7 - ? 7 5 ( 1 9 6 8 ) IMS 4 1 , 2 2 * ) ( Z B l . 2 0 7 , 1581

0 0 0 9 METR.C PROPERTIES OF UNITARY SPACES AMIR-MOEZ, A . R . TEXAS TFCHN. COLLEGE. LU3BCCK, TEXAS. V • 28 P P . 1 1 9 6 8 ) IMR 4 1 , 2 5 1 8 ) ( Z P L . 2 2 5 , 1 5 0 0 2 )

0 0 1 0 KRONFCKER MATRICES, COMPUTER IMPLEMENTATION, AND GENERALIZED SPECTRA ANDtfMS, H . C . • K.ANF, J . J . ASSOC. CCMPUT. MACH. 1 7 , 2 6 0 - 8 ( 1 9 T 0 ) IMR 4 3 , 2 8 3 6 ) U B L . 1 9 6 , 1 7 / 1

0 0 1 1 BOl'NOS FOR DETERMINANTS M H F V . r>= «» * C R i R T f t e t . 0 . t . LINEAR ALGFBRA ANO APPL 2 , 3C3-9 ( 1 9 6 9 ) (MR 4 1 , 6 8 6 4 ) (RZ 1 9 7 0 , 2A332) I Z h t . 2 0 7 , 4 ? )

U012 AN AlTERKATlVE METHOD OF SOLUTION OF CERTAIN T * I D IAGONAL SYSTEMS OF LINEAR EQUATIONS BAKES. *>. D . CflMPUT. J . 7 , 1 3 5 - 6 11964? |CR 6 , 7 3 1 4 ) IMR 3 1 , 6 3 5 3 ' .'RZ 1 9 6 5 , 2 8 6 1 9 ) ( Z e L . 2 2 9 , 6 5 0 3 1 1

001 :' PRODUCTS Or POSITIVE DEFINITE MATRICES I e t .LLANTINE. C . S . P l iC IF IC J . MATH. 2 3 , 4 2 7 - 3 3 ( 1 9 6 7 ) IMP. 3 6 , 26351 (RZ 1 9 6 8 , 8A304I ( Z B L . ?11( 3 5 3 )

0 0 i 4 PRODUCTS OF POSITIVE D E F I N I T E MATRICES I I f ALL A M I N E . C . S . PACIFIC J . MATH. 2 4 , 7 - 1 7 (19 * .1 ) IMR 3 6 , 33021 (ftZ 1 9 6 8 , 1 0 A 2 5 3 I > Z R l . 2 1 1 , 3531

Oi;15 PRODUCTS OF POSITIVE OEFIN ITE MATRICES I I I 3ALLANTINE. C . S . J . ALGEBRA 1 0 , 1 7 4 - 8 2 1 1 9 6 8 ) IMR 3 8 , 53161 (RZ 1 9 6 9 , 4A315) ( Z 6 L . 2 2 5 , 15012)

00)6 STABILIZATION BY A DIAGONAL MATRIX »Al».»«••»••:«, C . S. P3GC. AMFR. MATH. SOC. 2 5 , 7 2 8 - 3 4 ( 1 9 7 0 ) (MR 4 1 , 5 3 8 8 ) (HZ 1 9 7 1 , 8A283) ( » B l . 2 2 8 , 1 5 0 0 1 )

0 3 ) 7 PROC'CTS OF POSITIVE OEFIN ITE MATRICES IV B A L L - M I N E . C . S . Ll' .EAR ALGEBRA ANO k ? P L . , VOL. 3 , NO. 1 , 7 9 - 1 1 4 ( 1 9 7 0 ) (MR 4 1 , 17665 IRZ 1 9 7 2 , 2 A 4 9 7 I ( Z B l . 1 9 2 , 370J

0 0 1 8 Tp I ANGULAR MATRICES ANO THE CAVLEV-HAMILTON THEOREM RANKER, G. R . MATH. MAG. 4 4 , 3 4 - 6 1 1 9 7 1 ) I Z B L . 2 1 1 , 352 )

jfe-Tîî-;-^: -^-r-Mr^>?r^\:T..-••..•-•T-.: •'>^--^-fia-7^;^,ivi,Yihy.;' i j .^ "VWii ^ i r t iY i i i i i r i t f ' ' " : •iiiiiiTtiii

6

0 0 1 4 l O C A T 2 0 * OF ZfcRCS OF A C C M P L C X POLYNOMIAL BARNETT. S . LINEAR ALGEBRA AND APPL, 4 . 7 1 - 6 11971) («•« 4 4 , 17951

0 0 7 0 SOME OBSERVATIONS ON THE PSEUDO-INVERSE OF A RECTANGULAR MATRIX I I T ) B A S I L * . G . A T T I . ACCAO. S C I . 1ST. BOLOGNA C L . S C I . F I S . RENO, f 1 2 1 6 , FASC. I - ? , 2 3 6 - 4 0 ' 1 9 6 8 - 9 1 IMR 4 0 , 7 2 7 6 1 |RZ 1 9 7 2 , 1 M 0 3 4 ) ( I T A L I A N )

0 0 2 1 SOME ASPECTS OF SCALING INVAR!ANCE BAUER, F . L . PROGRaMMATIONS « . "«AThENAT ICUE S NLMEPI3UES. BESANCON, 7 - 1 4 SEPT. 1 9 6 6 . EDIT IONS OU CENTRE NATI3NALE OE LA RECHERCHE SC IENT IF IQUE. 3 7 - 4 7 U 9 6 8 I ICR 1 1 . I S , 9 0 1 ) IMR 3 7 , 70661 I Z B ; . . 2 0 9 , 4 6 6 1

0 0 2 2 0 I R F C 1 METHOOS FOR COMPUTING ZEROS OF POLYNOMIALS BAUHUBER, F . COMPUTIMG (ARCH. ELFKTRCN. RECHNEM I I 9 T 0 I (MR 4 1 , 4 2 * 7 1 (R7 1 9 7 0 , 6 B 7 8 5 ) IGERMANI

0 0 2 3 LINEAR TRANSFORMATIONS ON MATRICES. THE I N V A R I A N T OF THE THIRD ELEMENTARY SYMMETRIC FUNCTION dEASL. ' . L . B. C A N A D . J . M A T H . 22. 7 4 6 - 5 2 ( 1 9 7 0 1 ( M R 4 2 , 3 1 0 0 1 I 2 B L . 2 0 6 , 3 9 1

0 0 2 4 O N T H E S H I F T E D E I G E N V A L U E " R O B L E M B E L L . R . J . • O E A N , F . P R O C . C A M B R I D G E P H I L . S G C . 6 7 , 9 7 - 9 ( 1 9 7 0 1 ( M R 4 1 , 1 7 6 2 1 ( R Z 1 9 7 0 .

10A2451 ( Z B L . 2 0 6 . 391

002*; INTRODUCTION TO MATRIX ANALYSTS (20. EO.I BELLMAN, * . MCGRAW-HILL BOOK C O . . NEW YORK. 433 PP. 1 9 7 0 . ICR 1 1 , 1 9 , 9 6 8 1 (MR 4 1 . 3 4 9 3 ) I Z B L . 2 1 6 , 6 1 1

0 0 2 6 AN ITERATIVE PROCEDURE FOR THE CALCULATION OF THE LCJEST REAL EIGENVALUE AND EIGENVECTOR Of A NCNSYMMETRIC MATRIX BENDER. C . F . • SHAVITT , I . J . COMPUTATIONAL PHYS. 7 , 1 4 6 - 9 119701 (MR 4 2 , 96761 (F.Z 1 9 7 1 , 4 8 8 5 7 )

0 0 2 7 THE DIMENSIONS OF SYMMETRIC MATRICES WITH A GIVEN MINIMUM POLYNOMIAL BENDER, E . A . LINEAR ALGEBRA AND A P P L . , 3 , 1 1 5 - 1 2 3 ( 1 9 7 0 ) (MR 4 1 , 17641 IRZ 1 9 7 2 , 7 A 4 7 1 ) I Z B L . 1 8 6 , 561

0028 MORE ON LINEAR INEQUALITIES WITH APPLICATIONS TO MATRIX THEORY BERMAN, A . • B E N - I S R . H l . A . J . MATH. ANAL. APPL. 3 3 , 4 8 2 - 9 6 < 1 9 7 i ) (RZ 1 9 7 2 , 5A356) I Z B L . 2 2 1 , 1 2 2 )

0 0 2 9 A NOTE ON PENCILS OF HERMIT IAN OR SYMMETRIC MATRICES HERMAN, A. • BEN- ISRAEL. A. SIAM J . APPL. MATH. 2 1 , 5 1 - 4 U 9 7 1 ) (RZ 1 9 7 2 . 3 A 3 4 5 ) (ZBL . 2 0 5 , 5 0 )

0 0 3 0 ON IMPROVING AN APPROXIMATE FACTOR OF A POLYNOMIAL MITH REAL COEFFICIENTS BY AN ITERATIVE PROCESS BNARGAVA, R. D. • SORAL, R. N . PROC. NAT. I N S T . S C I . I N D I A , A 3 5 , 6 5 9 - 6 4 119691 (MR 4 2 , 1 3 2 6 ) (RZ 1 9 7 0 , 9B57? ) ( Z B L . 2 1 1 , 4 6 8 1

0 0 3 1 REACTOR CRIT ICAL ITY ANO NONNEGATIVE MATRICES BIRKHOFF, G . » VAP.GA, R. S . J . SOC. INDUST. APPL. MATH. 6 , 3 5 4 - 3 7 7 ( 1 9 5 1 ) IMR 2 0 , 7 4 0 7 ) ( Z B L . 8 6 , 2 3 3 )

0 0 3 2 ERRATA, REACTOR C R I T I C A L I T Y AND NONNEGATIVE MATRICES BIRKHCFF, G , • VARGA, ft. S . J . SOC. INDUST. APi>L. MATH. 7 , 3 4 3 11959) ICR 2 . 6 9 6 ) ( Z B L . 9 3 , 3 1 2 )

0 0 3 3 ALTERNATING DIRECTION I P P L I C I T METHOOS BIRKHCFF, G . • VARGA, R. S . » YOUNG, D. M. A0VANCES I N COMPUTERS, ACADEMIC PRESS, 1 8 9 - ; ? ? ( 1 9 6 2 ) (MR 2 9 , 5 3 9 5 ) ( Z B L . I l l , 3 1 4 )

0 0 3 4 AN ITERATIVE ALGORITHM FOR COMPUT TNG THE BEST ESTIMATE OF AN ORTHOGONAL MATRIX BJORCK, A . • BOWIE, C . S.'AM J . NUMER. ANAL. 8 , 3 5 8 - 6 4 I 1 9 V 1 ) ICR 1 3 , 2 , 8 2 5 1 (RZ 1 9 7 2 , 1 A 6 0 7 I ( Z B L . 2 2 1 , 4 8 1 )

0 0 3 5 SOLUTION OF VANTERMONOE SYSTEMS OF EQUATIONS BJORCK, A. • PEREYRA, V . MATH. COMP. 2 4 , 8 9 3 - 9 0 3 U 9 7 0 ) »RZ 1 9 7 1 , 11B 1094 I I Z B L . 2 2 1 , 4 7 3 -

0 0 3 6 ON AN ESTIMATION OF THE ROOTS OF ALGEBRAIC E Q U I T I E S BOJANOV, B. ZASTOS. MAT. 1 1 , 1 9 5 - i 0 5 ( 1 9 7 0 ) (MR 4 2 , 4 7 0 9 1 IRZ 1 9 7 1 , 3B580)

0 0 3 7 THE OR ALGG4ITHM FOR SYMMETRIC TR (DIAGONAL 1 A f » ! C f S USING A S E M I - ( M P L I C I T SHIFT OF O R I G I N BOOTHRO/D, J . AUSTRALIAN COMPUT. J . 2 , 5 5 - 6 0 1 . 9 7 0 ) ICR 1 1 , 2 0 . 1 6 3 ) (MR 4 3 , 1 4 0 0 ) (RZ 1 9 7 1 , 2B873)

7

0 0 3 8 A POSSIB IL ITY FOB ACCELERATING CONVERGENCE OF ITERATIVE PROCESSES FOR PARTICULAR NONLINEAR MOSLEMS MRAFSS. 0 . NUMF* . HATH. 1 4 . 4 6 8 - 7 5 1 1 4 7 0 ) CCR 1 2 . 2 2 , 0 5 3 ) INR 4 3 , 2 8 4 4 ) IRZ 1 9 7 0 , 1 0 8 6 8 1 I (GERMAN)

0 0 3 9 A CHAPTER FROM THE THEORY OF LINEAR SYSTEMS OF EQUATIONS BRASS, H . MATH. PHYS. SEMESTER 8ER. 1 7 , 4 7 - 1 0 8 1 1 4 7 0 ) INR 4 1 , 7B24) I R 2 1 9 7 0 , 887221 U B L . 2 0 7 . 1 5 6 1 IGFRPANI

0 0 4 0 A REMARK ON THE PAPER Of H . H . SCHAEFER AM ESTIMATE OF THE RVWTRItflAt EIGENVALUES OF STOCHASTIC MATRICES 8PAUER, A . MJMER. MATH. 1 7 , 1 6 1 - 3 119711 ICR 1 3 , 2 3 , 0 3 0 ) f MR 4 4 , 11951 ( Z B L . 2 0 6 . 4 6 4 )

0041 Oft THE CHARACTERISTIC ROOTS OF STOCHASTIC MATRICES BRACER. A. • GENTRY, I . C. J . ELISHA MITCHELL S C I . SOC. 8 4 , 3 8 2 - 3 119681 I MR ' . 3 , 7 4 4 7 ) ( Z B L . 1 6 7 , 30 )

0 0 4 2 SO»E RESULTS ON SPARSE MATRICES BRAYTCN, R. K. • GUSTAVSON, F . G . • WlLLObGHBY, R. A. P.ATH. COMP. 2 4 , 4 3 7 - S 4 11970 ) IMR 4 3 , 1 3 5 6 : IRZ 1 9 7 2 , 1 B 1 0 3 0 I

0 0 4 3 GERSGbRIN THEOREMS. REGULARITY THEOREMS* AIM) BOUNDS FOR DETERMINANTS OF PARTITIONED MATRICES BRENNER, J . L. S I A - J . APPL. MATH. 1 9 , 4 4 3 - 5 0 I l « 7 0 l (MR 4 2 , 3 0 9 7 1 IRZ 1 9 7 1 , 4 B 8 6 3 ) I Z B L . 2 0 6 , 3 8 )

0 0 4 4 ON A HIERARCHY Oh GENERA.I ZED DIAGONAL DOMINANCE PROPERTIES FOR COMPLEX MATRICES BRENNER, J . L . • BROWN, M. G . PROC. AMFft. MATH. SOC. 2 5 , < > - » - l l 1 1 9 7 0 ) IMR 4 1 , 5 3 8 9 ) IRZ 1 9 7 1 , 8 A 2 8 6 )

0 0 4 * ERROR ANALYSIS OF ALGORITHMS FOR MATRIX MULTIPLICATION USING MINOCRAO'S IDENTITY BP.ENT, R. P . N u r E R . MATH. 1 6 , 1 4 5 - 5 6 ( 1 9 7 0 ) ICR 1 ? , 2 1 , 4 0 8 ) (MR 4 3 , 9 7 0 2 ) IRZ I 9 7 i , 4 8 8 5 4 ) ( Z B L . 1 9 3 , 1 1 9 )

0046 APPLICATION CF THE EPSILON ALGORITHM TO THE SOLUTION OF NONLINEAR SYSTEMS B R E Z I N S K I , C . C . R . ACAD. S C I . PARIS 2 7 1 A , 1 1 7 4 - 7 1 1 9 7 0 1 (MR 4 2 , 7 0 4 6 ) IRZ 1 9 7 1 , 8B725 ) I Z 3 L . 2 2 8 , 6 5 0 4 3 ) (FRENCH)

0 0 4 7 STUDIES ON THE EPSILON- AND RHO-ALGOP'THNS B R E Z I N S K I , C . NUMER. MATH. 1 7 , 1 5 1 - 6 0 1 1 9 7 1 ) (MR 4 4 , 3 4 5 5 ) (FRENCH)

0 0 4 8 ON AN ALGORITHM FOR SOLVING NONLINEAR SYSTEMS B R E Z I N S K I , C . C . R . ACAO. S C I . P A R I S , SER. A , 2 7 2 A , 1 4 5 - 8 ( 1 9 7 1 ) (MR 4 3 , 1 4 1 0 ) (R2 1 9 7 1 , 7 3 9 1 3 ) ( Z B L . 2 2 8 , 6 5 0 4 4 ) (FRENCH)

0 0 4 9 C f - L A T I O N TECHNIOUES FOR THE CALCULATION OF F'.*TH€R SOLUTIONS OF A NOW INEAR S Y S ' F * blCiH, K. M. • GEARHART, M. B . r.UMER. MATH. 1 6 , 3 3 4 - 4 2 ( 1 9 7 1 ) (CR 1 2 , 2 1 , 5 7 3 ) I MR 4 4 , 2 3 3 1 ) IRZ 1 9 7 1 , 7B914)

0 0 5 0 THE CONVERGENCE OF SINGLE-RANK QUASI-NEMTON METHODS BROYDEN, C . G. MATH. COMP. 2 4 , 3 6 5 - 8 2 119701 IMR 4 3 , 5 7 1 9 1 IRZ 1 9 7 1 , 8 B 7 2 7 I I Z B L . ? 0 R , 184*

0 0 5 1 THE CONVERGENCE OF AN ALGORITHM FOR SOLVING SPARSE NONLINEAR SYSTEMS BROYDEN, C . G. MATH. COMP. 2 5 , 2 8 5 - 9 4 ( 1 9 7 1 ) ( Z B L . 2 2 7 , 6 5 0 3 8 1

0 0 5 2 ON SETS OF CORTEGES OF CHARACTERISTIC ROOTS OF STOCHASTIC MATRICES OF SEMISINPvE STRUCTURE BUHARAEV, R . G . • SOCALOV, J U . A . KAZAN. COS. U N I V . UCEN. ZAP. 1 2 8 , N 0 . 2 , 3 - 1 4 119681 (MR 4 4 , 2 7 7 5 ) (RZ 1 9 6 9 , 5 ' . 307 ) (RUSSIAN)

0 0 5 3 MONITORING THE NUMERICAL STABIL ITY OF GAUSSIAN EL IMINATION BUSINGER, P . A . NUMFR. MATH. 1 6 , 3 6 0 - 1 ( 1 9 7 1 ) ICR 1 2 . 2 1 , 9 1 5 ) IRZ 1 9 7 1 , 4 f l ? l i l ( Z B L . 1 9 4 , 1 8 1 )

0054 A GEOMETRIC PROOF OF CONVERGENCE FOR THE OR METHOD BUOREMA, H . J . T H E S I S . RIJKSUNIVERS T E I T TE GRONINGEN. 5 1 P P . 1 1 4 7 0 1 . ( Z B L . 2 0 6 , 4 6 3 )

0 0 5 5 ON SOME OETfRMIKANTAL INEQUALIT IES CARLSON, 0 . P t C C . AMER. MATH. SOC. ! 4 , 4t>2-6 ( 1 9 6 0 ) IMR 3 7 , 1 3 9 3 ) IRZ 1 4 7 1 , 9 A 3 0 7 )

0 0 5 6 THE PARTITIONING OF NETWORK EQUATIONS FOR BLOCK ITERATION CARRE, B. A. f.OPPUT. J . 9 , 8 4 - 9 7 ( 1 9 6 6 1 ICR 7 , 1 0 9 1 0 ) 'MR 3 3 , 3 4 4 5 ) ( Z B L - 2 2 9 , 6 5 0 * 5 )

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0 0 5 7 A QUADRATIC FORMULA FOR FINDING THE ROOT 0 * AN EQUATION CHAMBERS* I . G. M T M . CQ*P. 2 5 , 3 0 5 - 7 ( 1 9 7 1 ) | R 2 1 9 7 2 , 2 8 8 0 7 ) tlBL. 2 0 2 . 1 5 6 )

0 0 5 • PERTURBATION JF A HERRIT IAN OR NORMAL MATRIX CHATSLIN-LABCRDE. ^. MUNER. MATH. I T , 3 1 8 - 3 7 U 9 T 1 1 ICR l a . 2 3 . 0 3 3 ) IRZ 19 7 2 , 2A483) tint. 7 7 1 . 4 8 0 ) (FRENCH)

0 0 5 9 CHAOTIC RELAXATION CHAZAM. O . • MlRANKER. M. LINEAR ALGEBRA AND A » P l . 2 . 1 9 9 - 2 2 2 119691 INR 4 0 , 5114 ) ( 9 2 1 9 * 9 , 12P78T) till. 225, 650491

0 0 * 0 ON AN EXPOSED ELEMENT OF A SET OF DOUBLY STOCHASTIC RECTANGULAR MATRICES C IHAK, P . COMMENT. MATH. U N I V . CAROL. I I . 9 9 - 1 1 } 119701 < • * 1 9 7 0 , I 2 A 3 0 7 I ( M L . 2 0 5 , 501

0 0 6 1 REMARKS ON OOUBLV SOftSTOCHASTIC RECTANGULAR MATRICES C IHAK, P . COMMENT. MATH. IMllV, r»»«S.» J j , » S S - o ; 1 1 * 7 3 . { S J 1 9 7 i . 2 A 3 i 5 i IZBL. 2 0 5 . 511

0 0 6 2 AN EXTENSION OF THE GENERALIZED IAVERSF 3F A MATRIX C L I M E . R. E. • 6 R f V U . l t , T . N . E . S U M J . A F T . . MATH. 1 9 , 6 8 2 - 8 1 1 9 7 0 1 IMR 4 2 , 4 5 6 5 1 IRZ 1 9 7 1 , BA789)

0 0 6 3 SOME INCLUSION THEOREMS FOR MATRIX PROBLEMS COLLATZ, L . PROGRAMMATIONS FN MATaFMATIOUES NLMEFiOUES. BESANCOM, 7 -14 SEPT. 1 9 6 6 . £01TIONS DU CENTRE NATIONALS OE LA RECHERCHE S C I E N T I F I Q U E . 6 3 - 7 3 119681 INR 3 7 , 6 0 1 6 1 IRZ 1 9 6 6 , 1088481 ( Z B l . 2 0 8 , 4 0 2 1

1*0*4 THE SOLUTION OF E9UATI0MS BV ITERATION COPPEL, H . « . PROC. CAMBRIDGE P H I I . SOC. 5 1 , * : - 3 1 1 9 5 5 ) IMR 1 6 . 5771

0 0 6 5 ON CLASSES OF COPOSITIVE MATRICES COTTLE, R . M. • HABETLER, ' . . J . • L t M f t t , C . E . LINEAR ALGEBRA ANT A P P l , 3 , ? 9 5 - 3 < ? I I 9 7 0 I IMR 4 2 . 2 9 4 1 IRZ 1 9 7 2 . 2 A 4 9 9 ) I Z B i . 1 9 6 . 5 6 1

0 0 6 6 A METHOD OF NORMALIZED BLOCK ITERATION CUTHILL . E . f. * VARGA. R. S . J . ASSOC. COMPUT. BACH. 6 , 7 3 6 - 4 4 1 1 9 5 9 1 ICR 5 , 4 3 7 1 ) IMR 2 2 , • 6 5 1 1

0 0 6 7 N A T S ' I d AL NORMS OE'.'.T^CH, E . ?'jMEB. MATH. 1 6 , 7 3 - 8 4 119701 ICR 1 2 . 2 1 * 4 1 7 1 IMR 4 3 . 32851 IRZ i 9 7 1 , 3A2R6I I 2 B L . I R S , 7 7 )

0 0 6 8 A GENERALIZATION Of THE PERRON-FROBENlUS THEOREM OEMARR, P . OUKE * A T M . J . 3 7 , 1 1 V - 2 0 1 1 9 7 0 ) IPZ 1 9 7 0 , 1 2 A 3 0 4 I I Z B l . 2 1 6 , 6 2 )

0 0 * 9 ON S I G H A ( T ) , N O R H I T ) , AND NORMIT INVERSE I O A N I F L , J . H . • PALMER. T . u . LINEAR ALGEBRA AND A P P l . 2 , 3 8 1 - 6 ( 1 9 6 9 1 ( Z B L . 7 0 5 , 4 9 )

0 0 7 0 Oh METHODS OF M I N I M I Z A T I O N MlTh ACCELERATED CONVERGENCE 0ANIL I N , J l> . M . • PSCENICNVl , ft. N . . . . V Y C I S i . MAT. I HAT. F I Z . 1 0 , 1 3 4 1 - 5 4 1 1 9 7 0 ) IMR 4 3 , 5 6 9 5 ) IRZ 1 9 7 1 , 4 0 8 7 7 ) M U S S ! A N )

0 0 7 1 REFINEMENT f.: THE RfcGION OF THE LCCATION OF THE POINTS OF THE SPECTRUM OF A MATRIX 0A5MIC* I . S . • ZUSNAMOVIC, M. S , Z . W C I S I . MAT. I M A T . - F I Z . 7 , 1 6 3 - 4 1 1 9 6 7 ) IMP 3 5 , 24751 IRZ 1 9 6 7 , 6 8 7 6 5 ) I Z B L . : • « , 4 7 5 ) (RUSSIAN)

0 0 7 2 ON THE QUESTION OF LOCALIZATION OF CHARACTER I S M C ROOTS OF MATRICES OASNIC, L . S . • ZUCNANOVIC, M . S . Z . VVCISL. MAT. f MAT. F I Z . 8 , 1 3 2 1 - 7 ( 1 9 6 8 ) (MR 3 9 , 2 7 8 9 ) <R2 1 9 6 9 , « * 5 R 9 I ( Z B L . 2 0 6 . 4 6 3 ) {RUSSIAN)

0 0 7 3 ON SOME CRITERIA FOR THE REGULARITY OF NATRICES AMI} THE IOC AC IZAT ION OF THE 14 SPECTRA OASNIC. L. S . • ZUSNANOVIC. M . S . Z . VYC1SL. MAT. I MAT. F I Z . 1 0 , 1 0 9 2 - 7 1 1 9 7 0 1 {MR 4 3 . 8 2 2 5 ) (RZ 1 9 7 1 , 3 8 5 7 0 ) I Z B L . 2 1 1 . 4 6 8 ) I f tUSSlANI

0 0 7 4 A CHARACTERIZATION AND A CANONICAL DECOMPOSITION OF HU»N[TZIAN MATRICES OATKO, R. • SESHAORI, V . AMFR. MATH. MONTHLY 7 7 , 7 3 2 - 3 1 1 9 7 0 ) IMR 4 ? . 4 5 6 8 ) |RZ 1 9 7 1 , 5 A 3 9 4 I

0 0 7 5 REPRESENTING A COMMUTING PAIR BT TENSOR PROPJCTS D A V I S . C . LINEAR ALGEBRA AND APPL. 3 , 3 5 5 - 7 1 1 9 7 0 ) IHR 4 2 * 7 9 7 ) IRZ 1 9 7 7 . 2A469 ) I Z B I . 1 9 8 . 3 5 1 )

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0 0 7 * NEWTON-LAGUERRE ITERATION OEKKER. T . J . NATH. CENTRUM. ANSTEAOAN. R E K E N A F O F L I N C . NR 82 I i 9 * * | tCR t . 1 1 . 5 7 4 ) IttR 3«". 5 0 5 8 ) I Z B L . 2 2 5 , 6 5 0 * 2 1

0 0 7 7 THE SNIFTEO OR ALGORITHM FOR H f R N l T I A N MATRICES OEKKERt T . J . • TRAUB, J . F . LINEAR ALGEBRA AND APPL. 4 . 1 3 7 - 5 * 1 1 * 7 1 ) (MR 4 4 , 1 2 0 7 1 IRZ 1 * 7 1 , 1 0 * 7 3 3 1

0 0 7 8 AN ANALYSIS CF THE SHIFTED LR ALGCRITHN OEKKERt T . J . • TRAUR, J . F . NUHEA. NATH. 1 7 , | ? 9 - 8 8 119711 tCR 1 9 , 2 3 . 0 ) 1 1 (M.I 1 * 7 2 , 2 * 3021

0 0 7 9 ON VECTORIAL NORMS AND PSEUOONOSHS OEUTSCH. E . P40C . AMER. MATH. SOC. 2 8 , 1 8 - 2 * I 1 9 T I ) fRZ 1 * 7 2 . 7 * 2 9 * 1

0 9 9 0 N07F GN NONNEGATIVE MATRICES DJ0K0V1C, 0 . 2 . PROC. ANCR. NATM, SOC. 2 % SO-2 ! 1970S !."» A S , 1?*8S 1*1 1 5 7 1 , 8 A 2 9 4 I I Z B L . 1 9 8 , 3511

0 0 8 1 PERIOOIC CHACTIC RELAXATION OONNELLY. J . 0 . P. LINEAR ALGEBRA AND A W L . 4 . 1 1 7 - 2 6 1 1 9 7 1 ) I N * 4 * . 2 9 2 4 1 IR2 1 9 7 1 . 1087741 1 2 8 1 . 2 1 3 . 1631

0 0 8 2 A MODIFIED REGULA FALSI METHOD FOR COMPUTING THE ROOT OF AN EQUATION O O H E l l , M. • JARRATT, P . NOROISK TIOSKR. INFORMATIONSBEHANOLtNC I B I T 1 1 1 . 1 - 4 1 1 9 * 1 1 «R2 1 9 7 2 , 2 8 8 0 6 1

0 0 8 3 CM THE INVERSION OF A MATRIX OF RATIONAL FUNCTIONS DOvNS, T . L I N I A R ALGEBRA AND APPL. A . 1 - 1 0 119711 IHR 4 3 , 7 0 4 6 1

0 0 8 4 ON CERTAIN ALGORITHMS OF L t * E * f t COMPUTATION U T I L I Z I N G SUMS OF NATftlCES OF L3tf HANK OUC-JACOUET. M. REV. FRANCAISE INFORMAT. RECHERCHE OPERATIOMELLF. A. * l - 8 C ( 19701 (MR A 3 , 2 8 3 8 1 IR2 1 9 7 1 , 389661 IFRCNCHI

0 0 8 9 NUMERICAL TREATMENT OF MATRIX EIGENVALUE PROBLEMS MITH QUADRATIC PARAMETER KPENSEf CE DUCK, M. M I S S . Z . HOCMSCH. A R C H I T E K T ' J R BAUMESEN ME I MAR 1 2 . 2 0 7 - 1 4 1 1 9 * 5 1 IRZ 1 9 6 * , 3B 5 8 4 ) I Z B L . 221, 4 8 1 1 <GERMAN!

0 0 8 * A NOTE ON EP LINEAR TRANSFORMATIONS OUKF. J . M. L I -FAR ALGFBRA AND APPL. 3 . 3 7 9 - 8 2 ( 1 9 7 0 1 INK 4 2 * 1 8 3 * 1 IRZ 1 9 7 2 . 2 A 4 9 3 I t Z S l . 1 9 8 , 5 ? )

0 0 8 7 A NOTE ON THE NATRICES DENOTED BY B I N ) FBERLFIN . P . J . S U M J . APPL. RATH. 2 0 , 8 7 - 9 2 119711 I N * « J . 4 2 2 * ) I R Z 1 9 7 1 , 1 0 8 7 3 6 ) I 2 B L . < i 5 , 8 *1

0 0 8 8 COMPLFX MATRIX INVERSION VERSUS REAL FHRLICH, L . H . CONM. ACM 1 3 1 9 1 , 5 * 1 - 2 119701 ICR 1 2 , 2 0 , 5 1 5 ) INR 4 4 , 1 1 9 * 1 IRZ 1 9 7 1 , 3 8 5 7 2 1

0 0 8 9 Ok THE INCLUSION OF PROPER VALUES BY MEANS OF GERSCHGORIN CIRCLES ELSNER, L . Z . AMGEW. NATH. NECH. 5 0 . 3 8 1 - 4 1 1 9 7 0 ) INR 4 1 , 9 4 2 9 ) IRZ 1 9 7 1 . 3B571 ) I Z B L . 2 0 8 , 4 0 2 * I GERMAN)

0 0 9 0 INCLUSION OF PROPER VALUES BY LORENTZ CONES T L S N E * . I . • HAOELFR. K . P . Z . ANGEW. MATH. NECH. 5 0 . 4 2 7 - 9 1 1 9 7 0 ) |K> 4 2 . 7 * 7 9 ) I Z B L . l O S , 1831 (GERrANt

0 0 9 1 AN INVESTIGATION OF THE SOLUTION CF SPARSE $YSTcMS OF EQUATIONS EUFINGFR, J . J . REiNE ANGFN. MATH. 2 4 5 , 2 0 8 - 2 0 I 1 9 : 0 I |MR 4 2 , 6 0 0 * ) I Z B L . 2 2 6 , 1 5 0 0 2 ) I GERM**,»

0 0 9 2 NATURAL NORMS I N ALGEBRAIC PROCESSES FAOOEEV, 0 . K. • FAOEEVA, V . N . S I AM J . NUNER. ANAL. 7 , 5 2 0 - 5 3 1 11970} tCR I t , 2 1 . 7 4 ) 1 INK 4 4 , 1 1 7 9 ) IRZ 1 9 7 1 , 9 8 7 2 7 1 ; Z 8 l . 2 2 2 , 6 5 0 5 5 1

0 0 9 3 Ok THE SOLUTION OF LINEAR ALGEBNAli SYSTEMS WITH RECTANGULAR NATRICES FAOOEFV, Si. K. • KUBLANO\SKAJA, V . N . FAOOEfVA, V . N . TRUDY MAT. I N S T . SIEKLOVA 9 6 . 7 6 - 8 2 11968 ) INR 4 2 , 5 4 ) 4 ) IRZ 1 9 6 8 , 1 2 8 8 1 0 ) (RUSSIAN)

0094 ON LINEAR ALGEBRAIC SVSTEKS OF RECTANGULAR ANO ILL-COROIT I0NEO SYSTEMS FAODEEV, 0 . K. • KUBLANOVSKAJA, V . N . FAOOfFVA. V . N . PRftGRAMMATIOftS ON MATHEMATICUES NUMERIQUES. RESANCON, 7 - 1 4 SEPT. 1 9 * 6 . EDIT IONS OU CENTRE NATIONALE DE LA RECHERCHE S C I E N T I F I O U E . 1 * 1 - 7 0 1 1 9 6 8 1 (MR 3 7 . 6 0 1 7 ) (RZ 1 9 * 8 , 1 2 8 8 1 2 ) l ? 8 L . 2 0 8 , ) 9 9 f (FRENCH)

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• 0 9 5 LINEAR 2LGEMA1C SYSTEMS rflTM RECTANGULAR MATRICES FAOOEFV. 0 . K. • V U B L A N O V S K A J A , V . N . FAOOEEVA, V . N . SCVREPMENNYE CISLENNVE N E I J O V . NATFRIALY ME 10 i.«AROC MO I LETNE1 S K O L V PO CISLENNYM METOOAM. K I E V . t l fc6 G . WPUSK 1 . V Y C i S L I T F t ' H r E JfTCDY L l K M N O I t l G M R Y . P P . 1 6 - 7 S t ? 9 6 B ) INK 3 * , 6 8 8 7 1 ( Z B L . 2 0 4 , KOT>} I MUSS I A N !

0 0 9 * ON THE EIGENVALUES AND EIGENVECTORS OF A CLASS OF HESStWt 'RC "ATRICED FAIRMEATHER, G. S IAH REV. 1 ) . > ? 0 - l 1 1 9 7 1 * (CR 1 3 . 2 3 , 0 3 4 1 ( Z B L . 2 1 7 . 5 2 6 )

0O97 ON THE PROPER VALUES OF NEIGHBORING PAIRS OF NORMAL MATRICES F A I R , S . Z . ANGCM. MATH. M f C M . SO. 4 ' 1 - 1 1 1 * 7 0 ) (•"». 4 2 . 13161 (RZ 1 9 7 1 , 2 A 3 1 2 ) i / » l . 2 0 7 . > 5 7 ) l i E S i » * m

0 0 4 8 SETS OF LINEARLY tNOEREMOFNT PERMUTATIOfc MATRICES FARAHAT. H . F . J . LPNCON MATH. SOC. 121 2 . 1 - 3 114701 1MR 4 2 . 3 0 * 3 » (RZ 1 9 7 2 . 1A621 )

0 0 9 9 A RELAXATION METHOD FOR SOLVING E L L I P T I C DIFFERENCE EQUATIONS FEOCRFNKO. R . P. 7 . VYCISL . NAT. I MAT. F I Z , I , 9 2 2 - 7 U * 6 1 > ;HR 2 5 , ? * *> | R 2 1 9 6 2 . 9 M 1 2 I IRUSSIANI

0 1 M BLOCK O'AGDNALIV DOMINANT MATRICES AND GENERAL 1ZATTONS OF THE GERSOGO*! * ! CIRCLE THEOREM. F C I N C G L O . O . G . • VAJIGA, R . S . PACIF IC J . MATH. 1 2 , 1 2 4 1 - 5 0 119631 INR 2 7 . 1 4 5 8 ) IR2 1 9 6 4 , 1 2 A 1 6 5 I tint.. 1 0 9 , 2 4 8 1

0 1 0 1 METRIC PROBLEMS I N THE SPACE OF MATRICES F IEOLFR. N . PMCRAMMTIONS ON R A T H E M A T I O U E S MUMERIQUES. BESAfCO* . T - l * S E P ' . 1 9 6 6 . EOIT IONS DO CENTRE NAUONA E OE LA RECHERCHE SCfENT I F IQUE. 9 3 - 1 0 3 I 1 9 6 S 1 INR 3 7 . 6 0 1 " 1 IRT 1 9 6 * . t 2 A 2 9 5 l ( ' S i . 2Z2t 6 5 0 5 4 1

0 1 0 2 SOME RESULTS ON MATRICES OF CLASS * ANO THEIR APPl ICATIOM TO THE CONVERGENCE RAT< OF ITERATtON PROCEDURES F IEDLER. M. • PTAX. V . CZECHOSLOVAK MATH. J . 1 6 ( 9 1 1 2 6 0 - 7 3 I I 9 6 6 I (MR 3 3 , 5 0 8 2 1 : « . » . . . 2 0 8 . 4 0 1 )

0 1 0 3 POMCR-WUNOEONESS ANO THE F I E L D OF VALUES OF A MATRIX VON F I W J t E N S T E I N , K. F . NUMER, MATH. 1 5 , 329- -32 ( 1 9 7 0 1 (CR 1 2 , 2 1 , 9 1 1 ) INR 4 3 . 4 2 3 0 ) I R 2 1 9 7 1 . 3 * ? B 4 I I Z f l L . 1 8 6 . 5 8 ) (GERMAN!

0 1 0 4 E«*OR ESTIMATES FOR THE SOLUTION C= LINEAR ALGEBRAIC SYSTEMS F I T Z G E R M D . K. E . J . RES. N A T L . BUR. STANTARCS. SECT, h- * * • - 2 5 J - 3 I G i 1 9 7 O I iCR 1 2 , 2 2 . 1 9 2 ) (MR 4 3 , 1 3 9 8 1 « i " L . 2 2 5 , 6 5 0 4 5 )

0 1 0 5 PITFALLS I N COMPUTATION, 0»* NHT A MATH COOK I 5 N * T ENOUGH FORSVTHE* G . E . AMER. MATH MONTM.V 7 7 , 9 3 1 - 5 6 tl^TZi IZBl . 2 0 7 . 1541

0 1 0 4 THE MAXIMUM ANO MINIMUM OF / P O S I T I V E OEFIN ITE QUADRATIC POLYNOMIAL ON A SPHERE ARE CONVEX F A C T I O N S DF THE RAOI'^S FORSVTfE. G . E . SIAM . ' . APPL. HATH. 1 9 . 5 5 1 - 4 ( 1 9 7 0 1 (MR 4 2 , 3 1 1 2 ) (RZ 1 9 7 1 , 5 8 9 8 5 1 ( Z B L . 2 0 6 . 4 2 1

0 1 0 7 ON THE EXTENSION OF NORMS CH ALGEBRAS OF MATRICES GASTtNE' . , N . NUMER. W H . ( 7 , 7 1 - 8 3 ( 1 9 7 1 1 (CR 1 3 . 2 2 , 3 3 0 ) (RZ 1 9 7 1 9 A 3 0 3 ) (FRENCH)

0 1 0 0 ON THE CALCULATION OF PRODUCTS OF MATRICES CASTJKEL, N . NUNER. MATH. 1 7 . 2 2 9 * 7 ( 1 9 7 1 1 (CR 1 3 . 2 3 , 0 3 2 ) I R Z 1 9 7 2 , 1 4 6 0 5 1 ( Z B L . 2 2 7 , 6 5 0 3 0 ) (FRENCH)

0 1 0 9 T * f PHYSICAL CONTENT O f A U T O N E ' S LEMMA G I U ' E S . ' . . » . SIAM * . A P P l . PATH. 1 9 , 1 4 2 - 3 1 1 9 7 0 ) (MR 4 4 , 1 6 7 8 1 ( Z 6 L . 2 2 8 . 1 5 0 0 3 )

Q U O ON TKC CLASSIF ICATION OF MATRIX GENERALIZED INVERSES G I L L I F S . A . H . S IAN R E " . 1 2 , 5 7 3 - 6 ( 1 9 7 0 1 (MR 4 3 , 7 4 3 * » (RZ 1 9 7 1 . 6 A 3 ? 5 | i * B L . 2 0 5 , 3301

0 1 1 1 SOME WFH THEJREMS ON MATRICES AND THEIR ANALYTIC FUNCTIONS GLIKSCN, A . * « . • _ . MAT. I T A L . 3 , 4 6 6 - 9 1 1 9 7 0 ) (MR 4 2 . 2 9 0 ) (RZ 1 9 7 1 , 1A294 I « > » l . 2 2 3 , 150131

0 1 1 2 STAI.ONARV VALUES OF THE RATIO OF OUAORATIC FORMS SUBJECT TO LINEAR Cp«Sfft£!NTS C-OLUR, i . H . » URD'RvOOO, R. Z . « ' « E N . MATH. PKYS. 2 1 , 3 1 8 - 2 6 ( 1 9 7 0 1 (MR 4 2 , 70561 (RZ 1 9 7 1 , 2A325 ) l i B L . 2 0 6 , 1 6 « )

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0 1 1 3 A UNITARY RELATION BETrfEEN A MATRIX ANO ITS TRANSPOSE GORDON, H . R . CANADIAN MATH. BULL. 1 3 * 2 7 9 - 8 0 1 1 9 7 0 ) I"A 4 2 , ' 1 0 2 1 (RZ 1 9 7 1 , 4 A 3 3 5 ) U S I . 2 2 3 . 1 5 0 1 1 )

0 1 1 4 ON THF EFFECTIVE USI: OF F|xEO~POIKT COMPUTATION FOR SOLVING SYSTEMS OF LINEAR AiGEBRAIC EOUATIONS GCSDONOVA, V . I . 2 . W C l ! i l . MAT. I -:AT. f l . 1 0 , 1 7 7 - 3 1 1 1 9 7 0 ! I * * 4 2 , 86711 (RZ 1 9 7 C , 6A773) ( Z B L . 1 9 4 , 4 6 7 ) (RUSSIAN)

0 1 1 5 GENERALIZATION OF ELEMENTARY N E R N t ^ A K MATRICES GOURLAV, A . R. COMPUT. J . 1 3 . 4 1 1 - 2 S 1 9 7 0 ) (CR 1 2 . 2 1 . 2 4 5 ) (MR 4 2 . 86721 IRZ 1 9 7 1 , 4R868) I Z B L . 2 1 8 , 4 7 6 1

0 1 1 6 THF SIMULTANEOUS NEtfTON IMPROVEMENT OF A COMPLETE S C T OF APPROXIMATE FACTORS OF A POLYNOMIAL GRAU, A. A . S : 4 " J . NU<»tR. ANAL. 8 , 4 ? * - 3 7 ( 1 S 7 1 I ICR 1 2 . 2 7 , 8 1 7 1 (MR 4 4 . * 4 * l ) tloK. 2 2 1 , 4 8 3 )

O U T SOME KE*> ÊNERALiZtO INVERSES * I T H SPECTRAL PfOPERTIcS C S F V I L I E . T . N . E . PPOC. SVHP. CN THEORY ANO « * > L . OF GENCRALIZtO INVERSES OF MATRICES* TFXAS TECHN. COLLEGE. LUBBOCK, TEXAS, PP . c '6-46 1 1 9 6 8 ) IMP 4 0 , 4 2 7 9 ) I Z B L . ? 2 ? , lÔO*f

C-U8 NUMfR.'CAL S M - j T I O N OF PLANE ELASTICITY PROBLEMS. G R I F F I N , 0 . S . * VARGA, R. S . J . S?C. I M D u i f - APPL. MA?H. 1 1 * 1 0 4 6 - 6 2 1 1 9 6 3 ) !CR 5 , 63711 {MR 2 8 , 3 9 4 4 )

0 1 1 9 ON AN ALGORITHM OF LAGUERRE U T I L I Z I N G I HE NETHOO OF STEPS GROSS IART, n . PPOGRAMNATIDNS ON MATHEMATIQUES NUMERICUES. BESA>rC3N, ? - l 4 SEPT. 1 9 6 6 . EDIT IONS OU CENTRE NATIONA..E OE LA RECHERCHE S C I E N T I F I Q U E . 2 0 1 - 4 11968 ) INR 3 7 , 6 0 1 9 ) CZBL. 2 0 7 i 1 5 7 ) (FRENCH!

0 1 2 0 METHOD OF RECURRENT COMPUTATION OF THE CHARACTERISTIC POLYNOMIAL GRIBOV, A . *>. DOKL. AKAO. NAUK SSSR 1 2 7 . 4 9 9 - 5 0 0 1 1 9 6 7 ) (MR 3 6 , 4 7 9 7 1 (RZ 1 9 6 8 , 5 B 7 9 7 I . ( Z f t L . 2 0 7 , 1571

0 1 2 1 CONCERNING MATRIX NORMS, GERSCHGORIN C I S C l F S AND JACOBI ROTATION H A O E L F R , K . P . COMPUTING (ARCH. FLEKTRCN. RECHNEM 1 , 2 7 3 - B O 1 1 9 6 6 ) ICR 8 , I 2 , 0 0 4 > (MR 3 5 , 6 3 4 9 ) (RZ 1 9 6 7 , 118676 ) ( Z B L . 2 1 3 , 4 1 7 ) (GERMANI

0 1 2 2 ON THF AREA CF THE F IELD OF VALUES OF A MATRIX HAOELFR, K . P . MATH. NACHR. 4 5 , 9 7 - 1 0 0 a 9 6 9 ) (MR 4 2 * 4 5 7 2 1 ( Z B L . 1 6 5 , 3 4 7 ) (GfRHANI

0 1 2 3 BLOOt I K ' R U I V E METHODS FOR CYCLICALLY REDUCED MATRIX EQUATIONS. HA.FHAN, i_, A . • VARGA, R. S . NUMER. MATH. 6 , 1 0 6 - 1 9 ( 1 9 6 4 ) ICR 5 * 6 7 J 2 ) |MR 2 9 - 4 1 8 5 ) IRZ 1 9 6 4 . 1 2 8 5 3 6 ) ( Z B L . I l l * 1411

0 1 2 4 COMPUTING THE MAXIMAL EIGENVALUE ANO EIGENVECTOR OF A NONNECATIVE 3RREOUCI8LE " U T A Y X HALL, C . A . • "nRSCHlNG. T . A . SIAM J . NUNFR. ANAL. 5 , 4 7 0 - 4 ( 1 9 6 8 ) (CJ 1 1 , 1 8 * 2 9 8 ) (MR 3 8 , 5 3 8 ) (RZ 1 9 7 1 , 3A298) ( Z B L . 2 0 8 * 4 0 3 )

0 1 2 5 NESTED 80UN0S FOR THE SPECTRAL RACIUS HALL, C . A . • SPAN)PR, J . SIAM J . NUMER. ANA. . 5 . 1 ( 3 - 2 5 1 1 9 6 8 ) (CR 1C . 1 7 , 3 1 0 ) INR 3 7 * 10701 (RZ 1 9 7 1 , 5B986 ) ( Z B L . 1 6 7 , 4 5 4 )

0 1 2 6 EIGENVECTORS AND A D J 0 1 * ? * HALMOS. » . R. LINEAR ALGEBRA UVO APPL. 4 . 1 1 - 5 11971 ) (MR 4 3 , 7 4 4 1 ) (RZ 1 9 7 1 , 10A176)

0 1 2 7 ON SOLVING SYSTEMS OF EQUATIONS USING INTERVAL AR* HNETIC HANSEN, E . R. PATH. CONP. 2 2 , 3 7 4 - 8 4 ( 1 9 6 8 ) (ZBL. 2 2 3 , 650121

0 1 2 8 INTERVAL ARITHMETIC I N MATRIX COMPUTATIONS. PART I t HANSEN, E . R. « SMITH* R. SIA.1 J . NUMER. ANAL. 4 . 1 -9 1 1 9 6 7 ) (CR 9 * 1 5 * 4 2 9 ) ( * R 3 7 , 4 9 4 6 1 (RZ 1 9 7 1 , 2 8 8 6 0 ) I Z B L . 2 0 9 , 4 6 6 )

0 1 2 9 AUTOMATIC ERROR BOUNDS FOR REAL ROOTS OF POLYNOMIALS HAVING INTERVAL COEFFICIENTS HANSON, R. J . CRXPUT. J . 1 3 , 2 8 * - f l 1 1 9 7 0 ) ICR 1 2 * 2 1 , 0 6 3 ) (MR 4 3 , 1 4 1 1 ) (RZ 1 9 / 1 , 2 B 8 6 8 I ( Z B L . 1 9 5 , 4 5 1 )

0 1 3 0 A S I M P L I F I E D FORM FOR NEARLY REDUCIBLE ANO NEARLY DECOMPOSABLE MATRICES HARTFIEL, 0 . J . PROC. AMER. MATH. SOC. 2 4 , 3 8 8 - 9 3 ( 1 9 7 0 ) (MR 4 0 , 56 3 5 ) IRZ 1 9 7 1 , 8A292) I Z B L . 2 0 5 , 4 7 )

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0 1 ) 1 0M CONSTRUCTING N E M I V OECCPPCSARlE NA1RICES H A f t T f l F l , 0 . J . r u n e . A M E R . « m . s o c . 2 7 , ? ? ? - • u « ? n I R Z 1 9 7 2 . * « m I Z B L . 2 1 2 , 3 6 * 1

0 1 3 2 A NCTE OH THE GENERALIZED INVERSES Of SOME PARI IT IONEO MATRICES HA*MOOD. M. * . * IGVASS-NAGV. V . • PCMERS. 3 . I . S U K J . A P P l . MATH. 1 4 . 5 5 5 - 5 ( 1 9 7 0 1 IHR 4 2 , 70481 ( * l 1 9 T 1 . J U ? * I I Z S l . 2 0 6 . 320 )

0 1 ) 3 APPLICATIONS Of AN INEQUALITY FOR THE \C*tK COMPLEMENT H A Y N S N O R T H . E . V . PROC. AMEA. HATH. SOC. 2 4 . 5 1 2 - 1 6 114701 I M 4 1 , 2 4 I t (RZ 1 4 7 1 , SA241) I Z S L . 1 9 8 , 921

0 1 ) * REDUCTION Of A NAT* IX USINC PROPERTIES OP THE SCHU4 COMPLEMENT H A Y N S M D R T H , E . V . LINEAR ALGEBRA ANO APPl .» 3 , 2 3 - 2 5 114701 IHR 4 1 , 68751 (RZ 1 4 7 2 . 2 A t 8 2 l (ZRL. 1 9 8 . 521

0 1 3 5 GENERAL1ZE0 INVERSES ANO SOLUTIONS • > LINEAR SYSTEMS HfARON. J . Z . J . RES. NAT. BUR. STAMnARQS SECT * S . 7 2 8 , 3 0 J - S 5 1 9 i S ! INS T * . 2 2 4 1 fRZ 1 4 6 4 , I 1 8 6 4 8 ) ( Z B l . 2 1 2 * 3 6 * 1

• 1 3 6 ROOTS Of AN IRRFDuCIBlE CONTINUANT HEAROH. J . Z . LINEAR ALGEBRA AMt> APPl . . 3 , 1 , 1 2 5 - i r T 1 1 9 7 0 ! INR 4 1 , 2 3 1 ) IRZ 1 4 7 2 , 2 * 4 9 0 ) I Z S L . 1 8 6 . 3 3 S I

0 1 3 7 LOGARITHMS Of MATRICES HELTON, B . N . PftOC. AMER. MATH. SOC. 1 « . 7 3 3 * 6 119681 (RZ 1 9 7 1 , 8 A 2 8 4 I ( Z B L . 1 7 4 , S3»

0 1 3 8 UPPE« BOUNOS fOR THE ABSCISSA OF STABILITY Of A STABLE POLYNOMIAL H E M I C I . P . S I AM J . NUPER. ANAL. 7 , S 3 B - 5 4 * 119701 ICR 1 ? , 2 2 , 0 4 7 ) l - R 4 3 . 4 8 9 »

0 1 3 9 M C T H O D S Of SEARCH FCR SOLVING POLYNOMIAL EQUATIONS H F N R I C I . P . J . ASSOC. COMPUT. NACH. 1 7 , 2 7 3 - S 3 119701 INR 4 3 , » 0 5 8 l I Z S L . 2 2 2 . 6 5 * 5 7 )

0 1 4 0 PATTERNS Of DEPENDENCE I N GENERALIZATIONS Of GERSCHCGRIN*< T*CO«EP HOf fMAN. A . J . •» VARGA, R. S . S1AM J . M INER. ANAL. 7 . 5 7 1 - 4 1 1 9 7 0 ) ICR 1 2 . 2 1 , 7 4 4 1 IRZ 1 9 7 1 . S * 7 ; ? | I Z B L . 2 1 7 . « l

0 1 4 1 OR* POMERS OF N O M t E G A ' ^ E MATRICES HOUAOAV, J . C . * YA'GA, R . S . PROC. AMER. PATH. SQL 4 . 6 3 1 - 4 1 1 9 4 8 ) INR 2 0 . 6461 I Z S l . 9 6 , S I

0 1 4 2 ON M I N I M I Z I N G THE NUMBER Of MULTIPLICATIONS NECESSARY FTP MATRIX MULTIPLICATION H0PCROFT, J . E . • KE*R. L . R. S IAP J . A P P l . MATH. 7 0 . 3 0 - 6 1 1 9 7 1 ) <C* 1 2 . 2 2 . 1 4 3 1 IRZ 1 4 7 1 , 1 1 A 3 6 0 I I Z B L . 2 1 4 , S M I

0 1 4 3 SOME APPLICATIONS OF THE THEORY OF NORMS HOUSEHOLDER. A . S . PROGRAMNATIOMS ON HATNEMAT1OUCS NUMERIOJES. BESANCON. T - l * SEPT. 1 4 6 6 . EDIT IONS OU CENTRE NAT I ON ALE Of LA RECMERC4E SC IENT I F I Q U E . 2 7 - 3 * 1 1 9 6 3 ) IMP ? 7 , 6 0 2 0 1 ( Z B L . 2 0 7 , 1 5 5 1

0 1 4 4 BEZOUTIANTS, E l l N l N A T I O N ANO l O C A l l i A T I O M HOUSEHOLDER. .«. S . S U M REV. 1 2 . « * - 8 119701 (CR I t , 1 9 , 9 5 3 ) (MR 4 2 , 7 0 6 2 ' I Z S L . 1 9 4 , 4 6 9 1

0 1 4 5 OH THE PENULTIMATE REMAINDER ALGORITHM AND THE CATALYTIC MULTIPLIER HOUSEHOLDER, A. S . S fAN J . A P P l . MRTH. 1 9 , 6 6 8 - 7 1 119701 1MB 4 2 , 7 0 6 1 ; (RZ 1 9 7 1 , • 0 7 2 8 )

0 1 4 6 GENERALIZATIONS Of AN ALGORITHM Of SEBASTIAO E S U V A HOUSEHOLDER. A . S . NUMCR. MATH. 1 6 , 3 7 5 - 8 2 ( 1 9 7 1 1 ICR 12* 2 1 , 9 0 2 ) IKX 4 4 , 2 3 3 2 1 IRZ I 4 7 | , 6 8 8 6 1 1 ( Z B L . 1 9 7 , 4 3 9 1

0 1 4 7 THE PAOE TABLE, THE FRCBENlUS I D E N T I T I E S , ANO THE 0 0 ALGORITHM "OUSEHOlDER. A . S . LINEAR A l * F * R A ANO A P P l . 4 , 1 6 1 - 7 4 119711 I Z B L . 2 1 3 , 1641

014B NUlTIGRAOIFNTS AND THE ZEROS Of TRANSCENDENTAL fUNCT'.JMS HOUSEHOLOCR, A. S . LINEAR ALGEBRA ANO A P P l . 4 , 1 7 5 - 8 2 119711 IRZ 1 9 7 2 , 1 8 1 0 8 5 ) I Z B L . 2 1 3 , 1651

0 1 4 9 THE NUMERICAL FACTORIZATION Of A POLYNOMIAL HOUSE KX. O F * . A . S . • STFMAPT, G . k . S IAP REV. 1 3 . 3 8 - 4 6 1 1 9 7 ! ) ICR 1 2 . 2 2 . 1 8 4 1 (MR 4 4 , 34851 IRZ 1 4 7 2 , 1B10B6) ( Z 8 ( . 2 2 5 , 6 5 0 6 3 )

13

oiso A NCTE ON GERSCHGORIN*S INCLUSION THEOREM FOR EIGENVALUES OF MATRICES HOUSEHOLDER, A . S . • VARGA. R . S . • WILKINSON, J . H . %UMfR. « T H . 1 6 . 1 4 1 - 4 119701 (C« 1 2 . 2 1 , 5 6 8 1 INR 4 3 , 14011 (RZ 1 9 7 1 . 4RB69I 1 2 9 1 . 1 9 2 . 3691

0 1 5 1 MATRIX EQUATIONS AND THE SEPARATION OF MATRIX EIGENVALUES HOMIANO. J . L . J . WITH. ANAL. A P P l . 3 3 , 6 * 3 - 9 1 119701 1MB * » , 2 3 3 1 (AZ 1 9 7 2 , 4 A 4 1 9 1 I 2 S L . 1 S 7 . 3011

0 1 5 2 A CONSTRUCTIVE METHOD FOR THE SOLUTION OF THE STABIL ITY PROBLEM HONLANO, J . L . * S E * i Z , J . A. NUMER. MATH. 1 6 . I - T 1 1 9 7 0 1 CMR 4 2 , 84 O l (RZ 1 9 7 1 , 48871J

0 1 5 3 A GENERALIZED lNVF^SE »MlCH GIVES ALL THE INTEGRAL SOLUTIONS TO A SYSTEM OF LINEAR EQUATIONS HURT. M. F . • H A I O . C . S I - N J . A P P l . MATH. 1 9 . 5 4 7 - 5 0 119701 IAZ 1 9 7 1 , 6 A 4 0 9 I

0 1 5 4 THE MAXIMUM-RANK MINI"UT-TERM-RANK THEOREM FOR THE PIVOTAL TRANSFORMS OF A MATRIX I R I , M . LINEAR ALGEBRA AND APPL. 2 . 4 2 7 - 4 6 I 19 *91 (MR 4 1 , 349561 I Z B L . 2 0 6 . 401

0 1 5 5 HIGHER ORDER 8AIRSTRM METHOD FOR SOLVING POLYNOMIAL EQUATION J A I f t , M. K . * KRISHAN, R. I . ANGEH. MATH. NECK. 5 1 . 5 1 - 2 ( 1 9 7 1 1 (AZ 1 9 7 1 , 1 0 6 7 4 0 1

0 1 5 6 A THREE-STAGE ALGORITHM FOR Rf.VL POLYNOMIALS USING QUADRATIC ITERATION JENKINS, '« . A . • TRAUB, J . F . S U M J . NJMFR. ANAL. 7 , 5 4 5 - 5 6 1 . ( 1 9 7 0 1 ( C * 1 3 . 2 2 , 3 3 3 1 (MR 4 3 . 5 7 1 6 1 ( A / 1 9 7 1 . 1 0 8 7 3 7 )

3 1 5 7 A OIRECT JTFRATION METHOO OF OBTAINING LATENT ROOTS ANO VFCTORS OF A SYMMETRIC MATRIX JENNINGS, A . PRCC. CAMBRIDGE P H I L O S . SOC. 6 3 , 7 5 5 - 6 5 1 1 9 6 7 1 (MR 3 5 , 3 8 7 3 1 (RZ 1 9 6 9 , 4 A 8 0 2 ) I Z B L . 2 ? * , 6 5 0 2 9 1

015S CALCULATION CF BEST ISOLATED GfRSCHGORIN DISCS JOHNSTON, R. L . • S M I T H . B . T . NUMtR. MATH. 1 6 , 2 2 - 3 1 ' 1 9 7 0 1 (CR 1 2 * 2 1 . 9 1 2 1 (MR 4 3 , 14021 (RZ 1 9 7 1 , 4 B 8 6 0 )

0 1 5 9 REMARKS ON THE INERTIA CF A MATRIX JOYCE- i . T . * BARNETT. S . LINEAR ALGfBRA ANO A P P l . 3 , 1 - 5 ( 1 9 7 0 1 (MR 4 1 . 6 B T 6 I IRZ 1 9 7 2 . 7A488 ) (ZRL 1 8 « . ~ 8 I

0 1 6 0 GEOMETRIC THEC*r OF THE UNITARY EQUIVALENCE OF MATRICES KALUZNIN, L . A . • H A ^ I O I , H . OOKL. AKAO. NA4K ^ S * * 1 6 9 , 1 0 0 4 - 1 2 ( 1 9 6 6 1 (MR 3 3 , 7 3 5 4 1 IRZ 1 9 6 7 , 1A242 I 1 / 8 1 . 1 5 2 . i 5 ) (RUSSIANI

0 1 6 ! A CONVERGENCE CRITERION FOR MULTIPLE RATIOS ."AM8AYASHI, T . PORTUGAL . PATH. 2 6 , 3 7 5 - 9 ( 1 9 6 7 1 I Z B L . 2 1 2 , 3 * 9 1

0 1 6 2 REMARKS ON A PAPER BY -) EN-ISRAEL KAT7. I . J . S I A P J . APPL. MATH. 1 8 . 5 1 1 - 3 119701 (MR 4 1 , 6 8 6 3 1 (RZ 1 9 7 1 , I A 3 I 0 I ( Z R L . 2 1 6 , 6 1 i

9163 FACTORIZATION OF POLYNOMIALS NITH ERROR BOUNDS KATZAN, P . BERICKTE OER GCSfLLSCHAFT FU» MATHENATIK UNO OATFNVERARBEITUNG BONN. NO. 18 119691 I Z R L . 2 2 7 . 6 5 0 3 6 1 (GERMANI

0 1 6 4 ON LIMEA* INEQUALIT IES I N COMPLEX SPACE K A U 1 , R . N . AMCR. M A I * . MONTHLY 7 T . 9 5 6 - 6 0 1 1 9 7 0 1 INR 4 2 , 31081 IRZ 1 9 7 1 , 8 A 2 9 5 I

0 1 6 5 ON THE RESOLUTION OF QUAORATIC POLYNOMIAL MATRICES INTO PRODUCTS OF LINEAR MULTIPLIERS K A Z I M I R S K I I . P . S . UKRAIN. MAT. 2 . 1 7 ( 5 1 1 1 5 - 9 ( 1 9 6 5 1 (RZ 1 9 6 6 , 3 A I 5 8 I (PR 3 2 , 4 1 3 9 1 I Z B L . 1 4 7 , ? > 7 I (RUSSIAN)

0 1 * 6 ON A METHOD FOR SEPARATING LINEAR MULTIPLIERS OF MATRIX POLYNOMIALS K A Z I M I R M I I . P . S . • N U n i l , N . | . OOPOVini A . N . URSR ( 1 9 7 0 1 A, 3 9 4 - 6 ( 1 9 7 0 1 (MR 4 3 , 4 8 4 0 I (RZ 1 9 7 0 * I 2 A 3 3 1 I I Z R L . 1 9 8 , 531 ( W A i N I A N )

0 1 6 7 ON CERTAIN ALNOST-TRlAMGtlAR BAND MATRICES KEEPING, A . J . SIAM J . NUMfR. ANAL. 8 , 2 8 R - 3 0 3 ( 1 9 7 1 1 (RZ 1 9 7 2 , 2 4 5 3 0 ) I Z B L . 2 2 2 , I 5 O 0 4 I

0 1 6 8 A CONVERGENT ITERATIVE PROCESS FOR DETERMINING THE ZEROS OF A POLYNOMIAL KElLfNeEtSF*. M. . . ANGEN. M A T H . PHYS. 2 1 , 6 4 7 - 5 1 1 1 9 7 0 ) (MR 4 2 , 8 6 8 4 1 ( Z 8 L . 2 0 2 , l ' , M (RZ 1 9 7 1 , 2B879 ) (GERMfi l l

0 1 6 9 ON THE CONVERGENCE OF THE CLASSICAL JACOBI METHOD FOR REAL SYMMETRIC MATRICES tf!TH NON-01 STINCT EIGENVALUES VAN KENPEN, H . P . M . NU-ER. MATH. 9 , 1 1 - 1 8 1 1 9 6 * 1 I C * 8 , 1 2 . 9 0 6 I (MR : 4 , 2 1 * 3 1 (RZ 1 9 * 7 , 6 8 7 6 1 1 I Z B L . 2 7 9 , 6 5 0 3 7 1

14

0 1 7 0 CN THE 3UAORATIC CONVERGENCE OF IhE SPECIAL CYCLIC JACOSI METHOD VAN KFMPFN, *•. P. N . H\}*t*. :«ATH. 9 , 11-22 ( 1 4 6 6 1 ICR 8 , 1 2 . 3 4 5 ) ( M 3 * , 2 1 6 * ) (AZ 1 4 6 7 . 687<>0> I Z B L . 2 2 4 , 6 5 0 3 8 )

0 1 7 1 VARIATION OF THE EIGENVALUES OF A SPECIAL CLASS OF HERNITIAM MATRICES UPON VARIATION OF SOME OF I T S FLEPENTS VAN KFMPEN, I - . P. N . LINEAR AIGEBRA ANO APPL. 3 . 2 6 3 - 7 3 ( 1 4 7 0 1 IMR * 1 , 6 * 6 4 ) |R2 1 9 7 2 , 2 A * 8 7 )

0 1 7 2 ON COMMUTATIVE NILPRTENT OPERATORS K I N , H . W. COP>»>. PURE A P P l . NATH. 2 3 , 8 8 5 - 9 1 9 I I 9 7 0 I (MA * 2 , 76801 ( Z B L . 2 0 2 , 161

0 1 7 3 IMPROVED N E M T J N ITFRATICN FOR INTEGRAL ROOTS K I N G . R. F . • A T M . COMP. 2 5 . 2 9 9 - 3 0 * 114711 (MR * * , 1 2 1 U (RZ 1 9 7 2 , 1 B 1 0 7 8 I ' 2 B L . 2 1 5 . 5 5 5 1

0 1 7 * CRITERIA FOR THE REPRESENTABU I T V OF A M « T « f * 4$ T M C M.gsUC? OF A L8k£S TR1 AK£JL*i i ANO AN UPPER TRIANGULAR MATRIX KIRZNER, V . M. USPFHI MAT. NAUK 2 0 , 6 11261 1 0 ? - * 4 19651 (MR 3 3 , * 0 6 t > (RZ 1 9 6 6 , 5 A l * 3 ) I 7 B L . 1 7 8 , 3 5 6 1 (RUSSIAN)

0 1 7 5 EXPRESSIONS FOR THE CONVERGENCE OF K1NCA|D*S PROCEDURE FOR TKE APPROXIMATE SOLUTION OF NONLINEAR SYSTEMS OF EQUATIONS KLEINMICHEL, H . Z . ANGEU. MATH. HECH. 5 0 , 6 5 5 - 6 * ( 1 9 7 0 1 (MR * 3 , * 2 * H (R2 1 4 * 1 , 5 B 9 4 6 I I GERMANI

0 1 7 6 ON THF MIN IMIZAT ION OF COMPUTATIONAL ALGORITHMS FOR THE SOLUTION OF ARBITRARY SYSTEMS OF LINEAR EQUATIONS KOKOVKIN-SCERSAK, N . I . UKRAIN. MAT. 2 . 2 2 , * 9 * - 5 0 2 1 1 9 7 0 1 (MR * 2 , 7 0 5 1 1 IZBA.. 2 2 1 , * « 2 1 (RUSSIAN)

0 1 7 7 SOME ITERATIVE METHODS FOR IMPROVING ORTHONORNALITY KOVARIK, 2 . SIAM J . NUHtR. ANAL. 7 . 3 8 6 - 9 ( 1 9 7 0 ) (CR 1 2 , 2 1 , 2 * * 1 (MR * 2 » 2 6 2 * 1 (RZ 1 9 7 1 , 5 A 3 8 3 ) ( 7 B L . 2 1 7 , 2 1 5 )

0 1 7 8 TTERATIVE PROCESSES FOR DETERMINING COMPLEX ZERSt KRAMCZYK, R. Z . ANGEtt. HATH. MECH. 5 0 . T 5 8 - 6 1 ( 1 9 7 0 ) (MR 4 3 , 1 * 1 2 1 (RZ 1 9 7 1 , 2B882 ) (GERMAN)

0 1 7 4 'IMPROVEMENT OF BOUNOS FCR PROPER VALUES ANO VECTORS OF MATRICES KRAMCZVK, R. COMPUTING (ARCH. ElEKTRON. RECHNEM 5 , 2 0 O - 6 ( 1 9 7 0 1 (CR 1 3 , 2 2 , * 6 1 ) (MR * 2 , 1 3 1 4 ) (RZ 1 9 7 1 , * B 8 7 0 ) I Z N L . 1 9 9 , * 9 B ) (GERMAN)

0180 A THEOREM ON PRCPE2 VALUES CF MATRICES K R E T S i I G , E . r i E M . MATH. 2 5 , 6 0 - 1 1 1 9 7 0 ) (MR * 1 , 8 * 1 8 ) (AZ 1 9 7 1 , 1 A 3 0 * I ( Z O L . 701, * 8 ) (GERMAN)

0 1 8 1 COMPUTING POLYNOMIAL RESULTANTS* BEZOuT'S DETERMINANTS V S . COLLINS' REDUCED P . R . S . ALGORITHM K U , S . Y . * AOLER, R. J . COMMUN. ACM 1 2 , 2 3 - 3 0 1 1 9 6 9 ) (MR * 3 , 5 7 1 7 ) M Z 1 9 6 9 , 11B663) ( Z 9 L . 1 8 1 , 175 )

0 1 8 2 ON CERTAIN ITERATING PROCESSES FOR THE SYNMETRIZATION OF A MATRIX KUBLANOVSKAJA, V. N . Z . VYCISL . MAT. I . MAT. F I Z . 2 , 7 6 0 - 7 1 1 7 6 2 ) (MR 2 6 , 3175 ) I Z B L . 2 0 8 , 181 ) (RUSSIAN)

01S3 ON A CERTAIN ITERATIVE PROCESS FOR THE DETERMINATION OF PROPER VALUES OF SMALL MODULUS 'NO THE CORRESPONDING PROPER VECTORS KUBLANOVSKAJA, V . N . TRUDY HAT. I N S T . STEKLOVA 9 6 , 9 3 - 1 0 * ( 1 9 6 8 ) (MR > 2 , 7 0 5 7 : IRZ 1 9 6 9 , I R 7 1 5 ) ( Z B L . 2 1 3 , 1 6 * ) (RUSSIAN)

0 1 8 * APPLICATION OF ORTHOGONAL TRANSFORMATION; TO THE NUMERICAL REALIZATION OF A LINEAR ALGEBRAIC PROBLEM Of PERTURBATION KURLANOVSKAJA, V . N . Z . VYCISL. MAT. I MAT. F I Z . 1 0 , * 2 4 - 3 3 ( 1 4 7 0 ) (MR * ± , 5 7 0 ? ) IRZ 1 4 7 0 , 9 A 2 7 6 ) ( 2 B L . 2 2 2 , 6 5 0 * 2 ) (RUSSIAN)

0 I S 5 ON AN APPROACH TO THE SOLUTION OF THE GENERALIZED LATENT VALUE PROBLEM FOR LAM80A-MATRICES KUBLANOVSMJJ, V. N . SIAM J . NUMFR. » N A l . 7 , 5 3 2 - 5 3 7 ( 1 4 7 0 1 (CR 1 2 , 2 1 , 9 1 0 ) (MR * 3 , 7 0 5 1 ) (RZ 1 9 7 1 , 9 5 7 2 2 ) I Z B l . 22*, 6 5 0 * 8 )

0 1 8 6 ON A CERTAIN APPROACH TO THE SOLUTION OF INVERSE PROBLEMS OF PROPER VALUES KUBLANOVSKAJA, V. N . ZAP. NAUCN. SEN. LENINGRAD. OTDEL. MAT. I N S T . STEKLOV. (LOMI ) 1 8 , 1 3 8 - * * 114701 (RZ 1 4 7 1 , 5 B 4 4 2 I (RUSSIAN)

0 1 8 7 THE SOLUTION OF TMO SIMULTANEOUS EQUATIONS K U L I K , S . OUKF MATH. J . 3 1 , 1 1 9 - 2 2 ( 1 9 6 * 1 (PR 2 8 . 1 7 * 5 ) I Z * L . 2 1 3 , * 1 4 )

'5

0 1 8 8 Cfc THE SOLUTION CF SYSTEMS CF LINEAR EQUATIONS KU2NECHV. V . G. 1. VVCISL. " A T . I HAT. F U . 7 , 1 5 7 - 6 0 ( 1 4 6 7 ) (C« 9 , 1 4 . 5 3 3 ) (M» 3 * . 8 6 2 7 ) |R2 1 9 6 7 , 6 A 7 5 8 I I Z 8 L . 2 0 5 , 1711 (RUSSIAN)

0184 «XP«. ICIT SCLUTION CF LINEAR MATRIX EO'JATIONS LANCASTER. P . S IAN ?EV. 1 2 , 5 4 4 - 6 6 1 1 4 7 0 ) (MR 4 3 . 484 11 (RZ . 9 7 1 , 6 A 3 9 4 )

0 1 4 0 JORDAN CHAINS FOR LAMBDA MATRICES, I ' . LANCASTER, P . AEOUATIONES MATH. S , 2 9 0 - 3 ( 1 4 7 0 ) IR« 1 9 7 1 , ;1A>65>

0 1 9 1 RFHARKS ON THE CONVERGENCE CF THE OR HETHOO IEBAU0, C . REV. FRANCAISES INFORMAT. RECHERCHE OPERATIONfcELL: 2, 1 0 3 - 1 2 ( f t * 1 9 6 9 . 1 0 8 6 0 7 1 119481 ICR 1 2 , 2 1 . 2 4 6 1 (MR 4 0 . 1017 ( 2 B L . 2 0 8 , 4 0 1 1 I FRENCH I

0142 THE DOUBLE QR ALGORITHM MlTH SHIFT LEftAUO, C . NUMER. MATH. 1 6 , 1 6 1 - 8 0 11470 ) ICR 1 3 , 2 3 , 3 7 2 1 (R2 ! 9 7 1 , 5C489I I Z B L . 1 9 5 . 1681 (FRENCH)

0 1 9 3 SEARC" PROCEDURES FOR POLYNOMIAL EQUATION SOLVING LEHMER, 0 . H . CONSTRUCTIVE ASPECTS OF THE FUNDAMENTAL THEOREM OF ALGEBRA. BRUNO DEJOK AND PETER H E N R I C I , EOS. 1 9 3 - 2 0 6 ( 1 9 6 9 ) ICR 1 1 . 1 9 , 2 7 2 ) <MR 4 % 26521

0194 ON THE HURWlT? MATRIX LEHNIGR. S . H . Z . ANGFW. MAIM. PHYS. 2 1 . 4 9 8 - 5 0 0 1 1 9 7 0 ) ! * » 4 2 , 1 8 4 0 ) l * Z 1 9 7 0 , 12B865I I Z B L . 2 2 3 , 1 5 0 0 2 )

0 1 9 5 RAPIDLY CONVERGENT RECURSIVE SOLUTION OF QUADRATIC OPERATOR EQUATIONS L E I P N I X , R. R. NUMFR. MATH. 1 7 , 1 - 1 6 ( 1 9 7 1 ) (CR 1 3 . 2 2 . 4 6 2 1 I N * 4 4 . 34861

0 1 9 6 MINIMAL GE"SHGORIN SETS I I LEV INGER, 8 . <i. • VARGA. R. S . PACIFIC J . MATH. 1 ? , 1 9 9 - 2 1 0 11966 ) (MR 3 3 , 2 6 3 9 ) (RZ 1 9 6 7 , I A 2 4 8 ) CZRL. 1 6 8 , 301

0 1 9 7 ON A PROBLEM OF G . TAUSSKY LEVINGER. 8 . M. • VARGA, R. S . PACIFIC J . MATH. 1 7 , 4 7 3 - 8 7 ( 1 9 6 6 ) IMR 3 4 , 5 8 4 5 ) (RZ 1 9 6 7 , 1 0 8 7 3 1 ) ( Z B l . 1 6 8 , 2 8 1 )

0 1 9 8 THE PERMUTATION OF A CERTAIN CLASS OF MATRICES ICOATO, V . A . COMPUT. J . 1 3 , 4 0 5 - 1 0 1 1 9 7 0 ) ICR 12* 2 1 . 0 7 0 1 l *R 4 3 . *232> (RZ 1 9 7 1 . 5 8 1 0 0 8 )

0 1 9 9 GFRSCHGORIN TYPE THEOREMS FOR PARTITIONED MATRICES LOEtaY, R. SIAM J . NUMER. ANAL. 7 . 1 2 5 - 8 ( 1 9 7 0 ) (MR 4 1 , 78321 (CR 1 1 , 2 0 . 1 6 0 ) (RZ 1 4 7 1 , 1BC47) ( Z f t L . 2 0 5 , 3 2 9 1

0 2 0 0 ON MATRICES WITH A DOUBLY STOCHASTIC PATTERN LONDON, 0 . J . MATH. ANAL. APPL. 3 4 . 6 4 8 - 5 2 ( 1 9 7 1 ) I MR 4 3 . 7 4 4 8 ) I Z B L . 2 2 4 . 1 5 0 2 2 )

0 2 0 1 ON FUNCTIONS OF PARTITIONED MATRICES M I T * VONOIAGONALIZABLE SUBMATRICES LGVASS-NAGY, V . • POKERS. 0 . L . LINEAR ALGEBRA AN/5 A » o L . 3 , 2 5 7 - 6 2 1 1 9 7 0 ) INR 4 2 , 3 1 0 4 ) |RZ 1 9 7 2 . 2 A 4 7 7 I I Z B L . 2 0 3 , 334

0202 ON THE COMMUMNG RECIPROCAL INVERSE OF SOME PARTITIONED MATRICES LOVASS-NAGV. V . * POWERS. 0 . I . LINEAR ALGEBRA AND APPL. 4 . 1 8 3 - 9 0 ( 1 9 7 1 1 (MR 4 4 , 1 6 7 5 1 (RZ 1 9 7 1 , 9 A 3 1 0 ) ( Z B L . 2 1 2 . 3 6 8 )

0 2 0 3 ON THF THEORY CF F I N I T E MATRICES l O Z I N S f c l l . S . N . OOKl . AKAD, NAUK SSSR 1 6 3 . 8 0 9 - 1 1 1 1 9 6 5 ) (MR 3 * , 2 1 6 5 ) U B L . 1 9 2 , 13?) (RUSSIAN)

0204 APPROXIMATION OF GIVEN fcANK I N MATRIX SPACE MAITRE, J . F . PROGRAMMATICKS ON MATrlEMATIQUES NUMERIOUES. BESANCON. 7 - 1 4 SEPT. 1 9 6 6 . EDITIONS DU CENTRE NATIONALS 06 LA RECHERCHE S C I E N T I F I Q U E . 1 0 5 - 1 0 1 1 9 6 8 ) IMR 3 7 , 6 0 2 1 ) (RZ 1 9 6 8 . 12A293 I ( Z B L . 2 0 7 , I * 4 . ) (FRENCH)

0705 EXTREMA FOR CHARACTERISTIC ROOTS CF PRODUCT MATRICES MAKFLAIfWFN T SOC. S C I . FENN. COMMENT. PHVS. MATH. 3 6 . 2 7 - 5 3 ( 1 9 7 0 ) (RZ 1 4 7 1 , 6 A 3 9 7 ) I Z B L . 1 4 6 , 5 5 )

16

0 2 0 * SOME INEO'J L i T I ' S FCR POSITIVE 0EF1NITF SYMMETRIC MATRICES MAN, F . T . S I A * J . A?PL. MATH 1 9 , fc79-81 U 9 7 G ) (MR 4 2 . 6 0 1 7 ) |RZ 1 9 7 1 . 8 A 2 9 3 I 1191. 2 1 5 , JTfc)

0?0V SOME HFSUITS ON UNITARY MATRIX G»CUPS MARCUS* M. » NEWMAN, M. LINEAR ALGEBRA AND APPL. 3 , 1 7 3 - 8 119701 (MR 4 1 , 8771 IRZ 1 9 7 2 , 3A333 I I Z R l . 2 0 5 , 4 9 )

G2O0 PARTITIONED HERMITIAN M 5 ' R I C E i MARCUS, M. • MATKINS, *. DURE MATH. J . 1 « , 2 3 7 - 4 9 U 9 T 1 » IMR 4 3 , 2 * 2 1 CRZ 1 9 7 2 , 1A6101 I Z B L . 2 2 1 , 1251

0 2 0 9 NESTED SOUNDS FOR THE S. :CTRAl RADIUS MARFK, I . • VARGA, R. S . NUMFR. MATH. 1 4 , 4 9 - 7 0 I 1 9 6 9 I (C« 1 1 , 1 9 , 4 4 3 1 (MR 4 1 , 2 4 2 8 1 IRZ 1 9 7 0 , A 8 7 M ) <ZBL. 2 2 1 , 477 1

021C P» OSCILLATORY MATRICES KARKHAM, T . L . l I K f f t k AiGfSSA ItiZ A P P l . 3 , 1 4 3 - 5 6 «19701 ink 4 0 , 5 3 9 2 1 I R i 1 9 7 2 , 3A34?) C 9 L . 2 0 6 , 401

0 2 1 1 A SEMIGROUP c TOTALLY NONNEGATIVE MATRICES MARKHAM, T . V . LINEAR ALGFRR* ANO APPL. 3 , 1 5 7 - 6 4 119701 CNR 4 1 , 5 3 9 3 ) IRZ 1 9 7 2 , 3A3*3» t Z B L . 2 0 6 , 401

0212 FACTORIZATIONS OF COMPLETELY PCSITIVE MATRICES NARKHAM, T. I . PROC. CAMBRIDGE P H I L . SOC. 6 9 , 5 3 - 0 119711 (MR 4 2 , 3 1 1 0 1

0 2 1 3 HANDBOOK SERIES LINEAR ALGEBRA. Tt-E OR ALGORITHM FOR MHO SYMMETRIC MATRICES MARGIN, R. S . • REINSCH, C . • MILKINSON, J . H . NUMFR. HATH. 1 6 , 0 5 - 9 2 1 1 9 7 0 ) ICR 1 2 , 2 1 , 4 1 0 1 (RZ 1 9 7 1 , 4 8 0 6 6 1 ( Z B l . 2 1 1 , 4 6 0 )

0 2 1 4 L I N ' S PENULTIMATE REMAINDERING UNDER TRANSLATION MAXFIcLO, J . E . • SANTOS, A . H . J . M T U R . S C I . AND MATH. 0 , 1 1 3 - 2 0 f l 9 6 0 ) IMR 3 8 , 1 0 2 7 ) I Z B L . 2 0 7 . 1 5 0 )

0 2 1 5 A NOTE ON THE PAPER OF JOHNSTON AHD SMITH CONCERNING BEST ISOLATED CER'CHGORIN OISKS MEDLEY, H . I . NUMER. MATH, l b , 4 3 5 - 4 1 1 1 9 7 0 ) IMS 4 4 , 2 3 2 9 ) IRZ 1 9 7 1 , S072O) ( Z B L . 1 9 8 . 7091

0 2 1 6 STABLE EVALUATION OF POLYNOMIALS MESZTFNVI, C . • H I T / G A L L . C . J . NES. NAT. BUR. STANDARDS SECT. S T I B , 1 1 - i T 1 1 9 6 7 ) ICR 9 , 1 3 , " 4 0 ) (MR 3 5 , 3 0 5 9 ) IRZ 1 9 6 8 , 1 8 7 6 4 ) ( / S I . 2 1 0 , 4 7 6 1

0 2 1 7 ALGORITHMS I N UN-NORMALIZED ARITHMETIC, POLYNOMIAL EVALUATION AND MATRIX COMPOSITION METROPOLIS. N . PROftRAGNATIONS ON HATr EMAT1QUES NIMERIQUES. BESANCON, 7 - 1 4 SEPT. 1 9 6 6 . FOITIONS OU CENTRE NATIONALE OE LA RECHERCHE S C I E M T I F I Q U E . 2 9 3 - 3 0 3 ( I 9 6 0 ) IRZ 1 9 6 8 , 1068491 ( Z B L . 2 0 7 , 1 5 6 )

0 2 1 8 f V c -?NARKS ON EPR MATRICES ANO GENERALIZED INVEPSSS "EVER, C. 0 . , J R . LINFAR ALGEBRA ANO AP?L. * , 2 T 5 - 8 1 1 9 7 0 ) (MR 4 2 , 1 3 3 ? ) (RZ 1 9 7 2 , 3 B 6 9 4 I (ZBL 2 0 3 , 3 3 2 )

0 2 1 9 GENERALIZED INVERSES OF BLOCK TRIANGULAR MATRICES METER, C . 0 . , JR. S U M J . APPL. MATH. 1 9 , 7 4 1 - 5 0 ( 1 9 7 0 1 (MR 4 2 , 7 6 7 6 ) 'RZ 1 9 7 1 , R 0 7 1 0 )

0 2 2 0 NOTF ON A LEAST SUUARES INVERSE FCR A MATRIX MEYER, C . 0 . » PAINTER, R. J . J . ASSOC. COMPIIT. MACH. 1 7 r 1 1 0 - 1 2 119701 IMR 4 3 , i » O I IRZ 1 9 7 0 , 8A305 ) I Z U . 2 0 6 , 3 2 0 )

0221 A NOTE ON THF MATRIX INVERSION BY THE PARTITIONING TECHNIQUE NIHALVF^V, I . STUOI * S C I . MATH. HUNGAR. 5 , 1 2 7 - 3 5 11970 ) IMR 4 2 , 5 4 3 5 ) (RZ 1 9 7 1 , 4 B 0 5 6 I

0 2 2 2 AN ALTERNATIVE REPRESENTATION OF THE GENERALIZED INVERSE OF PARTITIONED MATRICES MIHALVFFY, I . LINEAR ALGEBRA ANO APPL. * , 9 5 - 1 0 0 ( 1 9 7 1 ) IMR 4 3 , 6 2 2 5 ) (RZ 1 9 7 1 , 0A29O)

0 2 2 3 OJ THf MAXIMAL EIGENVECTOR OF A r>CSITIVE MATRIX M I R C . H . SIAM J . NUMER. AttAL. 7 , 4 2 4 - 7 11970 ) IMR 4 2 , 13?0> IRZ 1 9 7 1 , 4 A 3 3 7 I I Z 0 L . 2 1 9 , 1 0 6 )

0224 ON THE HONOTONICITV OF COMPLEX MATRICES MONO, 8 . SrAM REV. 1 2 , 5 7 7 - 9 119701 IMR 4 4 , 237 ) ( Z B L . 2 0 7 , 4 1 )

17

0225 Gl^RAt CONVERGENCE OF SFwT^N-GAUSS-SFIOEL 1ETHOOS »QRf , j . J . S IAH J . NUPFR. ANAL. 8 , V S - 3 6 ( 1 S 7 U I C " 1 3 . » 2 . 3 ? 8 t U 9 L . 1 9 « , ? 0 6 )

0226 ON THE STATIONARY VALUES OF A FOURTH-DEGREE POLYNOMIAL ON THE U N I T SPHERE MORRIS, b . I . S U M J . APPl . MATH 1 8 . 5 9 0 - 1 I 197C) (MR * 2 . 1 * 4 5 ) IRZ 1 9 7 1 , *P.865) I Z B l . 2 1 3 , 4 1 * 1

0 2 2 7 OPTIMIZATION 9Y LEAST SQUARES MORRISON, C . 0 . S U M J . NU*FR. ANAL. 5 , 8 3 - 8 I L 9 & 8 I <C4 1 0 , 1 7 , 5 4 3 1 ««Z 1 9 7 1 , SB1006) I Z B l . 1 6 5 . 5011

022B * 0 O E l FAMIL IES CF QUADRATIC FORMS MCRSE, M. PROC. NATL. ACAD. S C I . 6 8 , 9 1 * . 5 119711 (MR 4 4 , 16831 (RZ 1 9 7 1 , 1 1 A 3 7 I ) (RZ 1 9 7 2 , 1A625I

0 2 2 9 HOUSEHOLDER'S METHOO FOR COMPLEX MATRICES AND E l GENSt STEMS OF HERMITI AN MATRICES MucLLrS , 0 . J . NUHER. MAYH. 8 , 7 2 - 9 2 ( 1 9 6 6 1 ICR 7 , 1 0 , 5 1 1 1 I MR 3 3 , 8721 IRZ 1 9 6 6 , 1 0 8 7 0 0 ) « Z 8 l . 2 2 1 . « 8 0 l

0 2 3 0 SOLUTION OF THE MATRIX EQUATIONS AX • X8 • - O AND STX • XS • - Q MULLER, P . C . S U M J . APPL. HATH. 1 8 , 6 8 2 - 7 419701 Ul 1 9 7 1 , 1A300I I Z 8 L . 2 0 9 . 511

0 2 3 1 TRROR PROPAGATION IN THE SOLUTION OF TRIDIAGONAL LINEAR EQUATIONS NAGASAKA, H . INFORMATION PROCESSING I N JAPAN 5 , 3 8 - 4 * ( 1 9 6 5 1 (MR 1 9 , 1 1 0 1 1 ( Z R L . 222, 6 5 0 * 0 )

3 2 3 2 ITERATIVE PROCESSES AND GENERAL EU.ER PROCESSES NIETHAMMER. W. NATH. Z . 1 0 2 . 2 8 8 - 3 1 7 1 1 9 * 7 1 (MR 9 8 , 6 7 * 1 1 (RZ 1 9 6 8 , 9 8 7 * 0 1 ( Z 8 L . 2 7 5 . 6 5 0 0 8 ) (GERMAINI

0 2 3 3 OVER- AND UNOER-RElAXATION FOR SYSTEMS OF LINEAR EQUATIONS NIETHANNER. k . COMPUTING (ARCH. ELECTRON. RECHNEM 5 , 3 0 3 - 1 1 ( 1 * 7 0 1 (RZ 1 9 7 1 . 2 8 8 6 2 ) I 2 B L . 2 0 9 , 6 6 7 1 (GERMAN!

0 2 3 * BEST RATIONAL STARTING APPROXIMATIONS AND IMPROWEO NEMTON ITERATION FOR THE SQUARE ROOT NINOKiVA, I . NATH. COUP. 2 4 . 3 9 i - * 0 * 1 1 9 7 0 ) (MR * 2 , 8 6 8 5 ) f Z B L . 2 1 3 , 1 6 * 1

0 2 3 5 AN ITERATIVE METHOD FOR THE SOLUTION OF SYSTEMS OF EQUATIONS OCCCRSIO. M . R. CALCOLO * . 6 2 5 - 3 1 ( 1 9 6 7 ) (MR A 3 . 2 8 * 6 ) (RZ 1 9 6 8 . 1 0 8 8 * 3 ) 11 TALI AN)

0 2 3 6 ON STURH SEOUENCES FOR TRIDIAGONAL MATRICES ORTEGA, J . M. J . ASSOC. COMPUT. NACH. 7 . 2 6 0 - 3 ( I 9 6 0 ) (CR 2 . 1 2 8 9 ) (MR 2 2 , 6 0 7 3 ) ( Z B L . 2 0 8 . 1 8 1 )

0 2 3 7 A NEM METHOO FOR THE SOLUTION OF THE EIGENVALUE PROBLEM OSBORNE. M. R. COMPUT. J . 7 . 2 2 8 - 3 2 1 1 9 6 6 1 (CR 6 . 7 9 2 T ) IMR 3 1 , 6 3 6 5 ) IRZ 1 9 6 5 . 7 8 5 * 9 ) I Z B l . 2 0 7 , * T 2 I

0 2 3 8 A THEOREM ON CLUSTERS OF ROOTS OF POLYNOMIAL EQUATIONS OSTROMSKI. A . M. S U M J . NUHER. ANAL. 7 . 5 6 7 - 7 0 ( 1 9 7 0 ) (CR 1 2 . 2 1 . 7 4 5 ) (MR * 2 « 8 6 8 7 ) ( R i 1 9 7 1 , 8 8 7 2 9 ) I Z B L . 2 1 6 . * 8 7 )

0 2 3 9 AN EIGENVALUE ALGORITHM BASEO ON NORM-REOUCING TRANSFORMATIONS PAArOEfcOOPER, M. H . C . T H E S I S . E INOIOVEN. 145 PP . ( 1 9 6 9 ) (CR 1 2 . 2 0 . 6 8 1 ) (MR 4 3 . 1 4 0 3 ) I Z B L . 2 0 7 , 1 5 6 )

0 2 4 0 AN EIGENVALUE ALGORITHM FOR S K E N - S Y M M E T R I C MATRICES PAAADFKOOPER. M. H. C . NUMER. MATH. 1 7 , 1 8 9 - 2 0 2 1 1 9 7 1 ) (CR 1 3 . 2 2 . 8 2 3 ) IRZ 1 9 7 2 , 1 8 1 0 4 8 ) I Z B L . ??t, 6 5 0 3 1 )

0 2 4 1 ANALYSIS OF ALGORITHMS FOR REFLECTIONS IN BISECTORS PARlETT, 8 . N . S U M REV. 1 3 . 1 9 7 - 2 0 8 1 1 9 7 1 ) (CR 13 . 2 2 . 6 6 5 ) ( Z B L . 2 1 7 . 5 2 6 1

0 2 4 2 A NEM METHOD FOR M I N I M I Z I N G A SUN OF SQUARES WITHOUT CALCULATING GRADIENTS PFCKHAH, G . CCMPi;f. J . 1 3 . 4 1 8 - 2 0 ( 1 9 7 0 1 ( Z B L . 2 2 " . 6 5 0 3 7 )

0 2 4 3 HANDBOOK SERIES LINFAR ALGEBRA. EIGENVECTORS OF REAL AND COMPLEX MATRICES BY LR AND OR TRI ANGULAR IZAT IONS PETERS. G . • MI I .K1NS0N. J . H. NUMFR. MATH. 1 6 , 1 8 1 - 2 0 4 ( 1 9 7 0 1 (CR 1 2 . 2 1 . 4 1 4 ) IRZ 1971 5 B 9 8 8 ) I Z R l . 2 0 8 , 1 8 3 )

18

0 ? * * AX 0 LAMBDA BX AND THE GFN'AALIZEC EIGFNPROBLEM PETERS. G . • ttlLMNSON, J . » . SIA.« J . NUMFR. ANAL. 7 , 4 7 9 - 4 9 2 1 1 4 7 0 ) ICR 1 2 . 2 l ,«S041 (MR 4 ) , 2 8 4 3 ) IRZ 1 9 7 1 . 8 9 7 ? l l

0 2 4 5 INVARIANTS OF A PAIR Of REAL OUAORATIC F O R M PEVZNFR, C . L . I Z V . VTSS. UCE8* . ZAVFO. MATFMATIKA. 1 1 9 7 0 ) . NO. 7 , 8 3 - 9 1 1 1 9 7 0 1 (MR 4 4 , 2 3 2 1 IRZ 1 9 7 1 , 1A313) (RUSSIAN!

0 2 4 6 GENERALIZED LOGARITHMIC ERROR A10 MFWTOH'S METHOD FOR THE NTH ROOT P H I L L I P S , D . L . MATH. 1 0 N P . 2 4 , 3 8 3 - 9 1 1 9 7 0 ) ! • « 4 4 , 1 2 1 2 ) I Z B L . 2 2 2 , 6 5 0 6 3 )

0 2 4 7 INEOUALIT IFS FOR PARTITIONED POSIT IVE SEMIDEFINITE MATRICES DE P I L L I S , J . LINEAR ALGEBRA ANO / P P L . 4 , 7 9 - 9 4 1 1 9 7 1 ) IMR 4 1 , 6 2 2 7 )

0 2 4 8 SPLITT ING CERTAIN EIGENVALUE - EIGENVECTOR MOSLEMS PONSTFIN, J . NUNF.R. MATH. 8 . 4 1 2 - 2 1 1 ) 9 6 6 ) ICR 8 * l l t S f ) INR 3 3 , 68211 1*2 1 9 6 7 , 4 6 6 0 4 1 I Z B L . 2 2 8 , 6 5 J 3 0 )

0 2 4 9 ON GENERALIZED JDEMPOTFNT MATRICES RAHAKRISHNAM. A . • VJSU0FVAN. R. J . MATH. ANAL. APPL. * 2 . 4 1 4 - 2 3 1 1 9 7 0 ) IMR 4 2 . 1 8 4 ) 1 IRZ 1 9 7 1 , 5 A 3 9 5 ) I Z M . . 2 0 6 . 4 1 )

0 2 9 0 BOMNOS FOR HORNER SUMS REINER, M . S U M J . NUNER. A N A . . 9 , « 6 1 - 9 ( 1 9 * * ) ICR 1 0 , 1 7 , 5 1 3 ) I MR 38» 4 0 0 4 ) <RZ 1 9 7 1 , 2 8 8 * 0 1 I Z B L . 2 0 5 , 1 7 2 )

0 2 5 1 INVESTIGATIONS OF I M GROHTH OF SECTIONS OF P T V E * SERIES H l T » APPLICATIONS TO THE HORNER SCHEME REIRCR, M. NUMFR. MATH. 1 7 , 1 7 2 - 8 1 1 9 7 1 ! ICR 1 » , 2 2 . 8 1 5 ) I MR 4 3 . 8 2 1 2 1 IRZ 1 9 7 2 . B 1 0 6 9 ) I Z B L . 2 2 5 , 6 9 C 8 8 ) IGERMANI

0 2 5 2 ON M-FUNCTIONS ANO THEIR APPLICATION TO NONLINEAR GAUSS-SEIOEL ITERATIONS AND TO NETWORK FLOMS RHEINAOLDT. M. C. J . MATH. ANAL. A P P t . 3 2 , 2 7 4 - 3 0 7 1 1 * 7 0 1 IRZ 1 9 7 1 , 4 8 8 7 2 ) I Z B L . 2 0 6 . 4 6 5 )

0 2 5 1 EXPERIMENTS ON CRAM-SCHMIDT ORTHOCONALIZATION R I C E * J . R . MATH. CORP. 2 0 . 3 2 5 - 8 1 1 9 6 6 ) ICR 8 . 1 1 . 2 5 5 ' I Z B L . 2 2 8 . 6 5 0 9 4 )

0 2 5 4 N-MINORAMTS ROBERT, F . PROGRAMNATIOftS ON MAf-.tENAViQUES NUHERIQUES. BESANCON, 7 - 1 4 SEFT. 1 9 * 6 . EOIT IOKS CFNTAE NAT. RECHERCHE S C I . P A R I S . 4 9 - 5 6 1 1 9 6 8 ) INR 3 8 , 1 *171 < R / 1 9 6 8 , 12A303 I I Z B A . 2 0 8 . 3 9 * 1 IFRENCH)

02'* A DISTANCE BETMEEN I M O MATRICES A AN© r . A SIMPLE FUNCTION OF THE CONDITION OF A l - l l b ROBERT, F . PROCRAMMATIONS ON NAThENATIQUES NUNERIQUES. BESANCON. 7 - 1 4 SEPf . 1 9 6 * . FOIT IONS OU C E N T A ? NATIONALS OE LA RECHERCHE S C I E N T I F I Q U E . 1 1 9 - 2 2 1 1 9 * 8 ) ; M 3 7 . 6 0 2 3 ) I Z B A . 2 0 8 . 3 9 4 ) IFRENCH)

0 2 5 * ON THE NOTION OF WEAK CONTRACTION RELATIVE TO A VECTORIAL NORM ROBERT, F . C . R . ACAO. S C I . PARIS A 2 7 1 , 9 6 - 9 1 1 9 7 0 ) I MR 4 2 , 2 * 4 7 ) I Z B L . 2 0 3 , 4 7 8 ) {FRENCH)

0 2 5 7 SERIES-PARALLEL .TFAAT1VE METHODS ROBERT. F . C . R . ACAO. S C I . PARIS A 2 M , 8 4 7 - 5 0 « 1 4 7 0 ) INR 4 2 , 39721 I R Z 1 9 7 1 . 4 B 8 4 8 I IFRENCHI

0 2 5 8 AN ALGORITHM FOR SOLVING A SPECIAL CLASS OF TR101 AGONAL SYSTEMS OF LINEAR EQUATIONS ROSE. 0 . J . CONHUN. ACM 1 2 , 2 3 4 - * 1 1 9 * 9 1 ICR I I . 1 8 , 7 0 2 1 (MR 4 3 . 5 7 0 * 1

0 2 5 4 ON THE DETERMINATION OF THE INVERSE OF A VANDERMONDE MATRIX ROV. 8 . C . » CHOUOHURV, A . E . INTERNAT. J . CONTROL 1 2 . 5 2 5 - 7 « i 9 7 0 ) INR 4 2 , 6 0 0 7 1 IRC 1 9 7 1 , 3 A 2 9 9 )

02AO PERTURBATION BOUNDS FOR NeANi OF EfCF**v^.«CS ANO INVARIANT SUBSPACCS RIIHE, A . N O R M S * . T IOSKR. INF0RMATI0NS8FHAROLING I 8 I T I 1 0 . 3 4 3 - 9 4 ( 1 8 7 0 ) ICR 1 2 . 2 1 . 9 0 7 ) IMP 4 2 , 8 * 7 8 ) I R * 1 9 7 1 , 4 8 8 * 1 ) ( Z B L . 2 0 8 * 1831

0 2 * 1 SQUARE MATRICES WITH VECTORIAL BASES SAMUEL. I . C . R. ACAO. S C I . P A R I S , SER. A - B . 2 7 1 * 9 0 9 - 7 ' 1 9 7 0 1 IRZ 1 9 7 1 . 4 A 3 4 9 I I Z B L . 2 2 8 , 1 9 0 0 2 ) (FRENCH)

0 2 * 2 DIRECT COMPUTATION OF THE COMPONENTS OF PROPER VECTORS OF A SYMMETRIC MATRIX M. CONFUTATION BY RECURRENCE OF THE ELEMENTS OF POSIT IVE POWERS OF M SAMUEL. I . C . R. ACAO. S C I . PARIS SER. A . 2 7 1 , 4 0 0 - 2 ( 1 9 7 0 1 INR 4 2 * 3 9 9 9 ) IRZ 1 9 7 1 , 7 A 4 2 5 ) (FRENCH)

19

tf2*l K K U I S ON INVERSE EIGEMVALUC PROBLEMS S U K U . S. COMPUTING IARCH. ElEATftO*. RtiMNEkl 4 . 207-15 I 19*4) |R< 1 4 7 * . JB777I ( W * C . 10251 I Z B t . 204, 4*7 ) (GERMANI

026* AM ESTIMATE Of THE MONTAIVIAL EIGENVALUES OF STOCHASTIC MATRICES SCHAEFER, H. M. NUNFR. HATH. 15 , 21'*-21 11970) ICR 1 2 . 2 1 . 0 * 4 ) I I M 4 9 . 1*0*1 IRZ 1 9 7 1 , 1BSS0I (ZBL. 206. 4 * 4 ) IGERMAN)

0269 ON THE CHARACTEtlSTIC ROOTS OF RE* . MATRICES SCHAEFER. H. H. PROC. ARE*. PATH. SOC. 28. 91-2 11*711 IZBL. 215 . M l

02*6 HOUND NCMWS SCHNEIDER. H. LINEAR ALGEBRA AMO APPL., VOL. 9 . NO. 1 . 11-21 119701 ««Z 1972. 2A47BI IZBL. 192. 9711

02*7 CROSS-POSITIVE MATRICES SCHNEIDER. H. • VinyaSESA*. K. SIAP J . ma**. ANAL. 7 . 504-19 119701 INR 4 9 . 3ZS9I 1*1 1 9 7 1 , BB719I

02*0 THE METHODS CF CONJUGATE GRADIENTS IN LEAST-SOUARcS FITTING SCMMUZ, H. R. Z . VERHESSUNGSuESEN 9 5 , IS0 -40 (19701 IZBL. 2 1 5 . 55*1 fGERMAN!

02*9 ORTHOGOMAllZATION METHOOS SCHkEINLE*. * . C. • MIGNER. E. P. J . MATHEMATICAL PHVS. 1 1 . 1*99-4 119701 IMR 4 1 , * « * 2 I IZOL. 223 , 15O10)

0270 ASYMPTOTIC INCLUSIONS BV MEANS OF THE NEV/TON PROCESS SCHkETLICK. P. Z . ANCFM. RATH. RJCH. 5 0 , 4 2 * - 7 (19701 INK 4 2 , 13901 IRZ 1970, 120B72I IZBL. 2 M . 4 0 t l I GERMAN I

0271 SOLUTION OF A SVSTEM OF LINEAR E0U*TtON$ »T THE RETNMS OF SUCCESSIVE BASES SCOUARHtC. C . REV. CETHEOFC * . 79-00 119*91 1MB 4 2 , 5 * 5 * I IRZ 1970, 1IB7541 {RUSSIAN!

0272 ADAPTIVE RFTHOOS OF SEPARATING REAL ROCiS OF ALGEBRAIC MB) TAANSCCNDtNTAl EQUATIONS SElU0*KO. 6 . A. Z . VTCISL. RAT. I MAT. F I 2 . 10 . I C l » - 2 i 119701 IRZ 1970, 12B040I IZBL. 2 1 5 , 2741 IRUSSIAN!

0?79 MODIFICATION OF NESBET'S ALGORITHM FOR THE ITERATIVE EVALUATION OF EIGENVALUES AND EIGENVECTORS OF LANCE MATRICES SHAVITT. I . J . COMPUTATIONAL RMVS. * , 124-JO 119781 «NR 4 2 , 0*791 1*2 1 9 7 1 , 4BB50)

0274 LINEAR TRANSFORMATIONS UNDER hrtlCM THE OOUBLT STOCHASTIC MATRICES ARC INVARIANT SINKHORN, R. PPOC. ANFR. MATH. SOC. 2 9 , 219-21 I 1 9 7 t l <*Z 1972, 444211 I N I . 7 1 1 . 99*1

0275 ON ACCELERATING HE CONVERGENCE OF COMPLEX ITERATIVE PROCESSES SISLER. M. A P I . MAT. 2 5 , 1 5 * - 7 » 119701 (NR 42, 70591 IRZ I 9 7 | , 100441 (COL. 7 0 * , 4*21 t GERMAN1

077* CONDITION. FOUHIBRATION, AND PIVOTING IN LINEAR ALGEBRAIC SYSTEMS VAN OCR U U I S . A. NUNER. MATH. 15 . 7 4 - 0 * 119701 INR 4 2 , 70541 (RZ 1970, 12BB62) I Z B l . 102* 4901

0277 UPP«R BOUNOS FOR ROOTS OF POLTNOMlALS VAN OCR S t U l S , A. NUNfR. MATH. 15 , 250-*? 119701 ICA 12 , 21 ,057) IMR 4 2 , 54411 IR2 1970, I2B070I

027B INEQUALITIES RELATED TO LlOSft l l 'S SP1LEV, M, F . PROC. AMER. RATH. SOC. 19 , 1029-94 119*01 INR 9B, 71541 IRZ 1971 , 12*4591 K B L . 1 *9 , 9511

0279 ERRfR BOUNOS FOP ZEROS OF A POLYNOMIAL BASED UPON GERSCHGORIN'S THEOREM SMITH, ft. T. J . ASSOC. CONPUT. NACH. 17 , AAt-74 119701 IRR 4 9 , 5719) IRZ 1971 , 7B9I7) IZBL. 719, 2791

02*0 AREA OF CONVEI HULL OF MATRIX EIGENVALUES SMITH, » . A. LINEAR ALGEBRA ANO APPl. 4 , 77 -0 11*71) INR 4 9 , 4B9BI IRZ 1 9 7 1 , I0A17BI

02PI ON SAMELSON'S ITERATION FOR FACTORING POLTNOMlALS STENART. G . h. NUMSR. NATH. 1 9 , 1 0 * - I 4 119701 INR 4 9 , 14141 IRZ 1 9 7 1 , 40S74I

20

0282 ERROR ANALYSIS OF THE ALGORITHM FOR SHIFTING THE ZE*OS OF A POLYNOMIAL BY SYNTHETIC DIVISION StEWART, G. k. MATH. CONP. 25. 135-40 I I 9 7 U (ZBL. 219, 4391

0283 A RECURSIVE RELATION FOR ThE DETERMINANT OF A PENTAOIAGONAL NATRII SHEET. R. A. CO***. ACN 2 . 3 )0 -? 119'91 ICR 10 . 18.042) INR 4 3 . 57081 IRZ 19T0. l A M T t IZ fc l . 182. 489)

0 2 0 * PROJECTION METHOD FOR SOLVING A SINGULAR SYSTEM OF LINEAR EQUATIONS AND ITS APPLICATION TAKA8F. K. NUMER. NATH. 17 , 2 0 3 - 1 * (19491 <CR 13. 22,8241 CRZ 19T2. 1B1033) IZBL. 228, 450321

0285 ON STABLE MATRICES TAUSSKY. 0 . PROCLAMATIONS ON RATHENATIQUES NUNERIQUES. 8ESANC0N. 7*14 SEPT. 1 9 * 6 . EDITIONS OU CENTRE NATtONALE DE LA RECHERCHE SCIENTIF IQUE. T5--88 119481 INR 3 7 , 62981 IZ8L. 208 . 3991

• 2 8 * A REMARK CONCERNING THE SIMILARITY OF A FINITE NATRIX A AND A* TAUSSKY, 0 . NAT*. 2 . 117, 1899-90 I 1970) fNR 4?. <*68ll (RZ 1 9 7 1 . SA393I IZSL. 194, 971

• 2 8 7 SORE AEXA4KS ON THE MATRIX OPERATOt AO A TAUSSKY. 0 . STUOIC'. IN PURE MATHEMATICS ! L . NIASKY, E O . I . ACAOEHIC PRESS. 235*7 119711 I N * 4 3 . 2401

0288 ON THE PRODUCT FORM OF INVERSES OF SPARSE MATRICES TEWARSON. R. P. SUM REV. 8 . 336-4? 1196*1 ICR 9 , 14 ,30*1 INR 3 4 , 8*311 IZBL. 2 2 2 , 65050)

0289 SOLUTION OF A SYSTEM OF SIMULTANEOUS LINEAR EQUATIONS MITH A SPARSE COEFFICIENT NATRIX BY ELIMINATION METHODS TENARSON. R. P. NOROISK. TIOSKR. INFORMATIONS. SEMKOLING I B I T I 7 , 226-39 119*71 ICR 9 . 13,8631 IMR 3 6 . 23081 IZBL. 222 . 650511

8MB) A LEAST SQUARES ITERATIVE METHOD FOR SINGUL'% EQUATIONS TEWARSON. R. R. COHPUT. J . 1 2 , 386-92 119*91 ICR 1 3 , 22 ,66*1 I N * 4 1 , 1203) IRZ 1970* 5*6971 IZBL. 185. 4071

9291 CONFUTATIONS KITH SPARSE MATRICES TEWAR SON. R. P. SIAN REV. 12 . S27-*3 (19701 tftZ 1971 , 6A404) IZBL. 2 0 9 , 4 *61

0292 REDUCING THE RANK OF IA - LAMBOA Bl THOMPSON* G. I . « NEIL. R. I . PHOC. ANER. PATH. SOC. 2 * . 548-54 119701 t*R 4 2 , 1324) IRZ 1971. 12A4521 IZBL. 2 2 1 . 119)

029) GENERAllZATICNS Of A HELL-KNOHN RESULT IN NATRIX THEORY THOMPSON, R. C. PROC. GLASGOW NATH. ASSOC. 7* 29 -31 119*51 INR 3 1 , 3634) IRZ 1 9 * * , 5A145I I Z B l . 2 1 * . * 1 )

8294 PRINCIPAL SUBNATRiCES I I I , LINEAR INEQUALITIES THOMPSON. R. C. J . RESEARCH NATL. S g * . SfAMOAROS- B. HATH. S C I . 7 2 8 , 7-2? 119681 INR 38 , 5814) IRZ 1969, 3A315I IZBL. 224 , 15013)

0795 PRINCIPAL SUOMTRICES. V, SORE RESULTS CONCERNING PRINCIPAL SU8MATRICES OF ARBITRARY MATRICES THOMPSON, R. C. J . RES. NAT. BUR. STAAOAROS. 8 . NATH. S C I . Y2». 115-25 U 9 6 « ) INR 3 9 , 55971 IRZ 19*9 , 38*821 IZBL. 226 , 150151

0296 PRINCIAL SUSNATRICES. V i l . FURTHER RESULTS CONCERNING MATRICES WITH EQUAL PRINCIPAL MINORS THOMPSON, R. C. J . RES. NAT. BUR, STANDARDS SECT. K, 728 , 249-52 119681 INR 3 9 , 5498) i»l 1968, 11A3I69 IZBL. 2 2 4 , 150171

0297 PRINCIPAL SUBNATRICES I V . ON THE INDEPENDENCE OF THE EIGENVALUES OF DIFFERENT PRINCIPAL SUBNATRICES THOMPSON. R. C. LINEAR ALGEBRA AWO APPL. 2 , 335-74 119*9) IRK 3 9 , L90T) IRZ 1970* 2A329) I Z t l . 224, 15014)

• 2 9 8 PRINCIPAL WifW TRICES V I . CASES OF EQUALITY IN CERTAIN LINEAR INEQUALITIES THOMPSON, R. C. LINEAR ALGEBRA AND APPL. Z, 375-9 119691 INR 3 9 , 6 9 M ) IRZ 1970, 4A394I I Z m . 21*, 1501*1

0299 Oft PEARL'S PAPER A DECOMPOSITION THEOREM FOR MATRICES THOMPSON* R. C . CANAO. NATH. BULL. 12* 805-8 119*9) IMR 4 2 , '.841) IRZ 1970, 7A3271 IZBL. 203 . 3331

0380 THE L PROPERTY FOR SINGULAR VALUES THOMPSON, R. C. LHEAR ALGEBRA ANO APPL. 3 , 179-83 1197»\ INR s t , . 8711 IRZ 1972, 1A.140I I Z B l . 198, 531

21

0 3 0 1 P R ; N C | P A L SUMATK1CES 11 • THE UPPE« «NO LOME* QUAD*AT IC INEQUALIT IES THOMPSON, a . C . • M C E N T E G G E R T . P . L I N . ALG. APPL. I . 2 1 1 - 4 3 1 1 4 6 8 1 tNA . « . 5 8 1 3 1 . « £ 1 4 6 4 , M M O I Z T H . ? ? * , 1->0I?I

0*02 ON CONDITION NUMBER.. Toon» j . PROGRANMATIONS ON MATHENATI9UFS fcUHEAKMES. SESANCO*. 7 - 1 4 SE»T. 1 4 6 6 . EDIT IONS PU CEKTftE r»*TIO"ALe OE LA RECHERCHE SC IEMTIF I QUE. 1 4 I - S 4 U V . 8 ) IRZ 1 4 6 8 . 12BB1PI 1 7 * 1 . ? 0 7 , ; S S |

0 1 0 1 THE PROBLEM _F NORMALIZING A GIVEN SYMMETRIC MATRIX FOR THE APPLICATION OF THE NETHOO O JACOB! OR OF GIVENS FOR F I N D I N G PROPER V4LUES AM) VECTORS TOOORt L . STUO. CEFC. I - A T . ACAO. RSR 1 - I , 4 1 - 6 1 1 9 6 7 ) (MR # 2 , 4 0 0 0 1 I R Z 1 9 * 7 , 106 741) (POMAWAN)

0 3 0 4 ON THE S.PARATI tM OF ALL ROCTS OF 4 POLYNOMIAL BY DETERMINING THE NURSE* OF ROOTS I * THE UNIT CfRCLE T C R I I , T . * YOSHIOXA, T . INFORMT'CM PROCESSING I N JAPAN 7 . 4 4 - 5 3 114621 (MR 3 8 , 2«S4*1 I ZBL. 2 2 2 , 6 5 0 6 5 )

0 1 0 5 THE CALCULATION OF ZEROS OF POLYNOMIALS A W ANALYTIC FUNCTIONS TSAuS, J . f . PROC. SVHP. APPL. M A T H . , VCL. X « X , AHER. HATH. S O r . . P P . 1 1 8 - 5 2 ( 1 9 4 6 1 IMR I B . 2 2 8 6 1 I Z B L . 2 2 2 , 6 * C 6 7 I

0 3 0 6 A NOTE ON EIGENVALUES OF NORMAL TRANSFORMATIONS TUP.NER, R . E . L . PROC. AMER. MATH. SOC. 2 0 , 3 0 - 4 < ! 4 6 4 l IRZ 1 4 7 1 , 4 A 1 1 1 )

0 3 0 7 AN INVERSION METHOD FOR 8AN0 MATRICES UPPULURI, V. R. R . • CARPENTER, J . A . J . MATH. ANAL. A P P t . 3 1 , 5 5 4 - 8 ( 1 9 7 0 1 (MR 4 2 , 3 0 4 6 ) € * Z 1 4 7 1 , 3 A 3 0 0 I I Z B l . 2 0 5 , 461

0 3 0 8 EIGENVALUES CF C I R C U L A R MATRICES VARGA, R. S . PACIFIC J . MATH. 4 , 1 5 1 - 6 0 119541 (MR I S , 7451

0 3 0 4 A COMPARISON OF THE SUCCESSIVE CVERRELAXATION M E T H O O AND S E M - I T E R A T I V i RETHOOS USING CHEBVSMEV POLYNOMIALS VARGA, R. S. J . SOC. INOUST. APPL. MATH. 5 , 3 4 - 4 6 1 1 4 5 7 ) |RR 1 4 , 7 7 2 ) i 2 3 L . SO* 1071

0 3 1 0 0R0ERINGS OF THE SUCCESSIVE OVERRELAXATION SCHEME VARGA, A . S. PACIF IC J . MATH. 4 . 9 2 5 - 3 9 ( 1 4 5 9 1 (MR 2 2 , 4 1 1 3 ) ( Z S L , 4 2 , 1 2 8 1

0 3 1 1 P-CYCLIC MATRICES* A GENERALIZATION OF THE Y O U N G - F R A N X E L <JCCESSIVE O V E R R E L A X A T I U SCHEME VARGA, « . S . PACIF IC J . HATH. 4 , 6 1 7 - 2 8 I I 9 5 4 I (MR 2 4 , 6 0 * 5 ) ( Z B L . 8 8 , 4 4 )

0 * 1 2 OVER-RELAXATION APPLIED 3 ALTERNATING DIRECTION METHODS VARGA, R. S . INFORMATION PROCESSING. PROC. I C I P . UNESCO. PARIS 8 5 - 4 1 1 4 6 0 ) (CR 3 , 2 * 9 5 ; INR 2 6 , 5 7 1 4 1 ( Z B L . 1 1 5 , 3 4 2 )

0 3 1 3 FACTORIZATION AND NORMALIZED ITERATIVE METHODS VARGA, R. S . BOUNDARY PROBLEMS I N DIFFERENTIAL EQUATIONS, P P . 1 2 1 - 4 2 . U N I V . OF WISC. PRESS, NAOISON, M I S C . 1 1 4 6 0 1 (MR 2 2 , 1 2 7 0 4 ) ( Z S L . 1 0 0 , 1 2 5 )

0 1 1 4 ON VARIANTS OF SUCCESSIVE OVERRELAXATION AMD ALTERNATINC 01RECTIOR. I M P L I C I T RETHODS VARGA, R. S . INFORM. PROCESS. 1 4 * 2 . AMSTERDAM, NO. HOLLAND P U 0 L . C C . 2 0 3 - * ( 1 4 6 3 1 (CR 6 , 7 * 6 3 i I Z B ' . 1 5 6 , 1 6 7 )

0 3 1 5 OH SMALLEST ISOLATED (CRSCHCDRIK O l l - S FOR EIGENVALUES VARGA, R. S . NUMER. MATH. 6 , 3 6 6 - 7 6 ( 1 4 6 4 1 (CR 6 . 8 5 4 5 ) (MR 3 . , 4 3 7 4 ) I R Z 1 4 * 5 , 4 8 5 1 2 ) I Z B L . 1 3 1 , 142>

0 3 1 6 ON A DISCRETE MAXIMUM PRINCIPLE VARGA. R. S . S1AM J . NUHFR. ANAL. 3 , 1 5 5 - 4 ( 1 4 6 6 ) (MR 3 4 * 2 2 1 4 ) I Z B L . 1 4 3 * 1 7 4 )

0 3 1 7 NCKNEv-ATIVELV POSED PROBLEMS AND CORKETEIY KONOTONIC FUNCTIONS VARGA* R. S . LINEAR ALGEBRA AND A P P l . 1 , 3 2 4 - 4 7 119681 (MR 3 8 . 4 0 4 5 ) f * I 1 4 6 * * 4 8 5 8 0 ) ( Z B l . 1 6 2 , 4 6 8 )

0 3 1 8 MINIMAL GERSCHGORfN SETS FOR PARTITIONED MATRICES VARGA, 1 . S .

' S U M J . NUMER. ANAL. 7 , 4 9 3 - 5 0 7 ( 1 9 7 0 1 ( M l 4 4 , 1 2 9 9 ) IRZ 1 9 7 1 , BR723I (ZBL. ? : i , 1 2 2 )

0 9 1 4 ON ITERATIVE METHODS FOR SuLVING NONLINEAR SYSTEMS VARJUHIN, V . I . • KAS'JANJUK. S . A. 1 . VYCISL. MAT. 1 NAT. F t Z . ( 0 , 1 5 3 3 - 6 1 1 9 7 0 ) (MR 4 4 * 2 3 3 4 ) ( R { 1 9 7 1 , 4Sft 'S> (RUSSIAN)

22

0 ) 2 4 ON THE CONVERGENCE CF tuC CRTMOCTKAL POMJR NETHOO VflEvOOIN. « . v . Z . V Y C I S L . HAT. 1 H * » . H Z . 2 . 5 2 9 - 1 6 1 1 9 * 2 1 (Nit 2 8 , 40001 « U 1 9 * * . * 8 6 1 9 v IZBL- 2 0 8 . 4 0 2 1 (RUSSIAK)

0 ) 2 1 ON A BLOC* VARIAT.T Of THE METHOD UF REFLECTION FOR THE SOLUTION OF LINEAR ALGEBRAIC SYSTEMS VCEVOOlN. V . V . • RUONEVA, T . L . 2 . V T C I S L . HAT. I HAT. F i t . 1 0 . 1 2 8 1 - S « 1 9 T 0 I INA 4 3 , 8 2 3 2 1 IRUSSIAMI

0 ) 2 2 ON THE SOLUTION OF SVSTEHS H lTH SEVERAL RIGHT-HANO SICES VCEVOOlN* V . V . • VOLOVIC. V . H . Z . W C I S L . HAT. I HAT. F i Z . I C , 1 0 2 5 - 7 119701 IRZ 1 9 7 0 , 12BS63) t Z B L . 2 1 7 . ? 1 4 l IRUSS1ANI

0 9 2 3 T-ALGOAITHM FOR TRIDIAGONAL IZAT IDA MALTHANN. M. . • LANBERT, R. J . J . SOC. INOUST. APPL. HATH. 1 3 . 1 0 6 9 - 7 8 ( 1 9 * 5 ) (NR 3 ? , 6 6 6 1 1 (RZ 1 9 6 6 . I O B 7 0 3 I ( Z S L . 2 1 9 . 4 3 9 1

0 3 ? * A NCTE C - THE OBLIQUE MATRIX PSEUODINVERSE • A * 0 . J. F . • SCULLION. T. L . • LEWI!», T . O. S I AH j . A P P l . H A l : i . 2 0 . 1 7 3 - 5 1 1 9 7 1 ) .RZ 1 5 7 1 . 11A367) I Z B L . 2 1 B . 1 1 0 1

0 3 2 5 Ci THE SINGULAR VALUES OF A PROOUCT OF MATRICES • •ATKINS. 4 . J . RES. N A T L . BUR. STANOAROS. SECT. B. 7 * 8 . 3 1 1 - 7 1 1 9 7 0 ) INR 4 3 . 2 3 5 1

0 3 2 6 EXTREME HO I NTS OF SVNNETRIC STOCHAST'.C MATRICES uC|kC| KM •

SANXKTA ^ 3 1 . * 4 8 1 - 2 1 1 9 6 9 ) IRZ 1 9 7 1 . 1A305I I Z B L . 2 2 1 . 1 2 5 )

0 3 2 7 OUAS'.-NORNAL MATRICES ANO T J O U C T S MIF:/UNN. N. t . J . AUSTRAL. H A i f . SOC. 1 1 . < 2 9 - 3 5 1 1 9 7 0 ) INK 4 2 T 1B42) IRZ 1 9 f l . • .A342)

032B THE riASIC FORMS OF ERROR ANALYSIS OF MATRIX PROCESSES WILKINSON. J . H . HROGRAHNATIONS ON HATHENATIOUCS NUNERIOUES. 8ESANC0N, 7 - 1 4 SEHT. 1 9 6 6 . COITIONS OU CENTRE NATIONALS OE LA RECHERCHE SCIENT1F IQ\«E . I ^ V - 3 3 1 1 9 6 8 ) ICR 1 1 * 1 8 , 9 0 2 ) (MR 3 7 , 7 0 7 5 1 I Z H L . 2 0 8 , 3 9 8 )

0 3 2 9 SORE REMARKS ON A CLASS OF HATRIX INEQUALITIES tfILLCANSON. S . G . HNOC. ANER. HATH. SOC. 1 9 , E 7 3 - 7 1 1 9 * 8 ) IHR 3 7 , 2 2 9 ) IR» 1 9 7 1 , 9 A 3 0 6 )

0 3 3 0 A USEFUL GENERALIZATION OF THE P I O ) MATRIX CONCERT H l L L S O k . A . A . , J R . NUHER. HATH. 1 7 , 6 2 - 7 0 ( 1 9 7 1 ) IRZ 1 9 7 1 , 9 8 7 2 8 1 I Z B L . 1 9 9 , 4 9 7 )

0 3 3 1 OESWSTIVE-FREE ITERATION PROCESSES N i M H , J. S U M J . NUNER. ANAL. 7 . 3 2 9 - 3 4 1 1 5 7 0 ) (CR 1 2 , 2 1 , 4 0 6 ) IHR 4 ) , ' • 415 ) IRZ 1 9 7 1 , 4 M 0 4 I I Z J J L . 2 1 3 , 4 1 8 1

0 32 SIMULTANEOUS DiAGONAL!ZAT10* OF SYMMETRIC BILINEAR FORHS M0NENW4G«R, H . J . J . RATH. N<FCH. 1 * . 6 1 7 - 2 2 1 1 9 6 6 ) I N * 3 5 , 2 1 0 ) I ZSL . 2 1 8 , 1 1 1 )

0 3 ) 3 A NEW TECHNIQUE FOR RATIONAL EXTRAPOLATION TO THE L I M I T tfUVTACK, L . NUHER. HATH. 1 7 . 2 1 3 - 9 1 1 9 7 1 ) ICR 1 3 , 2 3 , 0 2 5 ) I Z B L . 2 2 9 , 6 5 0 0 7 !

0 3 3 4 CONVERGENCE PROPERTIES OF THE SYMMETRIC AND UNSYMMETRIC SUCCESSIVE OVERRELAXATION NETMODS AND RELATEO NCTHOOS YOUNG* 0 . H , MATH. COMP. 2 4 , 7 9 3 - 8 0 7 ( 1 9 7 0 1 (NR 4 3 , T049I it I 1 9 7 1 , 1 0 * 7 3 1 ) IZBL. 2 2 1 . 4 7 4 ;

0 ) 3 5 SOME COMMENT 3 ON THE STABIL ITY OF ITERATION PROCESSES Z E t . v I N , O . V . 1, W C I S L . RAT. i HAT. F I Z . 4 , 7 4 5 - 8 1 1 9 * 4 ) IRZ 1 * 6 5 , 4 0 * 7 * ) I Z B L . 2 * 7 . 5 2 * 1 IR l 'SSIAN)

0 ) 3 6 COMPUTATION OF MULTIPLE REAL ROOTS OF FUNCTIONS Z I G L E V I C . 9 . A . Z . YYCISL- HAT. I HAT. F I Z . 9 , 1 1 * 5 - 8 1 1 9 * 9 1 IHR 4 2 , 2 * 5 4 1 I Z B L . 1 9 3 . 1211 IRUSSIAN)

23

Author Index

ADLER. R. J . AfRIAT* $ . N. AHHGTOVA, L . H . ALEFfLO, G . ALEFELD, G . ALEFELO. G . ALEFELO, G . ALLGOWER, E . L . A*BU«GFY, J . K. AMIR-MGEZ* A. R. ANDREWS* H . C .

BAILEY* 0 . W. BAKES. M. 0 . BALLANT I N F . C . S . B A L L A N T I N E . C . S . B A L L A N T I N E * C . S . BALLANTINE* C . S . BALLANTINE* C . S . BARKER* G. R. BARN5T1* S . BARNETT, S . BASILE* G . BAUER* F . L . RAUHURER* F . BEASLFY* L . B. BELL* R. J> BELLMAN, R. BEN-ISRAEL* A. BFN-ISRAEL* A. BINDER* C . F . B*NOFR, E. A. BERMAN, A. BERMAN* A. BHARGAVA* R. 0 . BIRKHOFF, G . BIRKHOFF, G . BIRKHOFF* G . RJORCK* A. BJHRCK, A. BO.IANOV* 8 . BOOTHROYO* J . BOULLION* T . L . BOULLION* T . L . BOWIE, C . BRAESS* n . BRASS* H . BRAUfcR, A. BRAUER* f BRAYTON* R. K. BRENNER* J . L. BRENNER* J . L. BRENT, R. P . BREZINSKI* C . BRFZINSKI , C. BRFZINSKI* C . BROW, K. M. BROWN* M. G. BROVDEN, C . G. BRQY9EN, C . G. 8UHARAEV* R. G.

B

0181 000! 0002 0003 0004 0005 0006 0007 0008 0009 0010

0011 0012 0013 0014 0015 0016 0017 0018 0019 0159 0020 0021 0022 0023 0024 0025 0028 0029 0026 0027 0028 0029 0030 0031 0032 0033 0034 0035 0036 0037 0008 0324 0034 0038 0C39 0040 0041 0042 0043 0044 0045 0046 0047 0048 0049 0044 0050 0051 0052

BUSl^GEfi, P. A. BUUREMt* H . J .

CARLSON. O. C1RPENTEK* J . A . CARRE* B. A. CHAMBERS* L. G. CHAT£L!N-LA8Oft0E* F . CHAZAN, 0 . CHOUOHiWY* A , F« CIHAK, P . CIHAK* P . CLINE* R. E . COtLATZ, L . COPPEL, W. A. COTTLE, R. W. CRABTREE* 0 . E . CUTHILL* F . H .

DANIEL, J . W. DANIL IK , J U . M. QASNIC* L . S . OASNIC* L . S . OASNIC. L . S . OATKO. R. OAVIS* C . OE P I L L I S * J . OEAN* F . OFKKER* T . J . OEKKER* T . J . DEKKER, T . J . OrMARR* R. OEUTSCH* E . OFUTSCH, E . OJOKOVIC* 0 . Z . OONNFLLY* J . O. P . OOHLLL* M. DOWNS* T . OUC-JACOUET, M. DUCK, H. OUKE* J . W.

EBERLEIN, P . J . EHRLICH, L . W. ELSNFR, L. ELSNER* L . EUFINSER* J ,

FAODEEV* 0 . K. FAOOEFV, 0 . K. FAOOEFV* 0 . K. FADDFEV, 0 . K. FAOOFEVA, V . N . FAOOEfVA, V . M. FAOOEEVA* V . M, FAOEEVA* V . N .

0053 0054

0055 0307 0056 0057 0058 0059 e ? ^ 0060 0061 0062 0063 0064 0065 00! I 0066

0069 0070 0071 0072 0073 007* 0075 0247 0024 0076 0077 00 78 0068 006? 0079 0080 0081 0082 0083 0084 0085 0086

0087 0088 0089 0090 0091

0092 0093 0094 0095 0093 0094 0095 0092

24

FAIR*JEATHER, G . FALK, S . FARAHAT, M. K. rEDORENKO, R. P . FFlNGOLO* O. G . FIEOLER* N . FIEDLER* « . FITZGFRALO. K. F . FORSYTHE* G. E . F9RSYTKE* G . F .

GASTINEL* N . GASTINEL* N . GEARHAKT* M. B . GENTRY* I . C . G ILL IES* A . U. G I L L l E f , A . U . GLIKSnN, A. GOLUB* G. H . GORDON* *J. R. GORDONOVA* V. I . GOIMLAV* A. R. GRAU* A. A . GREVILLE* T . H. E . GREVILLE* Tc N . E . GRIBOV* A. B. GRIFFIN* 0 . S . GROSSIART* 0 . GUSTAVSON* F . G .

H

HABETLER* G. J . HAOELFR* K. P. HAOELFR* K. P . HADELER* K. P. HAGENAN* L . A. HALL* C . A . HALL* C . A . HALftOS* P . R. HANSEN* E. R. HANSEN* E . R. HANSON* R. J . MARIO I . M. HARTFIEL* 0 . J . HARTFIEL* D. J . MARMOOO* * . R. HAYNSMORTH* E . V . HAYNSMORTH* E. V . HFARON* J . Z . HFARON* J * Z* HELTON* 8 . W. HFNRICI* P. HENRICI* P . HERZBERGER* J . HERZBERGE4* J . HERZBFRGER* J . HOffr\H, A. J . HOLL JAY* J . C . HOPCAOFT* J . E . HOUSEHOLDER* A* S HOUSEHOLD?*, A* S HOUSFHOLOER* A . S HOUSE HOLDER, A . S HOUSEHOLDER* A . S HOUSEHOLDER, A . S

0096 HOUSFHOLOER. A. S . 0097 HOUSEHOLDER, A. S. 0048 HCWLANO* J . L . 0099 HOMLANO. J . L . 0100 HUOI I * M. I . 0101 HURT. H . F . 010? C IO* 010*. CI 06 I R I . N.

0107 0108 0049 0041 0109 0110 01 f l 0112 0113 0114 0115 0116 0062 0117 0120 0118 0119 0C42

0063 OO'SO ••.121 0122 0123 0124 0125 0126 0127 0128 0129 0160 0130 0131 013? 0133 0134 0135 0136 0137 0138 0139 0004 0005 0006 0140 0141 014? 0143 0144 0145 014C 0147 0148

„A1N* M. K. JARRATT* P . JENKINS. N . A. JENNINGS, A. jOfîSTGN* R» L* JOYCF. G. T .

KALU7NIH. L. A. KAHBAYASHI, T . KANE* J . KAS*JANJUK. S. A. KATZ* I . J . KATZAN* P . KAUL* R. N . K A Z I N I R S K I I * P . S . K A Z I P I R S K I I * P . S . KEEPING* A. J . KFLLENBERGER* H . *FRR* L . R. K IN* H. *J. KING* R. F . KIRZNER* V . H . KLEINMICHEL* H. KOKOVKIN-SCERBAK, N . I . KOVARIK* 2 . KRAWCZYK. R. KRAUCZYK* R. KREYSZIG* E. KRISHAN* R. KU* S . Y . KUBLANOVSKAJA, V. N . KUBLANOVSKAJA, V . N . KUBLANOVSKAJA* V. N . KUBLANOVSKAJA* V . N . KUBLANOVSKAJA* V. N . KUBLANOVSKAJA, V . N . KUBLANOVSKAJA, V . N . KUBLANOVSKAJA* V. N. KULIK* S . KUZNECOV* V . G.

LAMBERT, R. J . LANCASTER* P . LANCASTER* P . LEBAUO, C, LEBAUO* C. LEHNER* 0 . H . LEHNIGK* S . H, LF.IPNIK* R. B. I.EMKE* C. E. .FVINGEP, B. W. LEVINGER, B. M.

0149 0 1 5 0 0151 0 1 * ? 0166 0153

0154

0155 0012 0156 0157 0i5S 0159

0160 0161 0010 0319 016? 0163 0164 0165 0166 0167 0168 0142 0172 0173 0174 0!"5 0'.?6 0177 0178 0179 0180 0155 0181 0093 0094 0095 0182 0183 0184 0185 0186 0187 0188

0323 0189 0190 0191 0192 0193 0194 0195 0065 0196 0197

25

M

LEWIS, T . 0 . LFWlS, T . 0 . L00AT0. V . A. LOEWY, R. LOOON* 0 . LOVASS-WAGY, V . LOVASS-NAGY, \ . LQVASS-HAGY. V . LOZ INSKI I * S . M.

NAITRE, J . F . RAKELAINEN* T . »«AN, F. T . MARCUS* M. MARCUS, M. RARER, I . KARKHAM, T . L . MARKHAM* T . L . RARKHAM* T . L . MAPTIN, R. S . MAXFIELO, J . E . MCENTEGGERT, P . MEDLEY, H. I . MfSZTFNVl, C . METROPOLIS. N. MEYER. C . 0 . MFYFR. C . O. t J R . M eVER. C . 0 . , JR. MIHALYFFY, L . MIHALVFFY, L. •*fNC. H . MfRANKFR* W. " 1 * 0 , 9 . MORE. J . J . ••ORRIS, M. L . MORRISON* 0 . 0 . MORSC* « . MUELLER* 0 . J . MLILLFR* P . C . NAGASAKA, H .

NEWMAN* M. NIETHAMMFR* M. NIFTMAMMFR, W. NINOMIYA, I .

OCCORSIO* M. R. ORTEGA* J . *. OSBORNE* M. R. DSTRHMSKI* A. M.

PAARDEKOOPER* M. K C . PAAROFKOOPFR* M. K C , PAINTER, R. J . PAI.HFR* T . W. P A ' l E T T , l», f». PECKNAM* G. PFR£?RA, V , PETERS* G. PETFRS. G.

N

0008 0324 0198 0199 0?00 0112 0201 0202 0203

0204 0205 0706 0207 0208 02C9 0210 0211 0212 0213 0214 0301 0215 0216 0217 0220 0218 0219 0221 0222 0223 0059 0224 0225 0226 0227 0228 0229 0230 0231

0207 023? 0233 0234

0235 0236 0237 02*8

0239 0240 0220 0069 0241 0242 0035 0243 0244

PEV7NER* C. L. PHILLIPS, 0. i.. PONSTTIN. J. •ORSCHING* T. A. POWERS* 0. L. POWERS. 0. L. POWERS* C. L. PSCTNICNY1, 8. N. PTAK, V.

RAMAKRISHNAN* A. REIMFR* M. REINER* N. BEINSCH* C. RHFINBOLOT. W. C, RICE* J. R. ROBERT, F. ROBERT* F. RQ8E»T, F. ROBERT* F. ROSF, 0. J. ROY* B. C. RUONEVA* T. L. RUHF* A.

SAMUEL* I. SAMUEL* !• SANTOS* A. H. SARMAN* S. SCMAEFER* **• H. SCHAFFER, H. H. SCHNEIOER* H. SCHNEIDER* H. SCHMARZ* M. R. SCHWEINLER* K. C. SCHUFTLICK* M. SCOUARNFC* C. SELUD*KO* G. A. SENEZ, J. A. SESHADRI* V. SHAVITT, I. SHAVITT. I. SINKHORN* R. SISLER* M. SMILEY, M. F. SMITH* 8. T. SMITH* 8. T. SMITH* R. SMITH* R. A. SOCALOV, JU. A. SORAL* R. N. SPANIER* J. STEWART* G. W. STEWART* G. W. STEWART* G. W. SWEET* R, A*

TANABE* K. TAUSSKV* 0* TAUSSKV* 0. TAUSSKV* 0. TFWARSPN. R. P. TFHARSON, R. P.

0245 0246 0248 0124 0132 0201 020? 0070 010?

0249 0250 0251 0213 0252 0253 0254 0255 0256 0257 0258 0259 0321 0260

0261 0262 0214 0263 0264 0265 0266 0267 0268 0269 0270 0271 0272 0152 0074 0026 0273 0274 0275 0278 0158 0279 0128 0280 005? 0030 0125 0149 0*81 0282 0283

0284 0283 0286 0287 0288 0289

26

TE MAR SON. R. P. TFNARSON. R. R. THOMPSON. G. L. THOMPSON. R. C. THOMPSON. R. C. THOMPSON. R. c. THOMPSON. R. c. THOMPSON. R. c. THOMPSON. R. r. THOPPSON. R. C. THOMPSON. R. c. THOMPSON, R. e. TOOO. J. TOOOP, L. TORI I, T. TRAUB. J. F. TRAUB, J. F. TRAUB, J, F, TRAUB. J. F. TURNER. R . E . L

u UNOEKMOOD, R. UPPULURI. V. R. R.

VAN OER SLUIS, A. VAN OER SLU1S. A. VAN KENPEN. H. P. M. VAN KENPEN, H. P. M. VAN KFHPFN, H. P. M. VARGA. R. S. VARGA, R. S. VARGA, R. S. VARGA, R. S. VARGA, R. S. VARGA, R. S. VARGA. R. S. VARGA, R. S. VAPGA, R. S. VARGA, R. S. VARGA, R. S. VARGA. R. S. VARGA, R. S. VARGA, R. S. VARGA. R. S. VARGA, R. S. VARGA, R. S. VARGA, R. S. VARGA, R. S.

0291 0290 0292 0293 0294 0295 0296 0297 0298 0299 0300 0301 0302 0303 3304 0077 0078 0156 0305 0306

0112 0307

0276 0277 0169 0170 0171 0031 0032 0033 0066 0100 0119 0123 0140 0141 0150 0196 0197 0209 0308 0309 0310 0311 0312 0313

VARGA. R. S. VARGA. R. S. VARGA. R. S. VARGA. R. S. VARGA. R. S. VARJUtllN. V. A. VASUOEVAN, R. VIOYASEGAR. H. VOEVOOIN. V. V. VOEVOOIN. V. V. VOEVOOIN. V. V. vntovic. v. M . VON FINCKENSTEIN. K. F.

w UAIO. C. WALTMANN, U. L. UARO. J. F. MATKINS, H. WATKINS, W. MEIL. R. L. WEINER. H. J. MIFGMANN. N. A. WIGKFR, E. P. WILKINSON. J. H. WILKINSON, J. K. WILKINSON. J* H. WILKINSON. J. H. WILKINSON. J. H. WILLIAMSON. S. G. WILLOUGHBV. R. A. WILLSON. A. N.c JR. WIMP. J. WITZGALL. C. WONENBURGER. M. J. WUYTACK, L.

VOSHIOKA. T. YOUNG. 0. M. YOUNG. 0. M.

ZENKIN. 0. V. ZIGLEVIC. B. A. ZUCMANOVIC. M. S. ZUSMANOVIC, M. S. ZUSMANOVIC. H. S.

0314 0315 0316 0317 0318 0319 0249 0267 0320 0321 0322 0322 0103

0153 0323 0324 0208 0325 0292 0326 C327 0269 0150 0213 0243 0244 0328 0329 0042 0330 0331 0216 0332 0333

0334 0033 0334

0335 0336 0072 0071 0073

27

Key Word Index REOUCING Tnf RANK (If (A - LAMBDA S I / 0 2 9 2

SERVATIONS ON THE PSEUOO-IMfERSF Of A RECTANGULAR MATRIX I I T I / SOME ON 0 0 2 0 INTRODUCTION TO MATRIX ANALYSIS 1 2 0 . 6 3 . 1 / 0 0 ? *

TION Of THE MATRIX EQUATIONS AX » XB • -fl ANO STX • XS • - J / SOLU 0 2 ) 0 SOLUTION OF THfc MATRIX ECUATIONS »X • XB • -Q ANO SIX • XS • ~Q/ 0210

ON PEARL'S RARER A PECONPJSITION THEOREM FUR MATRICES / 0 2 * 9 MATRICES / A REMARK CN THE PAPER OF H. H. SCMAEFER AN FSTIHATE OF THE NONTRIVlAL EIGEHVALUES <* STOCHASTIC MHO

ON OF THE CONDITION OF A I - 1 I R / A DISTANCE SETMEEN TrtO MATRICES A AMD B. A SIMPLE FUNCTI 3299 SERIES-PARALLEL ITERATIVE METHOOS/ 329»

MATRICES A ANO R. A SIMPLE FUNCTION OF Thf CONCITION OF A 4 - 1 I B / A DISTANCE BETWEEN TMO 0299 ENARK CONCERNING THE SIMILARITY OF A FINITF MATRIX A AND A*/ A R 0 2 8 *

UPPER BOUNOS FOR THE ABSCISSA OF STABILITY OF A STABLE POLYNOMIAL/ 0 1 ) 4 ON NETHCOS Of MINIMISATION MITH ACCELERATED CONVERGENCE/ 0 0 7 0

ICULAR NONLINEAR PROBLEMS/ A POSSIBILITY FOR ACCELERATING CONVERGENCE OF ITERATIVE PROCESSES FOR PART 9058 SES/ ON ACCELERATING THE CONVERGENCE OF COMPLEX ITERATIVE PROCES 3279

SOME REMARKS ON THE MATRIX OPERATOR AO A/ 02BT NO TRANSCENDENTAL ECUATICNS/ ADAPTIVE METHOOS OF SEPARATING REAL ROOTS Of ALGEBRAIC A 0272

EIGENVECTORS ANO AOJOINTS/ 0 1 2 * AND OR TklANGULARI/ATIOeiS/ HANOBOOK SERIES LINEAR ALGEBRA. EIGENVFCTQRS OF REAL AND CJMPLEX MATRICES BY IR 3 2 4 *

riANOAOOK SERIES LINEAR ALGEBRA. THE QR ALGORITHM FOR BANO SYMMETRIC MATRICFS/ 0 2 1 3 ADAPTIVE METHOOS OF SEPARATING REAL ROOTS OF ALGEBRAIC ANO TRANSCENDENTAL EQUATIONS/ C2»2

ON AN ESTINA.'ICN OF THE ROCTS OF ALGEBRAIC EQUATION*/ J03A OF FIXED-POINT COMPUTATION FOR SOLVING SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS/ IN THe EFFECTIVE USE 0 1 1 4 TRANSFORMATIONS TO THE NUMERICAL REALIZATION Of A LINEAR ALGEBRAIC PROBLEM OF PERTURBATION/ APPLICATION OF TRTHOG 0 1 8 4

NATURAL NORMS IN ALGEBRAIC PROCESSES/ 0 0 4 2 ERRCR ESTIMATES FOR THE SOLUTION CF LINEAR AlGEBRAIC SVSTFMS/ 0104

CONDITION. EQUILIBRATION, ANO PIVOTING IN LINEAR ALGEBRAIC SYSTEMS/ 0 2 7 * T OF THE METHOD OF REFLECTION FOR THE SOLUTION OF LINEAR ALGFRAAIC SVSTFMS/ ON A BLOCK VARIAN 9321 TENS/ CN LINEAR ALGEBRAIC SYSTEMS OF RECTA*^'" AR AN?) ILL-CONDITIONED SYS 0 0 * 4

ON THE SOLUTION OF LINEAR ALGEBRAIC SYSTEMS WITH RECTANGULAR MATRICES/ 0 0 9 3 LINEAR ALGFBRAIC SYSTEMS MtiM OCTANGULAR MATRICES/ 0 0 9 9

ON THE EXTENSION Of NORMS ON ALGEBRAS OF MATRICcS/ 0 1 0 ? AN ANALYSIS 0*- THE SHIFTEO LR ALGORITHM/ 0 0 7 *

THE PADE TABLE. THE FROENIUS IDENTITIES. AAO THE 0 0 ALGORITHM/ 0147 TAN^S. BEZOUT'S DETERMINANTS VS. COLLINS* REDUCED P . R . S . ALGORITHM/ COMPUTING POLYNOMIAL RESUL 01B1

ON THE PENULTIMATE REMAINDER ALGORITHM ANO THE CATALYTIC MULTIPLIER/ 0 1 4 9 AN EIGENVALUE ALGORITHM BASED CN NORM-REOUCING TRANSFERMAT IONS' 0 2 3 9

HANDBOOK SERIES LINEAR ALGEBRA. THE QR ALGORITHM I-OR 8 A NO SYMMETRIC MATRICES/ 0 2 1 1 At MATRIX/ AN ITERATIVE ALGORITHM FOR COMPUTING THE BEST ESTIMATE OF AN ORTHOGON 0 0 3 4

THE SHIFTEO OR ALGORITHM FOR HERNITIAN MATRICES/ 0 0 7 7 / A THREE-STAGE ALGORITHM FOR REAL PlLYNONIALS USING QUADRATIC ITERATION 0 1 9 * HETIC DIVISION/ ERROR ANALYSIS Of THE ALGORITHM FOR SHIFTING THE ZEROS OF A POLYNOMIAL BY STMT 0 2 8 2

AN EIGENVALUE ALGORITHM FOR SKEW-SYMMETRIC MATRICES/ 0 2 4 0 TENS OF LINEAR EQ J ATIONS/ AN ALGORITHM FOR SOLVING A SPECIAL CLASS OF TRIOI AGONAL SYS 0 2 9 8

ON AN ALGORITHM FOR SOLVING NONLINEAR SYSTEMS/ 0 0 4 8 THE CONVERGENCE OF AN ALGORITHM FOR SOLVING SPARSE NONLINEAR SYSTEMS/ 0 0 * 1

l-IMPLICIT SHIFT CF ORIGIN/ Tp* OR ALGORITHM FOR SYMMETRIC TRIOI AGONAL MAT"ICES USING A SEM 0 0 3 7 FICENVECTORS Of LARGE MATRICES/ MODIFICATION OF N6SUET'S ALGORITHM FOR THE ITERATIVE EVALUATION OF EIGENVALUES AN 0 2 7 3

ON AN ALGORITHM CF LAGUERRF UTILIZING THE METHOD OF STEPS/ 0 1 1 9 GENERALIZATIONS OF AN ALGORITHM OF SEBASTTAO E SILVA/ 0 1 4 *

APPLICATION OF THE EPSILON ALGORITHM TO THE SOLUTION OF NONLINEAR SYSTEMS/ 0 0 4 * THE OOUBLk QR ALGORITHM WITH SHIFT/ 0 1 9 2

ENTITY/ ERROR ANALYSIS Of ALGORITHMS FOR MATRIX MULTIPLICATION USING WlNOGRAO'S ID 0 0 4 9 ANALYSIS Of ALGORITHMS FOR REFLECTIONS IN BISECTORS/ 0 2 4 1

AR EQUATIONS/ ON THE MINIMIZATION OF COMPUTATIONAL ALGORITHMS FOR THE SOLUTION Of ARBITRARY SYSTEMS Of LINE 0 1 7 * AT ION ANO MATRIX COMPOSITION/ ALGORITHMS IN UN-NORMALIZED ARITHMETIC, POLYNOMIAL EVALU 0 2 1 7 CES Of ION RANK/ ON CERTAIN ALGORITHMS OF LINEAR COMPUTATION UTILIZING SUNS OF MATRI 0 0 8 4

ON CERTAIN ALMOST-TRLINGULAR BAND MATRICES/ 0 1 6 7 ALTERNATING DIRECTION IMPLICIT METHODS/ 0 0 3 3

OVER-RELAXATION APPLIFD TO ALTERNATING OIRFCTION METHOOS/ 0 3 1 ? ON VARIANTS Of SUCCESSIVE PVEORELAXATION MO ALTERNATING OIRECTION. IMPLICIT HF.TH30S/ 0 3 1 4

STEMS OF LINEAR EQUATIONS/ AN ALTERNATIVE HFTHCO OF SOIUTION OF CERTAIN T<» 101 AGONAL SY 0 0 1 2 PARTITIONED MATRICES/ AN ALTERNATIVE REPRESENTATION Of THE GENERALIZED INVERSE OF 0 2 2 ?

INTRODUCTION TO MATRIX ANALYSIS 1 2 0 . E D . I / 0 0 2 9 INOGRAO*S IDEMTITV/ ERROR ANALYSIS Of ALGORITHMS FOR MATRIX MULTIPLICATION USING H 0 0 4 9

ANALYSIS Of ALGORITHMS FOR REFLECTIONS IN B1SFCT0RS/ 0241 THE BASIC FORMS OF ERROR ANALYSIS OF MATRIX PROCESSES/ 0 3 2 8

LYNOMIAL BY SYNTHETIC DIVISION/ FRR3R ANALYSIS OF THE ALGORITHM FOR SHIFTING THE ZEROS Of A PO 0 2 3 2 AN ANALYSIS OF THE SHIFTEO LR ALGORITHM/ 0 0 7 8

SOME NEM THEOREMS ON MATRICES ANO THEIR ANALYTIC FUNCTIONS/ 0 1 1 1 THE CALCULATICN OF ZEROS OF POLYNOMIALS ANO ANALYTIC FUNCTIONS/ 0 3 0 9

NATIONS/ ANALYTIC FUNCTIONS OF FINITE OIMENSIONAL LINEAR TRANSFOR 0001 APPROXIMATION OF GIVEN RANK SN MATRIX SPACE/ 0 2 0 4

ARE HOOT/ BEST RATIONAL STARTING APPROXIMATIONS AND IMPROVED NEMTON ITERATION FOR THE SOU 0 2 3 4 AREA Of CONVEX HULL OF MATRIX EIGENVALUES/ 0 2 * 0

ON THE AREA O? THE FIELD OF VALUES OF A MATRIX/ 0 1 ? ? OM SOLVING SYSTEMS OF EQUATIONS USING INTERVAL ARITHMETIC/ 0127

IXFO-POINT THEOREM FOR PSEUOOMETRiC SPACES MlTH INTERVAL ARITHMETIC/ APPLICATIONS OF THE F 0 0 0 3 INTERVAL ARITHMETIC IN MATRIX COMPUTATIONS, PART 1 1 / 0 1 2 8

/ ALGORITHMS IN UN>NCRMAL1 ZED ARITHMETIC. POLYNOMIAL EVALUATION ANO MATRIX COMPOSITION 0 2 1 7 ASYMPTOTIC INCLUSIONS BY flEAMS OF 1HE NEWTON PROCESS/ 0 2 7 0

ING INTERVAL COEFFICIENTS/ AUTOMATIC ERROR BOUNOS FOR REAL RIOTS OF POT <«OMIALS HAV 0 1 2 9 THE PHYSICAL CONTENT OF AUTONNE'S LEMMA/ 0 1 0 9

SOLUTION OF THE MATRIX EQUATIONS AX • XS • - 0 AND STX • XS • - 0 / 0 2 3 0 AX » LAMBOA BX ANO THE GENERALIZED EIGENPRPSlEH/ 0244

A DISTANCE BETMEEN TWO MATRICES A ANO B, A SIMPLE FUNCTION OF THE CONDITIO OF A I - I I B / 0 2 9 9 A NCTE OH THE MATRICES DENOTE!) BY BfNI / 0087

AEOUCINC THE RANK OF IA - LAMBOA 8 1 / 0792 HIGHER ORDER BAIRSÔM METHOO FOrt SOLVING POLYNOMIAL EQUATION/ 3199

CRITERIA FOR POSITIVE DEFINITENESS CF SOME BAND MATRICES/ 0007

28

ON CFRTAIN ALNOST-TRIANGULAR SAM) N A T f l C E S / 0167 AN INVERSION HETMGC FOR SANO MATRICES/ 3 3 0 7

HANDBOOK SERIES LINEAR ALGE'tRA. Iff QR ALGORITHM FOR »AND SV«««»FTRIC MATR1CFS/ 0 2 1 3 SQUARE MATRICES H T H VECTORIAL BAS^S/ 1 ? 6 |

A <<SfEN Or LINFAR EQUATIONS B* IMF METMCO OF SUCCFSSIVE BASFS/ SOLUTION OF 3 2 7 1 THE BASIC FORMS OF ERROR ANALYSIS OF MATRIX P R X E S S E S / 0 3 2 8

REMARKS ON A PAPER BY ftEN-ISRAEL/ 0 l 4 2

»HM/ CONPMTING POLYNOMIAL RESULTANTS, B E Z 3 U . ' S DETERMINANTS VS . COLLINS' REDUCED P . R . S . ALGORI O K I 9FZ1UTIANTS, E L I M I N A T I O N AND LOCALIZATION/ 0 1 * 4

SIMULTANEOUS DIAGONAL IZAT ION OF SYMMETRIC BILINEAR FCRMS/ 0 3 1 ? ANALYSIS OF ALGORITHMS FOR REFLECTIONS I N BISECTCRS/ 0 2 4 1

F THE GFRSCHGORIN CIRCLE THEOREM./ BLOCK DIAGONALLY DOMINANT MATRICES A*D GENERALIZATIONS 0 0 1 0 0 THE PARTITIONING OF NETWORK EQUATIONS FOR BLOCK ITERATION/ 0 0 5 6

A NETHOO OF NORMALIZED BLOCK ITERATION/ 0 0 6 6 •JATIONS./ BLOCK ITERATIVE METHODS FOR CYCLICALLY REDUCED MATRIX EO 3123

GENERALIZED INVERSES OF BLOCK TRIANGULAR MATRICES/ 0 2 1 9 ON OF LINEAR ALGEBRAIC SYSTEMS/ ON A SLOCK VARIANT OF THE METHOD OF INFLECTION FOR THE SOLUM 0 3 2 1

PITFALLS I N COMPUTATION, OR MHV A MATH BOOK I S N ' T ENOUGH/ 0105 SOUNO NORMS/ 0 2 6 6

INVENTING MATRICES a l T H ERROR BOUNUS/ 0 0 0 4 FACTORIZATION O* POLYNOMIALS H|TH ERROR BOUNDS/ 0 1 4 3

BOUNOS FOR DETERMINANTS/ 0 0 1 1 CfASGORIN THEOREMS, REGULARITY THEOREMS. ANO BOUNOS FOR DETERMINANTS OF PARTITIONED MATRICES/ 0 0 4 3

BOUNDS FOR HORNER SUMS/ 0 2 5 0 PERTURBATION SOUNDS FOR MEANS OF EIGENVALUES ANO INVARIANT SUBSPACES/ 0 2 6 0

IMPROVEMENT OF SOUNDS FCR PROPER VALUES ANO VECTORS OF MAT" ICES/ 0 1 7 9 F F I C I E N T J / AUTOMATIC ERROR BOUNOS FOR REAL ROOTS OF POLYNOMIALS HAVING INTERVAL CQE 0 1 2 9

UPPER BOUNDS FOR ROOTS OF POLYNOMIALS/ 0 2 7 7 I A L / UPPER BOUNDS FOR THE ABSCISSA OF STABIL ITY OF A STABLE POLVNOM 0 1 3 4

NESTED BOUNOS FOR THE SPECTRAL RAOIUS/ 0 1 2 9 NESTED BOUNOS FOR THE SPECTRAL RADIUS/ 0 2 0 9

S TMEQR-R/ ERROR BOUNDS FOR ZEROS OF A POLYNOMIAL BASED UPON GERSCHGORIN' 0 2 7 9 AX - LAMBOA BX AND THE GENERALIZED EIGENPROBLEM/ 0 7 4 4

A KEh METHOO FOR M I N I M I Z I N G A SUM OF SQUARES WITHOUT CALCULATING GRADIENTS/ 0 2 4 2 A CHARACTERIZATION AND A CANONICAL DECOMPOSITION OF HURMITZIAN MATRICES/ 0 0 7 4

ON THE PENULTIMATE REMAINDER ALGORITHM AND THE CATALYTIC MULT IPL IER / 0 1 4 5 TRIANGULAR MATRICES AND THE CAYLEY-HAMILTON THEOREM/ 3 0 1 8

JORDAN CHAINS FO* LAMBDA MATRICES, 1 1 / 3 1 9 0 CHAOTIC RELAXATION/ 0 0 5 9

PERIODIC CHAOTIC RELAXATION/ D0B1 A CHAPTER FROM THE THEORY OF LINEAR SYSTEMS OF EQUATIONS/ 0 0 3 9

Z I A N MATRICES/ A CHARACTERIZATION ANO A CANONICAL DECOMPOSITION OF HURMIT 0 0 7 4 E OVEAREL/XATIO* METHOD ANC S E M I - I T E R A T I V E METHCOS USING CKEBYSHFV POLVNOPIALS/ A COMPARISON OF THE SUCCESS!V 0 3 0 9 XVROMIAL BY DETERMINING THE NUNREP OF ROOTS I N THE UNIT C I R C L E / ON THE SEPARATION OF ALL ROOTS OF A P 0 3 0 4 D O M \H1 MATRICES ANO GENERALIZATIONS OF THE GERSCHGORIN CIRCLE THEOREM./ BLOCK OIAGONALLV 0 1 0 0 N THE INCLUSION OF PROPER VALUES BY MEANS OF GERSCHGORIN CIRCLES/ 0 00B9

CONCERNING MATRIX NORMS, GERSCHGORIN CIRCLES AND JACOBI ROTATION/ 1,121 EIGENVALUES OF CIRCULANT MATRICES/ 0 1 0 8

ITERATION PROCEDURES* SOME RESULTS ON MATRICES OF CLASS K ANO THEIR APPLICATION TO THE CONVERGENCE RATE OF 0 1 0 2 S EtEMFMTS/ VARIATION OF THE EIGENVALUES OF A SPECIAL CLASS OF HERMIT!»N MATRICES UPON VARIATION .IF <ONE OF I T 0 1 7 1

•IN THE EIGENVALUES AND EIGENVECTORS OF A CLASS OF HESSENBERG MATRICES/ 0 0 9 6 THE PERMUTATION OF A CERTAIN CLASS OF MATRICES/ 019B

SOME REMARKS ON A CLASS 0 * MATRIX INEQUALIT IES / 0 3 2 9 AM ALGORITHM FOR SOLVING A SPECIAL CLASS OF T R I O I AGONAL SYSTEMS OF LINEAR EQUATIONS/ 0 2 5 8

ON CLASSES OF COPOSITIVE MATRICES/ 0 0 6 5 NON-DISTINCT EIGENVALUES/ ON THE CONVERGENCE OF THE CLASSICAL JACOBI METHOO FOR REAL SYMMETRIC MATRICES WITH 0 1 6 9

ON THE CLASSIF ICATION OF MATRIX GENERALIZED INVERSES/ 0 1 1 0 A THEOREM ON CLUSTERS OF ROOTS OF POLYNOMIAL EQUATIONS/ 0 2 3 8

a SYSTEM OF SIMULTANEOUS LINEAR ECUATIONS WITH A SPARSE COEFFICIENT MATRIX BY EL IMINATION METHOD',/ SOLUTION OF 0 2 8 9 ROM BOUNOS FOR *EAL wOC?? OF POl?N0MIALS HAVING INTERVAL COEFFICIENTS/ AUTOMATIC ER 0 1 2 9 NPROV1NC AK JTPROXIMATE FACTOR Of A POLYNOMIAL l>ITH REAL COEFFICIENTS BY AN ITERATIVE PROCESS/ ON I 0 0 3 0 MPUTINC POL"NTM|Al RESULTANTS, BEZ0UT<S DETERMINANTS VS . COLLINS* REDUCED P . R . S . ALGORITHM/ CO 0 1 8 1

ON COMMUTATIVE NILPGTENT OPERATORS/ 017? REPRESENTING A COMMUTING PAIR BY TENSOR PRODUCTS/ 007>

S / ON THE COMMUTING RECIPROCAL INVERSE OF SOME PARTITIONED MATRICE 0 2 0 2 APPLICATIONS CF AM INEQUALITY FOR THE SCHUR COMPLEMENT/ 0 1 3 3

REDUCTION 0 ' A MATRIX USING PROPERTIES OF THE SCHUR COMPLEMENT/ 0114 ON ACCELERATING THE CONVERGENCE OF COMPLEX ITERATIVE PROCESSES/ 0275

ON THE MONOTOMCITV OF COMPLEX MATRICES/ 0 2 2 4 ERARCHV OF GENERALIZED DIAGONi l DOMINANCE PROPERTIES FOR COMPLEX MATRICES/ ON A H I 0 0 4 4

HOUSEHOLDER'S MFTHCD FOR COMPLEX MATRICES AND EIGENSYSTEMS OF HERMITIAN MAT»»;ES/ 0 2 2 9 HANMOOK SERIES LINEAR ALGEBRA. EIGENVECTORS OF REAL AND COMPLEX MATRICES BY LR AND OR TRIANGULAR I Z A T I O N S / 0 2 4 3

COMPLEX MATRIX INVERSION VERSUS REAL/ 0088 LOCATION OF ZEROS OF A COMPLEX POLYNOMIAL/ !KH9

ON LINEAR INEQUALITIES IN COMPLEX SPACE/ 0 1 6 4 ITERATIVE PROCESSES FOR OETtRHINING COMPLEX ZEROS/ 0 1 7 8

NCNTS Of POSIT IVE POMERS OF N / DIRECT COMPUTATION OF THE COMPONENTS OF PROPER VEcTORS OF A SYMMETRIC MATRIX M. CO 0 2 6 2 -NORMALIZED ARITHMETIC. PCLVNCMIAL EVALUAT.ON ANO MATRIX COMPOSITION/ ALGORITHMS I N UN 0 2 1 7 HE COMPONENTS OF PROPER VECTORS OF A SYMMETRIC MATRIX M. COMPUTATION BY RECURRENCE OF THE ELEMENTS OF P O S I T I V E PO 0 7 6 2 T I M S / ON THE EFFECTIVE USE OF F IXED-POINT COMPUTATION FOR SOLVING SYSTEMS OF LINEAR ALGEBRAIC EOUA 0 1 1 4

COMPUTATION OF MULTIPLE REAL ROOTS OF FUNCTIONS/ 0 3 3 6 METHOD OF RECURRENT COMPUTATION OF THE CHARACTERISTIC POLYNOMIAL/ 0 1 2 0

CURRENCE O f THE ELEMENTS OF P 0 S I 7 I V E POWERS Of P/ DIRECT COMPUTATION OF THE COMPONENTS OF "ROPER VErTO»«; OF A SVM 3262 Oh CERTAIN ALGORITHMS CF LINEAR COMPUTATION U T I L I Z I N G SUMS OF MATRICES OF • NX/ 0084

PITFALLS I N COMPUTATION, OR MHY A MATH BOOK I S N ' T E" 0 1 0 5 YSTEMS OF LINEAR r d U A T I O N S / ON THE MINIMIZATION OF COMPUTATIONAL ALGORITHMS FOR THE SOLI"' .BITRARV S 0 1 7 6

COMPUTATIONS WITH SPARSE MATRICES/ 0 2 9 1 INTERVAL ARITHMETIC IN MATRIX COMPUTATIONS* PART 1 1 / 0 1 2 8

KRONECKER MATRICES, COMPUTER IMPl ENENTATION, AND GENF».A«.IZti> - . 'ECTRA/ 0 0 1 0 FOR A 9ECtANGULAR MATRIX/ ON COMPUTING GENERALIZED CHARACTERISTIC VECTORS ANO VALUES 0 0 0 8 S . COLLINS' REDUCED P . R > S . ALGORITHM/ COMPUTING POLYNOMIAL RESU1 i A N T S , -SEZOUT'S DETERMINANTS V 0 1 8 1

AN ITERATIVE ALGORITHM FOR COMPUTING THE REST ESTIMATE OF AN ORTHOGONAL MATRIX/ 0034

29

NNEGATIVE IRREDUCIBLE MATRIX/ COMPUTING THE MAXIMAL EIGENVALUE ANO EIGENVECTOR OF A NO 0 1 2 * A MCDIFIEO REGULA FALSI METHOD FOR COMPUTING THE ROOT OF AN EQUATION/ 0 0 * 2

DIRECT NETHOOS FOR COMPUTING ZFROS OF POLYNOMIALS/ 0 0 2 2 » USEFUL GENERALIZATION CF THE P I O ) MATRIX CONCEPT/ 0 3 3 0

INCLUSION OF PR0P5R VALUES BY LORFNT* CONES/ 0 0 9 0 THE METHODS OF CONJUGATE GRAOIENTS I N LEAST-SQUAHES F I T T I N G / 0 2 6 8

VALUES OF THF RATIO OF QUADRATIC FORMS SUBJECT TO LINEAR CONSTRAINTS/ STATIONARY 0 1 1 2 ON CONSTRUCTING NEARLY DECOMPOSABLE MATRICES/ 0 1 3 1

OBI EM/ A CONSTRUCTIVE MFTHOO FOR THE SOLUTION OF THE STABIL ITY PR 0 1 9 2 ROOTS OF AN IRREDUCIBLE CONTINUANT/ 0 1 3 6

ON THE NOTION OF MEM CONTRACTION RELATIVE TO A VECTORIAL NORM/ 0 2 5 * ON METHODS OF M I N I M I Z A T I O N WITH ACCELERATED CONVERGtNCE/ 0 0 7 0

A CONVERGENCE CRITERION FOR MULTIPLE R A T I O S / 0 1 6 1 A GEOMETRIC PROOF OF CONVERGENCE FOR THE QR METHOD/ 0 0 9 4

SYSTEMS/ THE CONVERGENCE OF AN ALGORITHM FOR SOLVING SPARSE NONLINEAR 0 0 9 1 ON ACCELERATING THE CONVERGENCE OF COMPLEX ITERATIVE PROCESSES/ 0275

EAR PROBLEMS/ A P O S S I B I L I T Y FOR ACCF'.ERAT ING CONVERGENCE OF ITERATIVE PROCESSES FOR PARTICULAR NOMLIN 0 0 3 * N OF NONLINEAR SYSTEMS OF EQUATIONS/ EXPRESSIONS FOR THE CONVERGENCE OF K I N C A I O a S PROCEDURE FOR THE APPROXIMATE S 0 1 7 5

GLOBAL CONVERGENCE OF N E M T O N - G A U S S - S E I O E L NETHOOS/ 0 2 2 5 THE CONVERGENCE OF SINGLE-RANK QUASI-NEWTON METHODS/ 0 0 5 0

ETRIC MA TRICE". M T H NON-DISTINCT EIGENVALUES/ ON THE CONVERGENCE OF THE CLASSICAL JACONl METHOD FOR REAL SVNH 0 1 6 4 ON THE CONVERGENCE OF THE ORTHOGONAL POKE* METHOD/ 0 3 2 0

REMARKS ON THE CONVERGENCE OF THE OR NETHGL'/ 0 1 9 1 ON THE QUADRATIC CONVERGENCE OF THE SPECIAL CYCLIC J..COBI METHOD/ 0 1 7 0

SUCCESSIVE OVERRFLAXATION METHODS AND RELATEO METHODS/ CONVERGENCE PROPERTIES OF THE SYMMETRIC ANO UNSYNHETRIC 0 3 3 * ULTS ON MATRICES OF CLASS K AND THEIR APPMCATICN TO THE CONVERGENCE RATE OF ITERATION PROCEDURES/ SOME RES 0 1 0 2 F A POLYNOMIAL/ A CONVERGENT ITERATIVE PROCESS FOR DETERMINING THE ZEROS O 0 1 6 8 T I O N S / RAPIDLY CONVERGENT RECURSIVE SOLUTION OF QUADRATIC OPERATOR EQUA 0 1 9 5 A POSIT IVE DEFIN ITE OUADRATIC POLYNOMIAL ON A SPHERE ARE CONVEX FUNCTIONS OF THE RADIUS/ THE MAXIMUM ANO MINIMUM 0 1 0 6

AREA OF CONVEX HULL OF MATRIX EIGENVALUES/ 0 2 0 0 ON CLASSES OF COPOSITIVE MATRICES/ 0 0 * 5

OF SEMI SIMPLE STRUCTURE/ OK SETS (,7 CORTEGES OF CHARACTERISTIC ROOTS OF STOCHASTIC MATRICES 0 0 5 2 / CRITERIA FOR P O S I T I V E 0EFIN1TENESS OF SOME BAND MATRICES 0 0 0 7 TION OF THEIR SPFCTRA/ ON SOME CRITERIA FOR THE REGULARITY OF HATft'CES ANO THE LOCAL 1ZA 0 0 7 3 CT OF A LOWER TRIANGULA* AND AN UPPER TRIANGULAR MATRIX/ CRITERIA FOR THE REPRESENTABILITV OF A MATRIX AS THE PRO 0 1 7 *

A CONVERGENCE CRITERION FOR MULTIPLE RATIOS/ 0 1 6 1 REACTOR C R I T I C A L I T Y ANO M0NNEGAT1VE MATRICES/ 0 0 3 1

FRRATA, REACTOR C R I T I C A L I T Y ANO NONNEGATIVE MATRICES/ 0 0 3 2 CROSS-POSITIVE MATRICES/ 0 2 6 7

ON THE QUADRATIC CONVERGENCE OF THE SPECIAL CYCLIC JACOBI METHOD/ 0 1 7 0 BLOCK ITERATIVE METHODS FOR CYCLICALLY REDUCED MATRIX EQUATIONS. / 0 1 2 3

A S I M P L I F I E D FORM FOR NEARLY REDUCIBLE AND NEARLY DECOMPOSABLE MATRICES/ 0 1 3 0 ON CONSTRUCTING NEAR.V DECOMPOSABLE MATRICES/ 0 1 3 1

A CHARACTERIZATION ANO A CANO» CAL DECOMPOSITION OF H U R M I T Z U N MATRICES/ 0 0 7 * ON PEARL'S PAPER A DECOMPOSITION THEOREM FOR MATRICES / 0 2 9 4

PRODUCTS OF POSIT IVE DEFIN ITE MATRICES 1 / 0 0 1 3 PRODUCTS OF P O S I T I V E DEFIN ITE MATRICES 1 1 / 0 0 1 * PRODUCTS OF POSIT IVE DEFIN ITE MATRICES I I I / 0 0 1 5 PRCOUCTS OF POSIT IVE DEFIN ITE MATRICES I V / 0 0 1 7

f**tS OF THF RADIUS/ THE MAXIMUM AND M I N I N G " Of A POSIT IVE DEFIN ITE OUAORATIC POLYNOMIAL ON A SPHERE ARE CONVEX FUN 0 1 0 6 SOME INEQUALITIES FOR POSIT IVE DEFIN ITE SYMMETRIC MATRICES/ 0 2 0 6

CRITERIA FOR POSIT IVE DEFINITENESS OF SOME BAND MATRICES/ 0 0 0 7 TIONS OF A NONLINEAR SYSTEM/ DEFLATION TECHNIQUES FOR THE CALCULATION OF FURTHER SOLU 0 0 * 9

A NOTE ON THE MATRICES DENOTED BY B I N I / 0 0 * 7 DERIVATIVE-FREE ITERATION PROCESSES/ 0 3 3 1

A RECURSIVE RELATION FOR THE DETERMINANT OF A PENTADIAGONAL MATRIX / 3 2 * 3 ON SOME OETERMINANTAL I N E Q U A L I T I E S / 0 0 5 5

BCUNOS FOR DETERMINANTS/ 0 0 1 1 GERSGORIN THEOREMS. REGULARITY THEOHEMS. AND BOUNOS FOR DETERMINANTS OF PARTITIONED MATRICES/ 0 0 * 3

COMPUTING POLYNOMIAL RESULTANTS* BEZOUT'S DETERMINANTS V S . COLLINS* REDUCED P . R . S . ALGORITHM/ 0 1 0 1 ON A HIERARCHY OF GENERALIZED DIAGONAL DOMINANCE PROPERTIES FOR COMPLEX MATRICES/ 9 0 * *

UN THE REDUCTION OF A POLYNOMIAL PATRIX TO DIAGONAL FORM/ 0 0 0 2 STABIL IZAT ION BY A DIAGONAL MATRIX/ O016

SIMULTANEOUS 01 AGONAL IZAT ION OF SYMMETRIC BILINEAR FORMS/ 0 ) 3 2 GERSCHGORIN CIRCLE THEOREM./ BLOCK DIAGONALLY DOMINANT MATRICES ANO GENERALIZATIONS OF THE 0 1 0 0

A RELAXATION METHOD FOR SOLVING E L L I P T I C DIFFERENCE EQUATIONS/ 0 0 9 9 ANALYTIC FUNCTIONS CF F I N I T E OIMENSIONAL LINEAR TRANSFORMATIONS/ 0 0 0 1

LYNOMIAL/ THE DIMENSIONS OF SYMMETRIC MATRICES K I T H A GIVEN MINIMUM PO 0 0 2 7 ALTERNATING DIRECTION I M P L I C I T METHODS/ 0 0 3 3

OVER-RELAXATION APPLIED TO ALTERNATING DIRECTION METHODS/ 0 3 1 2 ON VARIANTS OF SUCCESSIVE CVERRELAXATION ANC ALTERNATING D IR EC T ION . I M P L I C I T METHODS/ 0 3 1 *

ON A OISCRETE MAXIMUM P R I N C I P L E / 0 3 1 6 CALCULATION OF BEST ISOLATEO GERSCHGORIN D I S C S / 015B

JOHNSTON ANO SMITH CONCERNING BEST ISOLATED GERSCHGORIN D I S K S / A NOTE ON THE PAPER OF 0 2 1 5 ON SMALLEST ISOLATEO GERSCKGORIN OlSftS FOR EIGENVALUES/ 0 3 1 5

Oil A HIERARCHY OF GENERALIZED 01 AGONAL O O M I N A M C - " PROPERTIES FOR COMPLEX MATRICES/ 0 0 * * CIRCLE THEOREM./ BcOCK DIAGONALLY DOMINANT MATRICES ANO GENERALIZATIONS OF THE GERSCHGORIN 0 1 0 0

THE DOUBLE QR ALGORITHM K I T H S H I F T / O t 9 2 LINEAR TRANSFORMATIONS UNDER WHICH THE DOUBLY STOCHASTIC MATRICES ARE INVARIANT/ 0 2 7 *

ON MATRICES NlTH A DOURLY STOCHASTIC PATTERN/ 0 2 0 0 ON AN FXPOSEO ELEMENT OF A SET OF DOUBLY STOCHASTIC RECTANGULAR MATRICES/ 0 0 6 0

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30

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0 0 2 4 0 2 3 7 3 2 6 3 0 0 8 5 0 1 5 1 0 2 9 0 0 3 1 5 0 1 6 9 0 0 9 6 0?T3 0 2 6 0 0 1 7 1 3 ) 0 8 0 2 9 7 0 1 5 0 0 3 0 6 0 2 6 * 0 0 * 0 0 1 2 * 0 0 2 6 3 2 2 ) 0 2 6 8 0 1 2 6 0 0 9 6 0 2 T 3 3 2 6 ) 0 1 1 8 0 0 5 ) 0 1 6 6 3 2 8 9 0 0 9 9 9 1 0 ? 0 0 8 6 0 2 1 8 0 0 4 6 0 0 6 7 0 2 9 6 0 2 9 8 0 2 7 6 0 1 6 0 0 0 ) 2 0 0 6 $ 0 3 2 8 0 2 8 2 0 2 4 6 0 0 0 6 0 1 6 ) 0 1 2 9 0 2 7 9 0 1 0 6 9 2 ) 1 0 0 3 6 G060 0 2 6 4 0 1 0 6 0 0 ) 6 0 2 ) 2 0 1 8 9 0 0 6 0 0 1 7 5 0 1 0 7 0 0 6 2 0 3 3 3 0 7 0 5 0 3 2 6 0 2 8 1 0 3 1 3 0 1 4 9 9 1 6 ) 0 2 1 2

oosr 0228 010) 0122 0)03 0057 0001 0203 0286 0268 0114 000) 0252 0228 0245 03)2 0328 0112 0057 0226 0147 002)

31

A DISTANCE BETWEEN T*D MATRICES A AND 8* A SIMPLE FUNCTION OF THE CONDITION OF A t - 1 1 8 / 0295 OR THE INVERSION OF A MATRIX OF RATIONAL FUNCTIONS/ 0 0 * 1

SOME NEW THEOREMS ON MATRICES ANC THEIR ANALYTIC FUNCTIONS/ 0111 NULTIGRAOIENTS AND THE ZEROS OF TRANSCENOENIAL FUNCTIONS/ 01*3

THE CALCULATION OF ZEROS OF POLYNOMIALS ANO ANALYTIC FUNCTIONS/ 0305 NONNEGATIVELY POSED PROBLEM* ANO COMPLETELY PONCTONIC FUNCTIONS/ 031T

COMPUTATION OF MULTIPLE REAL ROOTS OF FUNCTIONS/ 033* ANALYTIC FUNCTIONS OF FINITE OINENSIONAL LINEAR TRANSFORMATIONS/ 0001

jUBMATRICES/ ON FUNCTIONS OF PARTITIONED MATRICES WITN NONOtAGONAL IZABLE 0201 IVF DEFINITE OUAORATIC POLYNOMIAL ON A SPHFRE ARE CONVEX * - .TIONS OF THE RAOIUS/ THE NAXINUN ANO MI HI NUN OF A PO 010*

ON H~FUNCTI0ftS ANO THEIR APPLICATION' TO NONLINEAR GAUSS-SEIOEL ITERATIONS ANO T3 NETWORK FLOWS/ 0252 MONITORING THE NUMERICAL STABILITY OF GAUSSIAN ELIMINATION/ 0053

GENERALIZATION OF ELEMENTARY HERMIT U N MATRICES/ 0115 A USEFUL GENERALIZATION OF THE PIOI MATRIX CONCEPT/ 0330

A GENERALIZATION OF THE PERRON-FROBENtOS THEOREM/ 00*9 AT ION SCHEME/ P-CYCLIC MATRICES, A GENERALIZATION OF THE VQUNfr-FRANKEL SUCCESSIVE OVERRELAX 0311

GENERALIZATIONS OF A WELL-KNOWN RESULT I N MATRIX THEORY/ 0293 GENERALIZATIONS OF AN ALGORITHM OF SEBASTIAO E SILVA/ 01*4

PA'TiRNS OF DEPENDENCE IN GENERALIZATIONS OF GERSCHG0RIN*S THEOREN/ 01*0 BLOCK DIAGONALLY DOMINANT MATRICES ANO GENERALIZATIONS OF THE GERSCHGORIN CIRCLE THEOREM./ 0100

ANGULAR MATRIX/ CM COMPUTING GENERAL IZEC CHARACTERISTIC VECTORS ANO VALUES FOR A RECT 0000 TRICFS/ ON A HIERARCHY OF GENERALIZED 01 AGONAL DOMINANCE PROPERTIES FOR COMPLEX HA 0 0 * *

AX # LAM0OA BX ANO THE GENERALIZED EIGENPROBLEN/ 0 2 * * ON r«NERALIZEL IOENPOTENT MATRICES/ 02*9

AN EXTENSION OF THE GENERALIZED INVERSE OF A MATRIX/ 00*2 AN ALTERNATIVE REPRESENTATION OF THE GENERALIZED INVERSE OF PARTITIONED MATRICES/ 0222

MS TO A SYSTEM OF LINEAR EOUATIONS/ A GENERALIZED INVERSE WHICH GIVES ALL THE INTEGRAL SOLUTIO 0153 ON THE CLASSIFICATION OF MATRIX GENERALIZED INVERSES/ 0110

SCME REMARKS ON EPA MATRICES ANO GENERALIZED INVERSES/ 0210 GENERALIZED IWVTRSES ANO SOLUTIONS OF LINEAR SYSTEMS/ 0135 GENERALIZED INVERSES OF BLOCK TRIANGULA* PATRICEV 0219

A NOTE ON THE GFNERA IZEO INVERSfS OF SOME PARTITIONED MATRICES/ 0132 SONE NEW GENERALIZED INVERSES WITH SPECTRAL PROPERTIES/ OUT

ON AN APPROACH TO THE SOLUTION OF THE GENERALIZED LATENT VALUE PROBLEM FOR LAMBDA-MATRICES/ 0105 E HTH ROOT/ GENERALIZED LOGA»IT»«|C ERROR ANO NEWTON*S NETHOO FOR TM 0 2 * *

KRONECKER MATRICES* COMPUTER IMPLEMENTATION. ANO GENERAL IZEC SPECTRA/ 0010 A GEOMETRIC PROOF OF CONVERGENCE FOR THE ON NETHOO/ 0054

GEOMETRIC THEORY OF THE UNITARY EQUIVALENCE OF MATRICES/ 01*0 OUGONAiIV DOMINANT HATMCES AND GENERALIZATIONS OF THE GERSCHGORIN CIRCLE THEOREM./ BLOCK 0100

ON THE INCLUSION OF PROPER VALUES BY MEANS OF GERSCHGORIN CIRCLES/ 0009 CONCERNING MATRIX NORMS. GERSCHGORIN CIRCLES ANO JACOBI ROT4TION/ 0121

CALCULATION OF BEST ISOLATED GERSCHGORIN DISCS/ 0150 THE PAPFR OF JOHNSTON ANO SMITH CONCERNING BEST ISOLATED GERSCHGORIN OISKS/ A NOTE OH 0215

ON SMALLEST ISOLATED GERSCHGORIN OISKS FOR EIGENVALUES/ 0315 MINIMAL GERSCHGORI3 SETS FOR PARTITIONED MATRICES/ 031B

GERSCHGORIN TYPE THEOREMS FOR PARTITIONED MATRICES/ 0199 CES/ A NOTE ON GERSCHGORIN*S INCLUSION THEOREM FOR EIGENVALUES OF NATRI 0150

PATTERNS OF DEPENDENCE IN GENERALIZATIONS OF GERSCHGORI*•S THEOREM/ 01*0 ERROR BOUNCS FOR ZEROS OF A POLYNOMIAL BASED UPON GERSCHGORIN*S THEOREM/ 0279

DETERMINANTS OF PARTITIONED NATf.lCES/ GERSGORIN THEOREMS. REGULARITY THEOREMS. AND BOUNDS FOR 00*3 MINIMAL GERSHGORIN SETS 1 1 / 0 1 9 *

MATRIX FOR THE APPLICATION OF THE METHOD OF JACOSI OR OF GIVENS FOR FINDING PROPS* VALUES ANL VECTORS/ THE PROOIE 0303 GLOBAL CONVERGENCE OF NEWTON-GAUSS-SEIOEL METHODS/ 0225

THOD FOR MINIMIZING A SUN OF SOUARES WITHOUT CALCULATING GRADIENTS/ A NEW HE 02*2 THE METHCOS OF CONJUGATE GRADIENTS IN LEAST-SQUARES FITTING/ 02 *0

EXPERIMENTS ON GRAN-SCHMIDT O R T N O G O N A L I Z A T I O N / 0253 THE HORNER SCHEME/ INVESTIGATIONS OF THE GROWTH OF SECTIONS OF POWER SERIES WITH APPLICATIONS TO 0251 S OF STOCHASTIC MATRICES / A REMARK ON THE PAPER OF H. H . SCHAEFER AN EST1HATE OF THE NONTRIVIAL EIGENVALUE 0B4O F STOCHASTIC MATRICES / A REMARK ON THE PAPER OF H. H. SCHAFFER Ah ESTIMATE OF THE NONTRIVIAL EIGENVALUES 0 00*0 COMPLEX MATRICES BY LR ANO OR TRIANGULAR 12ATIONS/ HANDBOOK SERIES LINEAR ALGEBRA. EIGENVECTORS OF REM. AND 02*3

0 SYMMETRIC HA'RICSS/ HANDBOOK SERIES LINEAR ALGEBRA. THE OR ALGORITHM FOR BAN 9213 THE SHIFTED QR ALGORITHM FOR HERN ITIAN MATRICES/ 00T7 GENERALIZATION OF ELEMENTARY HERN ITIAN MATRICES/ O l l S

PARTITIONED HERNITIAN PATRICKS/ 0200 HOLDER'S NETHOO FOR COMPLEX MATRICES ANO EIGENSYSTENS OF HERMITIAN MATRICES/ HOUSE 0229 $/ VARIATION OF THS EIGENVALUES OF A SPECIAL CLASS OF HERMITIAN MATRICES UPON VARIATION OF SONE OF ITS ELEMENT 0171

PERTURBATION OF A HERMITIAN OR riORPAL MATRIX/ 005S A NOTE ON PENCILS OF HERMITIAN OR SYMMETRIC MATRICES/ 0029

ON THE EIGENVALUES ANO EIGENVECTORS OF A CLASS OF HESSEMBERG MATRICES/ OR COMPLEX MATRICES/ ON A HIERARCHY OF GENERALIZED 01AGONAL DOMINANCE PROPERTIES F TION/ HIGHER ORDER BAIRSTOW NETHOD FOR SOLVING POLYNOMIAL EOUA 0155 ICES/ PROCESSES OF HIGHER ORDER FOR THE ITERATIVE INCLUSION OF INVERSE MATR OOO* WTH Of SECTIONS OF POWER SERIES WITH APPLICATIONS TO THE HORNER SCHEME/ tNVESTIGATIONS OF THE GOO 0251

BOUNDS FOR HORNER SUNS/ O250 MS OF HERN!TUN MATRICES/ HOUSEHOLDER'S METHOD FOR COMPLEX MATRICES AND EIGENSYSTE 0229

•REA OF CONVEX HULL OF MATRIX EIGENVALUES/ 0 2 M ON THE HURVITZ MATRIX/ 0 1 9 *

A CHARACTERIZATION ANO A CANONICAL DECOMPOSITION OF HURWITZIAN MATRICES/ 0 0 7 * ON GENERALIZED IOEHPOTENT MATRICES/ 02*9

THE FADE TABLE. THE FROKNIUS IDENTITIES. ANO THE 0 0 ALGORITHM/ 01*T OF ALGORITHMS FOR MATRIX MULTIPLICATION USING WINOGRAD*S IOENTITY/ ERROR ANALYSIS O0*5

ON LINEAR ALGEBRAIC SYSTEMS OF RECTANGULAR AND ILL-CONDITIONED SYSTEMS/ 0 0 9 * KRONECKER MATRICES, COMPUTER IMPLEMENTATION, AND GENERALIZED SPECTRA/ OO10

ALTERNATING OIREtTIO* IMPLICIT METHODS/ 0033 OF SUCCESSIVE OVERRELAXATION ANO ALTERNATING DIRECTION. IMPLICIT METHODS/ ON VARIANTS 0 3 1 *

PROCESSES OF HIGHER ORDER FOR THE ITERATIVE INCLUSION OF INVERSE NATRICES/ 0 0 0 * INCLUSION CF PROPER VALUES BY LORCNTZ CONES/ 0090

ES/ ON THE INCLUSION 0> PROPER VALUES BY MEANS OF GcRSCHGORIN CIRCL OOO* A NOTE ON GERSCHGORIN'S INCLUSION THEOREN FOR EIGENVALUES OF MATRICES/ 0130

SON*: INCLUSION THEOREMS FOR MATRIX PROBLEMS/ 0 0 * 3 ASYMPTOTIC INCLUSIONS 6V MEANS OF THE NEWTON PROCESS/ 0270

URMATRICES/ PRINCIPAL SUBMATRICES I V . ON THE INDEPENDENCE Of THE' EIGENVALUES OF DIFFERENT PRINCIPAL S 0297

32

SETS OF LIMEARLV INOEPEMOENT PERMUTATION MATRICES/ 0098 ON SOME OFTFA«INAN»AL INEQUALITIES/ 0055

PRINCIPAL SUBMATRICES I I I . LINEAR INEQUALtIICS/ 0294 PRINCIPAL SUBMATRICES I I . THE UPPER ANO LOWER QUADRATIC INEQUALITIES/ 3301

SOME REMARKS Oh A CLASS CF MAIRU INEQUALITIES/ 0324 1PAL SUSKATRICES V I . CASES OF EOUALlTV IN CERTAIN LINEAR INEQUALITIES/ PRINC 0248 CES/ INEQUALITIES FOR PARTITIONED POSITIVE S E * H * f I N I T F NATRI 0747

SOME INEQUALITIES FOR POSITIVE DEFINITE SYMMETRIC MATRICES/ 3206 CN LINEAR INEQUALITIES IN COMPLEX SPACE/ 9164

INEQUALITIES RELATED TO L i O S K I I ' S / 0276 <*ORE CN LINEAR INEQUALITIES WITH APPLICATIONS TO MATRIX THEORY/ 0028

APPLICATIONS OF AN INEQUALITY FOR TMf SCHUR COMPLEMENT/ 0113 REMARKS ON THE INERTIA OF A "ATMX/ 0159

IMPROVED NEWTON HERAT. ON FOR INTEGRAL RCOTS/ 017) A GENERALIZED INVERSE MHICH GIVES ALL THE INTFGP' SOLUTIONS TO A SYSTEM OF LINEAR EQUATIONS/ 0153

ON SOLVING SYSTEMS OF EQUATIONS USING INTERV-.. \RITHNETIC/ 0127 OF THE FIXED-POINT THEOREM FOR PSEUOOMETRIC ."PACES WITH INTERVAL ARITHMETIC/ APPLICATIONS 0003

INTERVAL ARIT'r t f l lC IN MATRIX COMPUTATIONS. PART 1 1 / 0128 OMATIC ERROR BOUNDS FOR REAL ROOTS CF POLYNOMIALS HAVING INTERVAL COEFFICIENTS/ AUT 0129

SOME ASPECTS OF SCALING INVARIANCE/ 0021 LINEAR TRANSFORMATIONS ON MATRICES. THE INVARIANCE 0»~ THE THlRO ELEMENTARY SYMMETRIC FUNCTION/ 0023

ORHATIONS UNDER WHICH THE DOUBLY STOCHASTIC MATRICES ARC INVARIANT/ LINEAR TRANSF 0274 PERTURBATION BOUNDS FOR MEANS OF EIGENVALUES ANO INVARIANT SUSSPACES/ 02*0

INVARIANTS OF A PAIR OF REAL QUADRATIC FORMS/ 02*9 REMARKS ON INVFRSE EIGENVALUE PROBLEMS/ 0263

NOTE ON A LEAST SQUARES INVERSE FOR A MATRIX/ 022C PROCESSES OF HIGHER OROER FOR THE ITERATIVE INCLUSION OF INVERSE MATRICES/ 00*6

AN EXTENSION OF THE GENERALIZED INVERSE OF A MATRIX/ JV.62 ON THE OETERMtNATION OF THE INVERSE OF A VANOERNO-tOE MATRIX/ 0 /59

AN ALTERNATIVE REPRESENTATION OF THE GENERALIZED INVERSE OF PARTITIONED MATRICES/ 0??; ON THE COMMUTING RECIPROCAL INVERSE OF SOME PARTITIONED MATRICES/ 0202

Of A CERTAIN APPROACH TO THE SOLUTION OF INVERSE PROBLEMS OF PROPER VALUES/ 3196 EH OF LINEAR EOUATIONS/ A GENERALIZED INVERSE WHICH GIVES ALL THE INTEGRAL SOLUTIONS TO A SVST 0153

ON SIGMA!Tl, NORM(TI. AM) NORNIT INVERSE)/ 00*9 ON THE CLASSIFICATION OF MATRIX GENERALIZED INVERSES/ 0110

SOME REMARKS ON EP* MATRICES AND GENERALIZED INVERSES/ 0218 GENERALIZED INVERSES ANO SOLUTIONS OF LINEAR SYSTEMS/ 0135 GENERALIZED INVERSES OF BLOCK TRIANGULAR MATRICES/ 0219

A NOTE ON THE GENERALIZED INVERSES OF SOME PARTITIONED MATRICES/ 0132 ON THE PRODUCT FORM OF INVERSES OF SPARSE MATRICES/ 02S8

SOME NEW GENERALIZED INVERSES iflTH SPECTRAL PROPERTIES/ OUT A NOTE ON THE MATRIX INVERSION BY THE PARTITIONING TECHNIQUE/ 0221

AN INVERSION METHOD FOR BAND MATRICES/ 03OT ON THE INVERSION CF A MATRIX OF RATIONAL FUNCTIONS/ 0O83

COMPLEX MATRIX INVERSION VERSUS REAL/ 0088 INVERTING MATRICES MITH ERROR BOUNDS/ 0004

ROOTS OF AN IRREDUCIBLE CONTINUANT/ 0 t36 THE MAXMAL EIGENVALUE ANO EIGENVECTOR OF A NONNEGATIVE IRREDUCIBLE MATRIX/ COMPUTING 0*24

PITFALLS IN COMPUTATION, OR WHY A PATH BOOK ISN'T ENOUGH/ 01>15 OH CERTAIN ITERATING PROCESSES FOR THE SYMMETRIZATION OF A MATRIX/ 0162

THE PARTITIONING OF NETWORK EQUATIONS FOR BLOCK ITERATION/ 0051 THE SOLUTION OF EQUATIONS BV ITERATION/ 0064 A NET HO) OF NORMALIZED BLOCK ITERATION/ 0066

NEWTON-LAGUERRE ITERATION/ 0076 REE-STAGE ALGORITHM FOR REAL POLYNOMIALS USING QUAORATIC ITERATION/ A TK 015*

ON SAMELSON'S ITERATION FOR FACTORING POLYNOMIALS/ 02BI IMPROVED WE*TON ITERATION FOR INTEGRAL ROOTS/ 0173

EST RATIONAL STARTING APPROXIMATIONS ANO IMPROVED NEWTON ITERATION FOR THF SQUARE ROOT/ B 0234 F A SYMMETRIC MATRIX/ A DIRECT ITERATION METHOD OF OBTAINING LATENT ROOTS ANO VECTORS 0 0157 CLASS K ANO THEIR APPLICATION TO THE CONVERGENCE RATE OF ITERATION PROCEDURES/ SOME RESULTS ON MATRICES OF 0102

DERIVATIVE-FREE ITERATION PROCESSES/ 0331 SOME CCMMENTS ON THE STABILITY OF ITERATION PROCESSES/ 0335

UNCTIONS ANO THEIR APPLICATION TO NONLINEAR GAUSS-SEIOEl ITERATIONS ANO TC NETWORK FLOWS/ ON M-F 0252 N ORTHOGONAL MATRIX/ AN ITERATIVE ALGORITHM FOR COMPUTING THE BEST FSTIHATE OF A 0034 RCF MATRICES/ MODIFICATION Of NESBET'S ALCORITH- FOR THE ITERATIVE EVALUATION OF EIGENVALUE! ANO EIGENVECTORS OF 0273

PROCESSES OF HIGHER ORDER FOR THE ITERATIVE INCLUSICN OF INVERSE MATRICES/ 0006 A LEAST SQUARES ITERATIVE METHOD FOR SINGULAR EOUATIONS/ 0290

S / AN ITERATIVE METHOD FOR THE SOLUTION OF SYSTEMS OF EQUATION 0235 SERIES-PARALLEL ITERATIVE METHODS/ 0257

FACTORIZATION AND NORMALIZED ITERATIVE METHODS/ 0313 S . / BLOCK ITERATIVE PETHOOS FOR CYCLICALLY REOUCEO MATRIX EQUATION 0123

SOME ITERATIVE METHODS FOR IMPROVING ORTHON0RHALITY/ 0177 ON ITERATIVE METHODS FOR SOLVING NONLINEAR SYSTEMS/ 0319

EIGENVALUE ANO EIGENVECTOR OF A NONSYMMETR1C MATRIX/ AN ITERATIVE PROCEDURE FOR THE CALCULATION OF THE LOWEST RF 0026 HATE FACTOR OF A POLYNOMIAL WITH REAL COEFFICIENTS BY AN ITERATIVE PROCESS/ ON IMPROVING AN APPROXI 0030 1 * 1 / A CONVERGENT ITERATIVE PROCESS FOR DETERMINING THE ZEROS OF A POLYNOM 0168 DOLUS ANO THE CORRESPONDING PROPER VECTORS/ ON A CERTAIN ITERATIVE PROCESS FOR THE DETERMINATION OF PROPER VALUES 0183

ON ACCELERATING THE CONVERGENCE OF COMPLEX ITERATIVE PROCESSES/ 0275 ITERATIVE PROCESSES ANO GENERAL EULER PROCESSES/ 0232 ITERATIVE PROCESSES FOR DETERMINING COMPLEX ZEROS/ 0178

A POSSIBILITY FOR ACCELERATING CONVERGENCE OF ITERATIVE PROCESSES FOR PARTICULAR NOMA.INEAR PROBLEMS/ 0038 ON THE QUAORATIC CONVERGENCE OF THE SPECIAL CYCLIC JAC0B1 METHCJ/ 3170

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ON LINEAR INEQUALITIES IN COMPLEX APPROXIMATION OF GIVEN RANK IN MATRIX

METRIC PROBLEMS IN THE METRIC PROPERTIES OF UNITARY

APPLICATIONS OF THE FIXED-POINT THEOREM FOR PSEUDOMFTRIC TIUN OF A SYSTEM OF SiHULTANEOUS LINEAR EQUATIONS MITH A

SOME RESULTS UN ON THE PRODUCT FORM OF INVERSES OF

COMPUTATIONS MITH THE CONVERGENCE OF AN ALGORITHM FOR SOLVING

AN INVESTIGATION OF THE SOLUTION OF ECRER MATRICES* COMPUTER IMPLENEHTiTION, ANO GENERALIZED THE REGULARITY OF MATRICES ANO THE LOCALIZATION Of THEIR

SOME MEM GENERALIZED INVERSES WITH NcSTEO BOUNDS FOR THE NESTEO BOUNDS FOR Tfc

EMENT OF THE REGION OF THE LOCATIOft OF THE POINTS OF 'HE TKMART VALVES OF A FOURTH-DECREE POLYNOMIAL 3N THE UNIT MINIMUM OF A POSITIVE OCFINITE QUADRATIC POLYNOMIAL ON A

1NG APPROXIMATIONS AMD IMPROVED NEHTON ITERATION FOR THE OPTIMIZATION BY LEAST

NOTE ON A LEAST A LEAST

A REM METHOD FOR MINIMIZING A SUN OF UPPER BOUNDS FOR THE ABSCISSA OF

MONITORING THE NUMERICAL SORT COMMENTS ON THE

A CONSTRICTIVE METHOD FOR THE SOLUTION OF THE

ON FOR TMf AQSC'SSA OF STABILITY OF A

NIT SPHERE/ ON THE T TO LINEAR CONSTRAINTS/

9m AN ALGORITHM OF LAGVERRE UTILIZING THE METMOO OF ON THE CHARACTERISTIC ROOTS OF

SIGMAITI. NORNITI, ANO NORMtT INVERSE!/ 3 9 6 9 S U V A / O U t SIMILARITY OF A FINITE NAIRIX A ANO A*/ 0286. SIMULTANEOUS OIAGDNALIZATION OF SYMMETRIC BILINEAR FORMS 3332 SIMULTANEOUS EQUATIONS/ J1H7 SIMULTANEOUS LINEAR EQUATIONS MlTn A SPARSE COEFFICIENT 9 2 8 9 SIMULTANEOUS NEMTON IMPROVEMENT OF 4 COMPLETE SET OF APP 0116 SINGLE-RANK QUASI-NENTON METHQOS/ 0 0 5 0 SINGULA* FC'JAMOtfS/ 0 2 9 0 SINGULAR SYSTEM CF LINEAR EQUATIONS AND ITS APP1ICATIONS 3 2 8 * SINGULAR VALUES/ 0 3 0 0 SINGULAR VALUES OF A PRODUCT OF NAM ICES/ 0 3 2 5 SKE*-SYHMET«IC MATRICES/ 3 2 * 0 SMALLEST ISOLATEC GERSCHGORIN OISKS FOR EIGENVALUES/ 0 3 1 * SMITH CONCERNING 3FST ISOLATEO &E1SC4G0K1N DISKS/ 0 2 1 * SOLUTION OF A SYSTEM OF LINEAR EQUATIONS BY THE NFTHOD O 0271 SOLUTION Of A SYSTEM OF SIMULTANEOUS LINEAR EQUATIONS Ml 0 2 8 9 SOLUTION OF ARBITRARY SYSTEMS OF LINEAR EQUATIONS/ 01T6 "SOLUTION OF CERTAIN TRIOFA&ONAL SYSTEMS OF LINEAR EOUAT I 3012 SO'.JTION OF EQUATIONS BY ITERATION/ 0064 SOLUTION OF INVERSE PROBLEMS OF PROPER VALUES/ 4 1 8 6 SOLUTION OF LINEAR ALGES' A!C SYSTEMS/ 3104 SOLUTION OF LINEAR ALGEBRAIC SYSTEMS/ 0 3 ? l SOLUTION Of Li*FAft AL&?A*AIC SYSTEMS UlTH RECTANGULAR MA 0093 SOLUTION OF LINEAR MATRIX EQUATIONS/ 0 1 * 9 SOLUTION OF NONVINEAR SYSTFMS/ 0 0 * 6 SOLUTION OF NONLINEAR SYSTEMS OF EQUATIONS/ EXPRESSIONS 0175 SOLUTION OF PLANE ELASTICITY PROBLEMS./ 0118 SOLUTION Oc QUADRATIC OPERATOR EQUATIONS/ 0195 SOLUTION OF SPARSE SYSTEMS OF EOU.TIONS/ 3091 SOLUTION OF SYSTEMS OF EQUATIONS/ 0235 SOLUTION OF SYSTEMS OF LINEAR EQUATIJNS/ 0168 SOLUTION OF SYSTEMS MITH SEVERAL RIGHT-HANO SIDES/ 0322 SOLUTION I F THE EIGENVALUE PROBLEN/ 0 2 3 7 SOLUTION OF THE GENERALIZED LATENT VALUE PROBLEM FOR LAM 0 1 8 5 SOLUTION OF THE MATRIX EQUATIONS AX • XB • -O AND STX * 0230 SOLUTION OF THE STABILITY PROBLEM/ 0 1 5 ? SOLUTION OF TRIO IAGONAL LINEAR EQUATIONS/ 0231 SOLUTION OF TNO SIMULTANEOUS EQUATIONS/ 0 1 8 7 SOLUTION OF VANOERNONOE SYSTEMS Jt EQUATIONS/ 0035 SOLUTIONS OF A NONLINEAR SYSTEM/ 0049 SOLUTIONS OF LINEAR SYSTEMS/ 0135 SOLUTIONS TO A SYSTEM OF LINEAR EQUATIONS/ 0153 SOLVING/ 0193 SOLVING A SINGULAR SYSTEM OF LINEAR EQUATIONS ANO ITS AP 0 2 8 * SOLVING A SPECIAL CLASS OF TRIOIAGOHAL SYSTEMS OF L1MFAR 0258 SOLVING ELLIPTIC DIFFERENCE EQUATIONS/ 0O?9 SOLVING NONLINEAR SYSTEMS/ 009S SOLVING NONLINEAR SYSTEMS/ 0319 SOLVING POLYNOMIAL EQUATION/ C155 SOLVING POLYNOMIAL EQUATIONS/ 0139 SOLVING SPARSE NONLINEAR SYSTEMS/ 0 0 5 1 SOLVING SYSTEMS OF EQUATIONS USINS INTERVAL ARITHMETIC/ 0127 SOLVING SYSTEMS CF LINEAR ALGEBRAIC EQUATIONS/ O i l * SPACE/ 0 1 6 * SPACE/ 0 2 0 4 SPACE OF MATRICES/ 0 1 0 1 SPACES/ 0C09 SPACES WITH INTERVAL ARITHMETIC/ 0 0 0 3 SPARSE COEFFICIFNT MATRIX BY ELIMINATION METHODS/ SOLU 0289 SPARSE MATRICES/ 0 0 4 2 SPARSE MATRICES/ 32BS SPARSE MATRICES/ 0 2 9 1 SPARSE NONLINEAR SYSTEMS/ 0051 SPARSE SYSTEMS OF EQUATIONS/ 0091 SPECTRA/ KRON 0010 SPECTRA/ JN SORE CRITERIA FOR 0073 SPECTRAL PROPERTIES/ 0 1 1 7 >r£ v r«AL R*OIUS/ 0 1 2 5 SPECTRAL RAOIUS/ 0 2 0 9 SPECTRUM OF A MATRIX/ REFIN 0071 SPHERE/ ON THE STA 0 2 ? * SPHERE ARE CONVEX FUNCTIONS OF THF RAOIUS/ THE MAXIMUM A 0 1 0 * SPLITTING CERTAIN EIGENVALUE - EIGENVECTOR PROBLEMS/ 0 2 * 6 SQUARE MATRICES NITH VECTORIAL BASES/ 02*1 SQUARE ROOT/ BEST RATIONAL START 0 2 9 9 SQUARES/ 0227 SQUARES INVERSE FOR A MATRIX/ 0 2 2 0 SQUARES 'TERATIVE METHOD FOR SINGULAR EQUATIONS/ 0 2 * 0 SQUARES RITHOUT CALCULATING GRADIENTS/ 0 2 * 2 STARIL I T / OF A STABLE POLYNOMIAL/ 0 1 3 8 STABILITY OF GAUSSIAN ELIMINATION/ 0 0 9 3 STABILITY OF ITERATION PROCESSES/ 0 ) 9 5 STABILITT PROBLEM/ 0 1 5 2 STABILIZATION BY A 01AGONAL MATRIX' 0 0 1 * STABLE EVALUATION OF POLYNOMIALS/ 0 2 1 * ST ABLE MATRICES/ "SfS STABLE POLYNOMIAL/ 0 1 3 * STATIONARY VALUES OF A FOURTN-OEGREE POLYNOMIAL ON THE U 0 2 2 * STATIONARY VALUES OF THE RATIO OF QUADRATIC FORMS SUBJEC 3 1 1 2 STEPS/ 0 1 : 9 STOCHASTIC MATRICES/ 00*1

i

i

39

AN ESTIMATE OF THE NONTRlVIAL EIGENVALUES OF EXTREME POINTS Of SYMMETRIC

LINEAR TRANSFORMATIONS UNDER K H U H T>< 0OU3LV ON SETS 0.- CORTEGES Of CHARACTERISTIC ROOTS Of

. SCHAEFER AN ESTIMATE OF THF \ 0 * T » I V I A I EIGENVALUES OF ON MATRICES WITH A DOUBLY

ON AN EXPOSEO ELEMENT Of * SET CF 0OU«LV HARACTFRISTIC ROOTS Of STOCHASTIC MATRICES OF S E * I S I « P L E

ON SOLUTION OF THF MATRIX EQUATIONS AX • XB • - 0 ANO STATIONARY VALUED OF THF RATIO Cf QUADRATIC F.TRNS

FUNLTIONS OF PARTITIONED MATRICES WITH NONDI AGONAL 12ABLE * INOFPENOFNCE OF Tt-E EIGENVALUF • OF CIFFERENT PRINCIPAL E S / PRINCIPAL

PRINCIPAL * DIFFERENT PRINCIPAL SUBNATRI ' S / PRINCffAL NCIPAL SU«MATRICFS. V , SO-F RESULTS CO.\CERNING PRINCIPAL U A L I T I E S / PRINCIPAL RICFS Of ARBITRARY MATRICFS/ PRINCIPAL TH EQUAL PRINCIPAL PINQRS/ PRINCIPAL RTURBATt'ON BOUNOS FCR MEANS OF EIGENVALUES AND INVARIANT

REMARKS CN DOUBLY OLUTIOK OF A SYSTEM Cf LINEAR EOUATIONS BY THE METHOD OF L I C I T METHODS/ ON VARIANTS OF OOS USING C H E M V S H E V PQLYNCSIALS/ A COMPARISON OF THE

CONVERGENCE PROPERTIES Of THE SYMMETRIC ANO UNSYMJCETRIC 0R0ERING5 Of THE

P-CYCLIC MATRICES, A GENERALIZATION Of THE YCUNG-fRAHKEL A NEW NETMOO FOR M I N I M I Z I N G A

BOUNOS FOR HORNER ON CERTAIN ALGORITHMS OF LINEAR COMPUTATION U T I L I Z I N G

OOS ANO RELATED METHODS/ CONVERGENCE PROPERTIES OF THE SIMULTANEOUS DIAGONAL I / A T I O N C f

INVARIAfcCE Of THE THlRO ELEMENTARY A NCTE ON P E N C l i i Cf KFRP.T IAN OR

SOME INEQUALITIES FOR POSIT IVE D E F I N I T E AKOBOOK SERIES LINEAR ALGEBRA. THE QR ALGORITHM FOR BAND

THE DIMENSIONS OF THE CONVERGENCE CF THE CLASSICAL JACOBI METHOO FOR REAL

RATION MET MOO OF OBTAINING LATENT ROOTS ANO VECTORS OF '. R VALUES ANO VECTORS/ THF PROBLEM OF NORMALIZING A GIVEN ECT COMPUTATION OF THE COMPONENTS Of PROPER VECTJRS Of A

EXTREME POINTS Of FT Of O R I G I N / THE QR ALGORITHM fOR

ON CERTAIN ITERATING PROCESSES FOR THE THE ALGORITHM fOR SHIFTING THE ZEROS Of A POLYNOMIAL AY

IONS ON MATRICES, THE

THE PAOE ON A PROBLEM Of 0 .

REPRESENTING A COMMUTING PAIR BY SOME INCLUSION

GERSCHGORIN TYPE SOME NEK

R I C E S / CERSGORIN THEOREMS, REGULARITY TS Of PARTITIONED MATRICFS/ GERSGORIN

MORE ON LINEAR INEQUALITIES Ml »H APPLICATIONS TO MATRIX GENERALIZATIONS OF A KELL-KNCNN RESULT I N MATRIX

ON THE A CHAPTER FROM THE

SOME APPLICATICKS Of THE GEOMETRIC

INEAR TRANSFORMATIONS ON MATRICESt THE INVARIANCE Of THE IC ITERATION/ A

A SEMIGROUP Of APTIVE METHODS Of SEPARATING REAL ROOTS Of ALGEBRAIC ANO

MULTIGRAOIENTS ANO THE ZEROS OF ANALYTIC FUNCTIONS Of F I N I T F 01MENS IONAL LINEAR

A NOTE ON EP LINEAR AN EIGENVALUE ALGORITHM BASED CN NORM-REDUCING

A NOTE ON EIGENVALUES Of NORMAL ELEMENTAAV SYMMETRIC fUNCTION/ LINEAR

BRAIC PROBLEM I f PERTURBATION/ APPLICATION Of ORTHOGONAL ES AAf INVARIANT/ LINEAR E NPXIHUM-RANK HININUN-TERP-RANK THEOREM FOR THE PIVOTAL

L I N ' S PENULTIMATE REMAINDERING UNDER A UNITARY RELATION BETWEEN A MATRIX ANO ITS

E AFPRESENTABI I ITY Of A MATRIX AS THE PRODUCT Of A LOWER GENERAL IZFO INVERSES Of BLOCK

MATRIX AS THE PROOUCT 'Jf A LONER TRIANGULAR ANO AN UPPER . EIGENVECTORS Of R F - l uNO C O P P ^ X MATRICES BY LA ANO QR

E*RC« PROPAGATION I N THE SOLUTION Of .TN STLRM SEOUENCES fOR

I N / THE CR ALGORITHM FOR SYMMETRIC AN ALTERNATIVE METHOD Of SOLUTION Of CERTAIN

AN ALGORITHM FOR SOL VIMS A SPECIAL CLASS Of T-ALGORITHM FOR

I X COMPOSITION/ ALGORITHMS I N OVER- ANO

F A POLYNOMIAL BY DETERMINING THE NUMBER OF ROOTS I N THE E STATIONARY VALUCS Of A FOURTH-OEGRFf POLYNOMIAL ON THE

GEPMfTRIC THEORY Of THE SOME RESULTS ON

A METRIC PROPERTIES Of

STOCHASTIC MATRICES/ 026* STOCHASTIC MATRICES/ 032* STOCHXSTIC MATRICES ARC INVARIANT/ 0?T* STOCHASTIC MATRICES Of SEMISIMPLE STRUCTURE/ 0052 STOCHASTIC MATRICES / A REMARK ON THE PAPER Of H. H 00 3 STOCHASTIC PATTF3N/ 020O STOCHASTIC RECTANGULAR MATRICES/ 0060 STRJCTUPE/ ON SETS OF CORTEGES OF C 005C STURM SEOUENCES FOR TRID IAGONAL MATRICES/ G236 STX • XS « -Q/ 0230 SUBJECT TO LINEAR CONSTRAINTS/ 0112 SUNMATRICES/ ON 0701 SUSMATRICES/ PRINCIPAL SUBNATRICES IV. OK TH 0;4T SU%MA\RICES I!, THE UPPER ANO 10MER QUADRATIC INEQUALITI 0301 SURMATRICES III* LINEAR INEQUALITIES/ 029* SUBMATRICES IV. CN THE IN0EPENC3NCE Of THE EIGENVALUES O 0297 SUBMATRICES OF ARBITRARY MATRICES/ PR! 0245 SUBMATRICES VI. CASES OF EQUALITY IN CERTAIN LINEAR INFO 0248 SUBMATRICES. V, SOME RESULTS CONCERNING PRINCIPAL SUBMAT 0295 SUBMATRICES. VII. FURTHER RESULT* CONCERNING MATRICES Ml 0296 SUBSPACES/ PE 0260 SUBSTOCHASTIC RECTANGULAR MATRICES/ 0061 SUCCESSIVE BASES/ S 0?TI SUCCESSIVE Qycoocj.jajyjQjj jyjD ALTERNATING DIRECT ION. INP 031* S U C C E S S I V E O V E R R E L A X A T I O N M E T H O D A N ; S E M - I T E R A T J V E N E T H 0 3 0 9 S U C C E S S I V E O V E R R E L A X A T I O N M E T H O D S A I D R F L A T E D M E T H O D S / 0 3 3 * S U C C E S S I V F O V F R R F L A X A T I O N S C H E M E / 0 3 1 0 S U C C E S S I V E O V E J R E L A X A T I O N S C H E M E / 0 3 1 1 S U M OF S Q U A R E S W I T H O U T C A L C U L A T I N G G R A D I E N T S / 0 2 * 2 SUMS/ 0 2 5 0 iUNS OF MATRICES OF LOW RANK/ 0 0 8 * SYMMETRIC ANO UNSVHHETRT'-. SUCCESSIVE OVERRELAXATION NETH 0 3 3 * STNMETRIC BILINEAR FORKS/ 0 3 3 2 SYMMETRIC FUNCTION/ LINEAR TRAMSFORNAT 0 0 2 3 SYMMETRIC MATRICES/ 0 0 2 9 SYMMETRIC MATRICES/ 0206 SYMMETRIC MATRICES/ H 0 2 1 3 SYMMETRIC MATRICES WITH A GIVEN MINIMUM POLYNOMIAL/ 002T SYMMETRIC MATRICES MITH NON-01ST INCT EIGENVALUES/ ON 0 1 6 9 SYMMETRIC MATRIX/ A DIRECT ITE 015? SYMMETRIC MATRIX FOR T H E APPLICATION OF THE METHOD OF JA 0 3 0 3 SYMMETRIC MATRIX M. COMPUTATION BY RECURRENCE OF THE ELE 3 2 6 2 SYMMETRIC STOCHASTIC MATRICES/ 0 3 2 6 SYMMETRIC TRIOIAGCNAL MATRICES USING A S E M I - I M P L l C I T SHI 0 0 3 7 SYMMETRIZATIOTi OF A MATRIX/ 0 1 8 2 SYNTHETIC D I V I S I O N / ERRG* ANALYSIS OF 0 2 8 2 T-ALGORITHM FOR TRIO!AGONALIZATION/ 0323 TABLE. THE FROSENIUS I D E N T I T I E S , ANO THE 00 ALGORITHM/ 0 1 * 7 TAUSSKV/ 0 1 9 7 TENSOR PRODUCTS/ 0075 THEOREMS FOR MATRIX PROBLEMS/ 0 0 6 3 THEOREMS FOR PARTITIONED MATRICES/ 0 1 9 9 THEOREMS ON MATRICES AND THEIR ANALYTIC FUNCTIONS/ O l i l THEOREMS, ANO BOUNOS fOR DETERMINANTS Of PARTITIONED NAT 0 0 * 3 THEOREMS, REGULARITY THEOREMS, ANO BOUNOS FOR DETtRMINAN 0 C * 3 THEORY/ 0 0 2 8 THEORY/ 0 2 9 3 THEORY O f F I N I T E HAtR ICES/ 0 2 0 3 THEORY OF LINEAR SYSTEMS OF EQUATIONS/ 0 0 3 9 THEORY OF NORMS/ 0 1 * 1 THEORY Of THE UNITARY EQUIVALENCE OF MATRICES/ 0 1 6 9 THIRD ELEMENTARY SYMMETRIC FUNCTION/ L 0 0 2 3 THREE-STAGE ALGORITHM FOR R Z A L POLYNOMIALS USING QUAORAT 0 1 5 6 TOTALLY NONNEGATIVE MATRICES/ 0 2 1 1 TRANSCENDENTAL EQUATIONS/ AD 0 2 7 2 TRANSCENDENTAL FUNCTIONS/ 0 1 * 8 TRANSFORMATIONS/ 0 0 0 1 TRANSFORMATIONS/ 0 0 8 6 TRANSFORMATIONS/ 0 2 3 4 TRANSFORMATIONS/ C306 TRANSFORMATIONS ON MATRICES. THE INVARIANCE OF THE THIRD 0 0 2 3 TRANSFORMATIONS TO THE NUMERICAL REALIZATION O f A LINEAR 0 1 8 6 TRANSFORMATIONS UNDER WHICH THE DOUBLY STOCHASTIC MATRIC 0 2 7 6 TRANSFORMS OF A MATRIX/ TH 0 1 5 6 TRANSLATION/ 0 2 1 * TRANSPOSE/ 0 1 1 3 TRIANGULAR AND AN UPPER TRIANGULAR MATRIX / CRITERIA FOR < U 7 * TRIANGULAR MATRICES/ 0 2 1 9 TRIANGULAR MATRICES ANO THE CAVLEV-MAHIlTCM THEOREM/ 0 0 1 8 TRIANGULAR MATRIX/ CRITERIA FOR THE REPRESENTABILITY OF 0 1 7 6 TRIANGULAR 12AT IONS/ HAN0600X SERIES LINEAR ALGEBRA 0 2 * 3 TRID IAGONAL LINEAR EQUATIONS/ 0 2 3 1 TRIOIAGONAL MATRICES/ 0 2 3 6 TRIOIAGONAL MATRICES USING A S f M I - I M P L I C ! T SHIFT OF 0R1G 0 0 3 1 TRIO IAGONAL SYSTEMS OF LINEAR EOUATIONS/ 0 0 1 2 TRIO IAGONAL SYSTEMS OF LINEAR EQUATIONS/ 0 2 5 8 T R I O U G O N A L I Z A T I C N / 0 3 2 3 UN-NTMMALIZEO ARITHMETIC, POLYNOMIAL EVALUATION ANO MAT* 0 2 1 7 UNOER-RFlAXATION FOR SYSTEMS Of LINEAR EQUATIONS/ 0 2 3 3 UNIT C I R C L E / ON THE SEPARATION OF ALL ROOTS G 0 3 0 * UNIT SPHERE/ ON TM 0 2 2 6 UNITARY EQUIVALENCE CF MATRICES/ 0 1 * 0 UNITARY MATRIX GROUPS/ 0 2 0 ? UNITARY RELATION BETWEEN A MATRIX ANO ITS TRANSPOSE/ 0 1 1 3 UNITARY SPACES/ 0 0 0 9

40

n MFTHODS/ CONVERGENC: PBQPERTIES OF THF SYMMETRIC AND PR INT I PAL SUMATRICES i l . THE

ON \ri( DETERMINATION OF THt

LINEAR ALGEBTAlC SYSTEMS/ RECTION. I M P I I C I T METHODS/

OLVNOMIAL/ OF A MATR'X AS THE PRODUCT OF A L O N < R TRIANGULA* AND AN

A THf I PROPERTY FOR SINGULAR

N APPROACH TO THE SOLUTION OF INVERSE PROBLEMS CF PROPER OF Tilt M F T H C O OF J AC Oft! OR OF GIVEttS FOP FINOIAG PROPE*

IMPROVEMENT OF BOUMOS FC« PROPER I ' . i LUS ICN CF PROPER

ON THE INCLUSION CF PROPFR Oh COMPUTING GENERAL IZEO CMAilACTFRISTIC VECTORS ANO

OX THE STATIONARY PO*ER-SCUfcOEONFSS 4NO THE F t ELD OF

ON THc AREA CF THF F I E l C ' F ON THE SINGULAR

A THEORFN CN PROPER ON THF PROPER

ERTAIH ITERATIVE PROCESS FOR THE DETERMINATION t f PROPER CONSTRAINTS/ STATIONARY

INVERSE Of * SOLUTION OF

ON A BLOCK CN

SObARE MATRICES rttTH I N THE NCT10N 05 WEAK CONTRACTION RELATIVE TO A

CN PER VALUES OF SHALL MODULUS ANO THf CORRESPONDING PROPER HOO OF JACOBI OR I * G'VENS FOR F INDING PROPER VALUES ANO

CN COMPUTING GENERALIZED CHARACTERISTIC A DIRECT ITERATION MFTMOC OF OBTAINING LATENT ROOTS AND

FRS OF ml DIRECT COMPUTATION OF THE COMPONENTS CF PROPER IMPROVEMENT OF SOUNDS FOR PROPER VALUES ANO

COMPLEX MATRIX INVERSION ON THE NOTION OF

GENERALIZATIONS Of A PITFALLS i N COMPUTATION, 0 *

R ANALYSIS OF ALGORITHMS FOR MATRIX MULTIPLICATION USING SOLUTION o r THE MATRIX EQUATIONS AX •

SOLUTION OF THF * A T * t 4 {"OVATIONS AX * XB • -Q AMO STX • P-CYCLIC MATRICES, A GENERAL12AT ICN OF THE

ITERATIVE PROCESSES FOR DETERMINING COMPLEX LOCATION l l f

A CONVERGENT ITERATIVE PROCESS FOR DETERMINING THE ERROR RCUNOS f J *

ERROR ANALYSIS OF THE ALGORITHM FOR SHIFTING TH£ DIRECT METHODS FOR COMPUTING

THE CALCULATION OF NULT1GRADIENTS ANO THE

IWtSVWMFTRIC SUCCESSIVE OVERRELAXATl »•» ^ THOOS AND RELATE 0 3 ) 4 '-.•PER ANO i;Hf*R QUADRATIC I N F Q U A L l T I F S / 0 ) 0 1 IPPER BOUNCE FOR RC1TS OF POLYNOMIALS/ 02»T

UPPER ROUNDS FOR THE ABSCISSA Of STABIL ITY OF A STABLE P > ! ) » UPPER TRIANGULAR MATRIX/ C R I T E R I A F0-* |HE RE*RESENTABIL I 'JIT> USEFUL CENERA1 ( Z A T I O * OF THE P I O I MATRIX CONCEPT/ 0 3 3 0 VALUES/ U300 VALUCS/ u » A CE1TAI 0186 VALUES ANT VECTORS/ TwE PROBLEM OF I I R H A L I Z I N C A GIVEN S 0 ) 0 ) VALJ5S ANO VECTORS O MATRICES/ 0179 VALUES <V LORE N T / COMES/ 00<>0 VALUrS BY MEANS CF G1ASCHG0RIN C IRCLES/ 0 0 8 9 VALUES *0R A RECTANGULAR MATRIX / 0 0 0 8 VALUlJ OF A FCURTH-DFJREE POLVNOMiAL ON THE UNIT SPHERb/ 3 7 2 6 VALUES OF A MATRIX/ 0 1 0 ) VALUES Of A MATRIX/ 01?? VALUES OF A PRODUCT OJ- MATRICES/ 03>5 VALUES OF MATRICES/ 0 1 8 0 VALUES OF NEIGKBCRING P4IRS OF NORMAL MATRICES/ D0-»7 VALUES >F SMALL MOOUIUS ANO THE CORRESPONDING PROPER VFC 0 1 8 3 VALUES OF THE PATIO OF QUADRATIC FORMS SUBJECT TO LINEAR 0 1 1 2 VANOERHONOE MATRIX/ 0 2 5 9 VANOERWJNOE SYSTEMS OF EQUATIONS/ 0 0 ) 5 VARIANT OF THE METHOD OF REFLECTION FOR THF SOLUTION OF 0 3 2 1 VARIANTS OF SUCCESSIVE OVERRCLAXATION ANO ALTERNATING 0 1 0 3 1 * VECTORIAL 9ASES/ 0 2 6 1 VECTORIAL NORM/ 0 2 5 6 VECTORIAL NORNJ ANO PSEUCONORMS/ 0 0 7 9 VECTORS/ OK A C E R ' A I N ITERATIVE PROCESS FOR THF 0FTER1IN 0 1 8 ) VECTORS/ TME PROBLEM Of NORMALIZING A GIVEN SYMMETRIC HA 0 3 0 ) VECTORS ANO VALUES FOR A RECTANGULAR MATRIX/ 0 0 0 9 VECTORS OF A SYMMETRIC MATRIX / 0 1 5 7 VECTORS OF A SYMMETRIC MATRIX M . COMPUTATION BV RECURREN 0 2 6 2 VECTORS OF MATRICES/ M T 9 VERSUS REAL/ 0 0 8 8 MEAF CONTRACTION RELATIVE TO A VECTORIAL NORN/ 0 2 5 6 M E L L - K N O N N RFSUL' I N MATRIX THEORY/ 0 2 9 ) WHY A MATH BOOK I S N ' T ENOUGH/ 0 1 0 5 rflNOGRAO'S I D E N T I T Y / ERRO 0 0 4 5 'ft • - 0 AN5 STX • XS » - 0 / 0 2 ) 0 XS « ~(ll 0 2 3 0 VOUNC-FRAHKEL SUCCESSIVE OVERRELAXATION SCHEME/ 0 3 1 1 ZEROS/ 0 1 7 8 ZEROS OF A COMPLEX POLYNOMIAL/ 0 0 1 9 ZEROS Of A POLYNOMIAL/ 0 1 6 8 ZEROS OF A POLYNOMIAL BASEO UPON GERSCHGORIN'S THEOREM/ 0 2 7 9 ZEROS OF A POLYNOMIAL "V SYNTHETIC 0 ! V I S I O N / 028? ZEROS OF POLYNOMIALS/ 0 0 2 2 :<r:ROS OF PaVNOH IALS ANO ANALYTIC FUNCTIONS/ 0 3 0 5 ZEROS OF TRANSCENOENTAL FUNCTIONS/ O U R

END KMIC-INDEX

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43

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0013 ON THE DEGREE OF THE MINIMAL POLYNOMIAL OF A COMMUTATOR OPERATOR A L I , M. S. • MARCUS* H. PACIFIC J . MATH. 37* 5 *1 -5 (1971) (ZBL. 195* 323) IRZ 1972* 3A346)

0016 ON SQUARING PATRICES ANO GENERALIZED INVERSES AHOURGEV, J . K. • ftOULLti*** T . L. • LEWIS, T . 0 . INDUST. MATH. 20* 3 3 - 5 * (1970) INK 43 . 228)

0015 EXTREME PROPERTIES OF LINEAR YRANSFDONATIONS ANO GEOMETRY I N UNITARY 'PACES AMIR-MOEI* A . R. HATH. SERIES. NO.2 AND 7 . LUnssXK* TEXAS* OEPT. OF MATHEMATICS* TEXAS TECH. ' H I V . IX • 326 PP. (1*711 (ZBL. 2 2 1 , 1211

0016 TME SUBPOLAR FORM OF A LINEAR TRANSFORMATION AMIR-MOEZ, A. R. • OONNELL* M. A. • PEARY* C. R. POOL. ELEkTROTEHN. FAR. UNIV. OEOflRAO. SER. NAT. I F I Z . NO. 338-52* 53-54 11971? INR 4 4 * 1677) (RZ 1*72* 16618) ( Z B l . 224. 15025)

0017 EXTREME PROPERTIES OF PROPER VALUES OF UNITARY TAANSFORMATIONS AMIR-MOEZ, A. R. • KEY TON, N. E. • MCNATt.. J, S . UNIV. 8EOGRA0E* PUBL. ELEKTNOTfMN. F IR . Skrt. NAT. I F I Z . NO. 302-19* 19-74 (1*701 IRZ 1 9 7 1 , 5A3*C IZBL. 2 1 1 * 3421 (MR 44* 2301

0** .* REMARKS ON THEOREMS OF THOMPSON AND FREEOE AMIR-MOEZ, A. R. • PfRRV. C . ft. BULL. AUSTRAL. HATH. SOC. 5* 2 2 1 - * 11*711 I Z B l . 217. 3361 IRZ 1972, 2*484!

0 0 1 * SNORTED OPERATORS ANDERSON* M. N.» J * . SIAM J, APPL. MATH. 20* 520-5 (1971) IRZ 1971* 11A364I IZBL. 217 , •5)

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0 0 2 0 ON AN I T F R A T I V t METHOD FOR SOlVlNE ALGEfcRMC ANO TRANSCENOENTAL EQUATIONS A?ITMANOVA. •». A. • ARAVALIEV, F . A . » S A I F U L I U , V . C . TAMlEMT. POl lTCMN. I R C I . NAUEN. TRUDY. W P . 6 7 , 8 5 - 9 11970 ) 1*2 1 « 7 1 . 5 8 1 0 0 0 1 (RUSSIAN!

0 0 2 1 CK MATRICES CEPENDING UPON A PARAMFTER A R N C l ' D . V . I . USI-CHI N A T . totUR 26 121 1 0 1 - 1 4 ( 1 9 7 1 1 (RZ 1 9 7 1 . 7 * * 1 7 ) CRUSSIAN)

0 0 2 2 F XT ( M S , ON nF SAIRSTCM'S METHOD FOR NULTIPLF QUADRATIC FACTORS ARTHUR. O . M. J. I N S T . MATH. A P P l . 9 , 1 9 4 - 7 1 1 4 7 2 )

0 0 2 ) REDUCTION OF A POSIT IVE MATRIX T3 A QUASISTOCHASTIC MATRIX BY A NETMOO OF S I M I L A R I T Y TRANSFORMATIONS VAN AT. F . Z . VYCISL . MAT. I MAT. F I Z . 1 1 , 1 5 6 3 - T ( 1 9 7 1 1 1*7 1 9 7 2 , 4 A 4 2 9 I (RUSSIAN)

0 0 2 4 ON CONDITIONS ON X SUCH THAT XAX IS HERMIT IAN AU-VEUWG. V . H . YOKOHAMA MATH. J . I t , 9 - 1 4 ( 1 9 7 0 1 (MR 4 9 , 2 5 * 1 ( 2 N L . 2 1 9 , 1 0 7 1

»??? CSS MATSICcS ariuSr MMfTRIV IAL REAL LINEAR COMBINATIONS ARE KONSINGV.A? AU-VEUNG. Y . H . PROC. A'«cR. MATH. SOC. 2 9 , 1 7 - 2 2 11971) (MR 4 3 . 2 4 1 1 I Z B l . 2 1 7 . 2 3 4 1

(102* SOME THEOREMS PN SIMULTANEOUS D I AGOWl IZAT ION OF TWO HERHITIAN BILINEAR FUNCTIONS AU-YEUMG, Y . H . GLASNIK MAT. SER. l i t * . 3 - S ( 1 9 7 1 1 (RZ 1 9 7 2 , 2 A 5 0 S I I Z B L . 2 2 7 , 1SO06)

• 0 2 7 A NOTE ON SOME THEOREMS ON SIMULTANEOUS 0 1 AGONAL I Z A T I ON OF THC HERHITIAN MATRICES A U - V E l M C , V . H . RROC. CAMSRIOGE P H I L . SOC. 7 0 . 3 8 3 - 6 ( 1 9 7 1 1 (RZ 1 9 7 2 , 4 A 4 2 2 ) ( Z B L . 2 2 6 . 1 5 O P * I

002B NUMERICAL STABIL ITY I N PROBLEMS OF LINEAR ALGEBRA BABUSKA, I . S IAH J . NUHER. ANAL. 9 , 5 3 - 7 7 ( 1 9 7 2 1

0 0 2 9 ON STABLE COMPUTATION OF THE VALUES OF A POLYNOMIAL BAHVALOV, N . S . Z . W C I S L . MAT. I MAT. F 1 Z . 1 1 . 1 5 6 8 - 7 4 ( 1 9 7 1 1 (RUSSIAN)

0 0 3 0 THE HURMITZ CONDITIONS B A I E R . 0 . Z . ANCfc'J. HATH. MECH. 2 8 . 1 5 3 - 7 ( 1 9 4 8 ) (MR 9 , 301 (GERMAN)

0 0 3 1 ON A METHOD FOR CIMPUTING COMPLEX SOLUTIONS OF SYSTEMS OF LINEAR EQUATIONS BARAMOV. A . V . Z . VYCISL . MAT. I » A T . F I Z . 1 2 , 1 9 9 - 2 0 3 1 1 9 7 2 1 IRZ 1 9 7 1 , SB 10181 (RUSSIAN)

C032 MONOTONE NflKHS BARKER, G. P . NUMER. HATH. 1 8 - 3 2 1 - 6 ( 1 9 7 2 1 I Z B L . 2 2 9 . 1 5 0 1 3 )

0 0 3 3 GREATEST COMMON DIVISORS OF SEVERAL POLYNOMIALS BAPNETT, S . PROC. CAHBRIOGE P H I L . SOC. 7 0 , 2 6 3 - 8 ( 1 9 7 1 1 ( Z B l . 2 2 4 , 1 5 0 1 8 )

0 0 3 6 I MEN FORMULATION OF THE LlENARO-CHIr i tST STABIL ITY CRITERION BARNETT, S . PROC. CAMBRIDGE P H I L . SOC. 7 0 , 2 6 9 - 7 4 119711 I Z B L . 2 2 4 , 1 5 0 1 9 1

0 0 3 5 A NEN FORMULATlm OF THE THEOREMS OF HURUtTZ, MOUTH, AND S T U M BARRETT, $ . J . I N S T . MATH. APPL. 8 , 2 * 0 - 5 0 119711 I Z B L . 2 2 6 , 6 5 0 3 7 1

0 0 3 6 A NOTE ON THE B f Z P y T I A N MATRIX BARNETT, S . SIAM J. A P P L . MATH. 2 2 , 8 6 - 6 1 1 9 7 2 1

0 0 3 7 A NOTE ON THE MATRIX EQUATION XX* » 0 BASAVAPPA, P . NATRIX TENSOR QUART. 2 1 . 8 7 - 9 ( 1 9 7 1 1 IMR 4 3 , T 4 4 3 I

0 0 3 * A RANK TWO ALGORITHM FOR UNCONSTRAINED M I N I M I Z A T I O N • A S S . R. HATH. COHP. 2 6 . 1 2 9 - 4 3 ( 1 9 7 2 1

• 0 3 9 ON EVALUATING THE ROOTS OF ** ALGEBRAIC EQUATION •ATSCHELET, E . ELEM. HATH. 1 . 7 3 - 9 6 1 1 9 4 6 1 (GERMAN)

0 0 4 0 BLOCS F IVE DIAGONAL MATRICES ANO THE FAST NUMERICAL SOLUTION OF THE • I M M R O M I C EQUATION BAUER, L . • R E I S S , F . L . HATH. COHP. 2 6 , 3 1 1 - 2 6 1 1 9 7 2 )

45

0 0 4 1 Oft A METHOD FOR THE NUMERICAL CONFUTATION OF THE HOOTS OF AN EQUATION MtTMQCT THE USE OF TNEIft SEPARATION BELLcN, A . RENO 1ST. MAT. U N I V . TRIESTE 2 . 1 5 2 - 6 3 119711 ( Z S L . 2 0 6 , 4 6 5 1 INK 4 4 . : i T « l I I T A L I A N )

0O4? ITERATIVE FORMULAE FOR THE SOLUTION OF EQUATIONS AND THEIR USE I N APPROXIMATING FUNC TICKS RELOSTnCKl t . A. J A . I Z V . VYSC. UCER. ZAVEO. > U T . NO. 2 1271 2 3 - 6 l l % 7 l (RUSSIANI

0 0 4 3 A MEAN SQUARE ESTIMATE OF THE GENEAATEn ROUNO-?*F ERROR I N CONSTANT MATRIX ITERATIVE PROCESSES BENSCHOP, N . F . • RAT?, H . C . J . ASSOC. COMPUT. MACH. I t . 4 8 - 6 2 C19711 (RZ 1 9 7 1 , 907191 I Z B L . 2 1 7 , 2151 ( N * 4 4 . 2 3 2 2 ;

0 0 4 4 THE SUCCESSIVE PERIPHERAL BLOCK OVERRELAXATION METHOD BENSON, A . • EVANS. • . J . J . I N S T . MATH. APPL. 9 , 6 8 - 7 9 119721

0O4 5 ON LARGE SYSIFMS OF EQUATIONS » l T h A BAND MATRIX BERG. L . 2 . ANT-EU. MATH. MECH. 5 2 . 2 5 2 - 3 ( 1 9 7 2 ) (GERMAN)

0 0 4 6 HONCTONICITV AND THE GENERALIZED INVERSE BERHAN, A . « PLEMMONS. R. J . SIAM J . A P P l . MATH. 2 2 , 1 5 5 - 6 1 1 1 9 7 2 }

0 0 4 7 ALMOST EIGENVECTORS FOR ALMOST COMMUTING MATRICES BERNSTEIN, A . R. SIAM J . APPL. MATH. 2 1 , 2 3 2 - 5 1197 ' IAZ 1 9 7 2 , 6A373H

0 0 4 8 ON GENERALIZED INVERSES OF PARTITIONED MATRICES BHIMASAUKARAP, P. SANKHVA, SER. A. 3 1 1 - 4 119721

0 0 4 9 ON THE CONSTRUCTION OF ERROR ESTIMATES FOR NONLINEAR EQUATIONS BOHL, E . Z . ANGFM. MATH. MECH. S I , T 4 5 - 5 1 1 9 7 1 1 I Z B L . 2 2 % f . 5 0 6 4 l (CERMANI

0 0 5 0 ON ITFRATION FOR SYSTEMS OF NONLIPEAR EQUATIONS BOHL, E . COMPUTING IARCH. ELEKTRON. RECHNENl 7 . 5 3 - 6 4 1 1 9 7 1 : I Z B t . 2tU 4 8 4 1 (GERMAN I

0 0 5 1 A RAPtn ALGORITHM FOR STATIC M I N I M I Z A T I O N . COMPARISON K I T H OTHER ALGORITHMS BONNENAY, A . C . R. ACAO. S C I . P A R I S . SER. A . 2 7 2 , 1 5 1 4 - 7 1 1 9 7 1 1 (FRENCHI

0 0 5 2 GENERALIZED INVERSE MATRICES BOULLION, T . L . * Cr.ELL, P . L . MILEV- INTERSCIENCE. NEW YORK, LONDON, SYDNEY, TORONTO. X • 103 P P . ( 1 9 7 1 1 I Z B L . 2 2 3 , 1 5 0 0 2 1

0 0 5 3 FACTORABLE DETERMINANTS BOWMAN, K. 0 . • SHENTON, I . R . MATH. MAG. 4 5 , 1 4 4 - 7 119721

0 0 5 4 fclDELY CONVERGENT METHOO FOR F I N D I N G MULTIPLE SOLUTIONS OF SIMULTANEOUS NONLINEAR EQUATIONS •IRANIN, F. H . , JR. IBM J . RES. DEVEL. 1 6 , 5 0 4 - 2 2 119721

0 0 5 5 ON STOCHASTIC MATRICES WHOSE ABSOLUTE SMALLEST CHARACTERISTIC ROOT I S REAL BRAUER, A. • GENTRY, I . C . OU*E MATH. J . 3 9 , 2 6 5 - 6 11972}

0 0 5 6 ON THE RANKS OF BASES OF VECTOR SPACES OF MATRICES BRAMLEY. J . , J R . LINEAR ALGFRRA AND APP».. 3 , 5 1 - 5 1 1 9 7 0 } ( « 1 9 7 2 , 7A475 I

0 0 5 7 A METHOO OF UNCONSTRAINED GLOBAL OPTIMIZATION BREHERMANN, H . MATH. B I O S C I . 9 , 1 - 1 5 I ' i 9 7 0 1 IRZ Z 9 7 1 , 987301 I MR 4 3 : 4 2 2 4 1

0 0 5 8 BOUNDS FOR CLASSICAL POLYNOMIALS DERIVABLE BY MATRIX METHODS BRENNER, i . L . PROC. AMER. MATH. SOC. 3 0 , 3 5 3 - 6 2 1 1 9 7 1 1 ( Z B L . 2 0 3 , 6 2 )

0 0 5 9 GERSGORIM THEOREMS, REGULARITY THEOREMS 'NO BOUNDS FOR DETERMINANTS OF PARTITIONCO MATRICES. ! l . SONF OETERMINANTAL I D E N T I T I E S BRENNER, J . L . ' -ACIFIC J . MATH. 3 9 , 3 9 - 5 0 119711

0 0 6 0 PARTITIONED MATRICES ANA GAUSS-SE1DEL CONVERGENCE BRENNER, J . L . • DE P I l l l S , J . NUMER. MATH. 1 9 , 7 6 - 8 0 119721 I Z B L . 2?3r 6 9 0 0 9 1

0 0 6 . ON THE OAVIOENf.O-BRANIN METHOD FOR SOLVING SIMULTANEOUS NONLINEAR EQUATIONS BRENT, R. 0 . IBM J . RES. OEVFLOP. 1 6 , 4 3 4 - 6 1 1 9 7 2 )

0062 CONVERC MCE THEOREMS FOR THE EPSI ION ALGORITHM M E Z T N S K I , C . C . R. ACAO. S C I . P A R I S . SER. A . 2 7 4 , V4~6 1 1 9 7 2 ) (FRENCH)

46

0 0 * 1 STUOT OF TNf CONVERGENCE OF T N E EPSILON ALGORITHT •RE 7 I N S * ' . C . C- • - ACAO. S C I . P A R I S . SER. A ANC B . 2 7 4 . U 2 0 - * I 19771 IFRENCH)

0 O * 4 CONOITIONS OF APPLICATION ''0 CONVERGENCE OF EXMAPOLATING PROCESSES 8 R F 2 I N S X I . C . NUMER. M T H . 2 Q . 4 * - 7 4 1 1 * 7 2 1 (FRENCHI

0 0 * ' OERIVATIVE F*EE ANALOGUES OF THE LEVENRER£-«*«ROUAR0T AND GAUSS ALGORITHMS FOR VMM. I MCA* LEAST SOUA«FS APPRO* I M l ION B t O t M . ft. N . » DENNIS* J . E . , J R . NUMER. HATH. 1 R . 2 8 9 - 9 7 1 1 4 7 2 1

0 0 4 * ON E U C L I D ' S ALGORITHM AMO THE CONFUTATION V POLYNOMIAL GREATEST COMMON DIVISORS 8R0WN. U. S . J . ASSOC. CONF-UT. HACH. I t . 4 7 B - S 0 t ( 1 9 7 1 1 I 2 0 L . 2 2 6 . 6 5 0 4 0 )

0 O * 7 ON EUCLID 'S ALGORITHM AND THE THEORY OF SUBRESUITANTS •RONN, H. S . • TRAU5. J . F . J . ASSOC. COflPUT. RACH. 1R. 5 0 5 - 1 4 1 1 9 7 1 ) ICR 1 3 . 2 ? - 8 1 2 1 I Z B L . 2 2 * . 6 5 0 4 1 1

0O6S THE CONVERGENCE Of A CLASS OF 0OU8LE-RANK MIN IMISATION ALGORITHMS. 1 . GENERAL CONSIDERATIONS BROYDEN, C . G . J . I N S T . MATH. A P P l . 6 , 7 6 - 9 0 ( 1 9 1 0 1 1 2 8 1 . 2 2 9 * 6 5 0 2 3 )

0 0 * 9 THE CONVERGENCE OF A CLASS OF DOUBLE-RANK MIN IMISATION ALCORITHNS. 2 . THE NEW ALGORITHM 8ROY0EN. C . C . J . I N S T . H A T H . APPL. 6 . 2 2 2 - 3 1 1 1 9 7 0 )

0 0 7 0 THE CCNVFROENCE Of AN ALGORITHM FOR SOLVING SPARSE NONLINEAR SYSTEMS BROYDEN. C . G . MATH. CORP. 2 5 * 2 * 4 - 9 * ( 1 9 7 1 ) |R2 1 9 7 2 , 1 0 7 0 )

0 0 7 1 EVALUATION OF EIGENSOLUTIONS OF OISCRETE SPACE DIFFUSION PROBLEMS BUFFONI* G . CALCOLO 4 , 1 6 9 - 7 7 ( 1 9 6 7 ) (MR 4 2 . 7 0 4 7 )

0 0 7 2 EQUILIBRATION OF SYMMETRIC MATRICES I N THE MAX-NORN BUNCH, J . R . J . ASSOC- COMMIT. HACH. 1 8 . 9 6 6 - 7 2 ( 1 9 7 1 ) (CR 1 3 . 2 2 8 2 7 )

0 0 7 3 ANALYSIS OF T f £ CIAGONAL P IVOTING HETHOO BUNCH. J . R . S U M J . NUMER. ANAL. 8 * 6 5 6 - 8 0 1 1 9 7 1 ) ( Z B L . 1 4 9 , 4 « 8 ) IRZ 1 9 7 2 , 6 8 8 3 9 )

0 0 7 4 OIRECT METHODS FOR SOLVING SYMMETRIC I N D E F I N I T E SYSTEMS OF LINEAR EQUATIONS BUNCH. J . R . • PARLETT, B . N . S U M J . NUMER. ANAL. 8 . 6 3 9 - 5 5 119711 1191. 1 9 9 , 4 9 8 1 ( R * 1 9 7 2 , 6 8 8 3 8 1

0 0 7 5 NUMERICALLY STABLE DEFLATION OF HESSEP8ERG AND SYMMETRIC TRIDUGONAL MATRICCS BUSINGE* . • . A . NOROISK. T I 3 S K R . INFORHATIONSBEHANOLlNG ( B I T ) 1 1 , 2 6 2 - 7 0 ( 1 9 7 1 ) ( M L . 2 2 6 , 6 5 0 2 8 ) IRZ 1 9 7 2 , 5 8 1 0 1 1 )

0 0 7 6 HISTORICAL NO/E ON THE N E M T O M - R A P H S O N NETHOO OF APPROXIHATION CAJORI , F . ANER. HATH. MONTHLY 1 8 , 2 9 - 3 2 ( 1 9 1 1 1

0 0 7 7 ON SOME PROPERTIES OF TRIOIAGONAL ANO PENTA01AGONAL MATRICES CAPORANI, M . CALCOLO 8 , 1 4 9 - 5 9 1 1 9 7 1 1 IRZ 1 9 7 2 , 1 A 6 1 9 I I Z B L . 2 2 6 , 6 5 0 2 4 ) I I T A L I A N !

0 0 7 8 C- THE NUMERICAL SOLUTION OF ALGEBRAIC AN» TRANSCENDENTAL EQUATIONS CAUCHY, A. C . R. ACAO. S C I . PARIS 1 1 , 8 2 9 - 4 7 118401 IF4ENCH)

0 0 7 9 AN ITERATIVE "ETHOS TOR F INDING T i « PROPER VA'.UES ANO VECTORS BASED ON THE THEORY OF PERTURBATIONS CECCHI , N . M. CALCOLO 6 , 1 1 - 1 9 1 1 9 6 9 ) (ZBL* 2 1 3 * 4171 I I T A L U N )

8 M B ON THE LOCALIZATION OF ZEROS OF LAMENT SERIES BY USE OF PARAMETERS C E f l l l K , 6 . C . VF'iNlK L ' V I V . O E V f . U N I V . SER. MEN. NAT. 1 1 9 7 1 1 VVP. 9 , 3 2 - 3 , 8 9 ( 1 9 7 1 1 IR2 1 9 7 2 , 3 0 7 1 0 ) (UKRAINIAN)

• M l A MOMfiRAOIENT ANO PARALLEL ALGORITHM FOR UNCONSTRAINED M I N I M I Z A T I O N CHAZAN. 0 . < MlRANKER, v . L . S U M J . CONTROL 8 , 2 0 7 - 1 7 1 1 9 7 0 ) I I B L . 2 2 3 , 6 5 0 2 2 )

0 M 2 ON THE F I L L - I N WHEN SPARSE VECTORS ARE ORTHONORHALIZEO CHEN, V . T . • TEHARSON, R. P . COMPUTING I ARCH. ELEKTRON. RECHNEN.I ( 1 9 7 2 ) 9 , 5 3 - 6

• 0 0 3 A NOTE ON THE INVERSION OF POtfER SERIES CMTRNOFFt H . MATH. TABLES I I O S COHPUT. 2 , 3 3 1 - 5 1 ) 9 4 7 1 (MR 9 , 2911

47

l

• 0 * 4 METHODS FOR THE SEARCH OF SAOOLE FOINTS CHFRNAULT. V . • LORIOAN. F . C. A. ACAO. S C I . PARIS 273 . A1TI -4 11*711 IRZ 1*72 . 2*8091 I FRENCHI

0085 ON CONTtNUnuS FUNCTIONS. COMMUTING FACTIONS AHO FI IEO FOINTS CMO. S. C . • MOVER. R- 0 . FUND. RATH. 5 9 , 9 1 - 5 119*61 I MR J * . ROM

00*6 A SIMULTANEOUS ITERATION NETHOO FOR THE UNSYNNFTRIC EIGENVALUE PROBLEM C I I N T . N. • JENNINGS. A. J . INST. MATH. AF-Fl. T . 111-21 11*711 IZBL. 2 2 1 . 479) IRZ 1*72. J 8*451

0067 AATf OF CONVERGENCE O. SEVERAL CONJUGATE GRADIENT ALGORITHMS COHEN. A. I . SIAN J . NUNER. ATAL. * , 248-59 115721

0086 THE SINFLIFIEO NFNTON'S NETNOO FOR ALGEBRAIC ANO TRANSCENDENTAL EQUATIONS COLLATZ, L . Z . ANGEN. MATH. MECH. 3 4 , TO-1 (1954) INK 15 . 400> ICERHAN)

0069 THE CALCULATION Of MULTIVARIATE PCLYMDHlAL RESULTANTS COLLINS. G. E . J . ASSOC. CONFTIT. NACH. I t . 515-32 119711 IZBL. 2 2 * . 45042)

0090 ITERATIVE METHODS FOR ESTIMATING THE FARANETERS OF NONLINEAR FUNCTIONS ST THE NETHOO OF LEAST SQUARES CCSSARINI. G. • MICHEL I N I . C . STISTICA 3 1 . 977-92 119711 IRZ 1*72. 3870OI I ITALIANI

0091 ON ITERATION CRITANI, N . CIORN. 1ST. ITAL. ATTUARI 3 1 . +5-56 119701 U b L . : H , 1*51 (ITALIAN!

0092 MORE ON ITERATION CRITANI, H . GIORN. 1ST. I T N I . ATTUARI 3 1 , 1Z6-38 119701 IZBL. 2 1 3 . 1651 I ITALIANI

0093 GRAOIENT NFTHOOS OF MAXIMIZATION CROCKETT, J . 8 . • CHERNOFF, H . PACIFIC J . MATH. 5 , 33-50 119551

529* STUOV OF ROUNDING ERROR IN THE SOLUTION uf • INEAR SYSTEMS BY ITERATIVE METHODS CROUZFIX, J . P . REV. FRANCA ISES INFORMAT. RECHERCHE OPERATlONNfcLLE S» 100-6 11*711 IRZ 1972, 5B590I IZBL. 229 , 450*61 (FRENCH!

0095 LINEAR CONVERGENCE OF THE CUNJU6ATE GRAOIENT NT fHOD CROHOER* H. P. • MOLrE, P. IBM J . RFS. DEVaOF. 16, 631-3 11*721

0096 THE DAO THEOREM FOR SYMMETRIC NON-NEGATIVE MATRICES CSIMA, J . • OATTA, B. N . J . COMBINATORIAL THEORY SER. A. 12, 147-52 119721 IRZ 1972, 5A3S5I

0097 THE SOLUTION OF LARGF SPARSE UNSVNNETRIC SYSTEMS OF LINEAR EQUATIONS CURTIS, A. R. • REID. J . K. J . INST. MATH. APPL. 8 . 364-53 (19711 IRZ 1972, 6B837) IZBL. 2 2 9 , 65032 >

0098 BOUNDS FOR THE ERROR OF LINEAR SYSTEMS OF EQUATIONS USING THE THEORY OF NONCNTS OAHLOUIST, G. » EISENSTAT, S. C. • COLUB, G. H. J . MATH. ANAL. APPL. 3 7 , 151-66 119729 IRZ 1*72 , 668361

0099 ON MINIMAL GERSCORIN REGIONS OASNIC, L. S . • ZUSHANOViC, N. S. Z . VVCI S I . MAT. I MAT. F I Z . 1 2 , 1001-4 11972) I RUSSIAN)

0100 A NOT r ON HADANARD PAKHKTS OAVIS, T . E. AMER. MATH. MONTHLY 77, 1087 11970) IRZ 1971 , 14401)

0101 6E0MCTRIC MEANING OF THE NETHOO OF G0LU6 AND KAHAN FOR THE CALCULATION OF TNI SINGULAR VALUES OF * HATRtX OE NEERSMAN, R. BULL. SOC. MATH. BCLC. 22 , 146-54 11970) IRZ t ? 7 1 , 4A398) (MR 6 3 . 70931

0102 OH THE CONVEKHNCE OF BROYDEN'S METHOD FOR NONLINEAR SYSTEMS OF EQUATIONS DENNIS, J . E . , J * . MATH. COMP. 25, 559-67 11971)

0103 ON FINITE EL c ,;cMT MATRICES OESCLCUX, J . SUM J . NUNER. ANAL. 9 , 260-5 11972)

0104 INCLUSION DOMAINS FOR EIGENVALUES OF STOCHASTIC MATRICES DEUTSCM, t. * ZEN6ER, C . NUNER. NATH. 18, 182-92 11*71) IRZ 1972, 5A351I

48

0105 K A T M C I A L NORMS »KC THE ZERCS OF P O L Y W M A L S OEUTSCH. E . I IAEA* .frFRRA MO * » > . . 3 . 4 A 3 - * 11*701 (MR 4 2 . 4003) 1*2 1*72. 2A47*|

C106 ON MATRICIAI « W S SuRCROIRATE TO VECTORIAL NORMS OEuTSCH. f . PATM. » . 122, 1*2-50 11*711 ( 2 * 1 . 207. 11*1 1*1 1*72. 2A4.MM

0107 SFMI-INVERSES. REFLEXIVE SEPI- INVERSES. ANO PSEUOO-INVE*SIS OF AM ARSITRART L UN; AR TRANSFORMATION OEuTSCM. f. llKEAR Af.GERRA A*0 APPL. 4 , 313 -22 11*711 (RZ 1*7?. 4A417I

01 OR AR ADAPTIVE ALGORITHM FOR MINIMIZING A (MI MOO At FUNCTION O* I VARIAOLE OIJAHUtS. C. 1. AMCEM. MATH. NECH. S i . T4S-6 11*T1I

010* CM THE INCLUSION OF THE COMfJNENTS OF THE FIRST EIGENVECTOR OF MQRNAL OPERATORS IN UNITARY SRACES OIRSCHNIO. H. J . COMPUTING CAW - I . ELEKTRON. ftECHNENI A. 76 -9 11*751 »*Z 1 9 7 1 , 6 * 3 * * I IHR 4 3 . 57111 (GERMAMI

0110 ON THE COMPUTATION OF E!«MY5CT0»S OF LINEAR OPERATORS .'3 FUiiTc-OiMEttiONAL SPACES DIRSCMMID. H. J . COMPUTING I ARCH. ELfKTRON. RECHNEM.) 9 . 2 5 - 3 * 11*721 IGERHANI

0111 A DETERMINANTS IOENTITY FOR PROJECTORS IN A UNITARY SPACE O J O K O V I C . O. J . PROC. ARE*. MATH. SOC. 2 7 , l * - 2 3 11*711 CNR 4 2 , 1*4*1 (ZBL. 2 1 1 . 3511 (RZ 1*72. 4A415I

0112 OETERNINANTAL THEOREMS ANO PROPERTIES OF SIMPLCXES (GENERALIZATIONS Of TRIGONOMETRIC RULES TO N-OIHENSIONAl SIPRLEXESI OORSANO* n. MATH. HACHR. 4 4 . 2 * 5 - 3 0 * C t * 7 0 l IRR 4 3 , 327*1 {GERMANI

0113 PROPER VALUES OF MATRICES HAVING AN IMPORTANT ROLE IN THE STUDY Of RROHNI'ft INTEGRALS OUSUE. O. REV. INST. IATERNAT. STATIST. 37 , 13-17 ( 1 9 * * 1 I2NL. 206. 3*1 IFRENCHI

0114 A NOTE ON THE CONFUTATION OF ARITHMETIC ROOTS OUNCE, O. AHER. NATH. MONTHLY 3 * . 3 * 6 - * (1 *271

0115 ON A METHOD FOR LOCAL12INC THE ZEROS OF A POLYNOMIAL OUSSAUO. R. • DUPORT, J . P . C. P. ACAO. S C I . RARIS. SER. A-R. 272. AL195-9? (19711 (RZ 1971 , 10B-42I IZRL. 2 2 * . 6T071) (FRENCHI

O i l * CONFUTATION OF ROUNDS FOR TME SET OF VALU-.i FF A •OLVNOHIAL OVER AN INTERVAL OUSSEL. R. • SCHMITT. R. COMPUTING (ARCH. ELERTRON. RECMNENI A, 3 5 - 6 * (19101 (RZ 1 9 7 1 , * R * M ) (MR A3, 5*961 (GERMAMI

O U T CORRELATIONS RETMEEN EIGENVALUES OF A RANDOM MATRIX OYSON. F . J . CONH. HATH. PHVS. 1 9 , 235-50 119701

• l i t ON A METHOD CF CONSTRUCTING SOLUTIONS OF A SYSTEM OF LINEAR E«|UAT|0NS THAT ARE NORMAL IN TME SENSE OF A. N. TIHONOV DZJAOVK. V. E. URRAIft NAT. Z. 23 . 255-9 119711 (MR 4 * , 1*761 (RUSSIAN!

0119 ON TNF 01 AGONALIZAT ION OF COMPLEX SYMMETRIC MATRICES ERE RLE I N , P. J . J . INST.. NATH. APf'L. 7 . 377-63 1.9711 IZRL. 2 2 1 . 6791 (RZ 1*72, 30*97) (MM I*-. 2 /611

0120 A FURTHER ALGORITHM FOR SOLVING SYMMETRIC LINEAR SYSTEMS OF EQUATIONS EHLERT, 0 . Z . VCRMESSUNGSVCSEM * * , * 5 - 9 11*711 IZDL. 209, 4*71 (GERMANI

0*21 COUPLEO HARMONIC EQUATIONS, SOR. *Nf> CHEHYSKEV ACCELERATION EHRLICH, l . H. MATH. CONP. 2 * . 935-63 119721

« I 2 2 AN ARSTRACT THEOREM ON SNOWING ANO IMPROVING CONVERWNCE OF AN ITERATIVE PRKESS FOR NONLINEAR EOUATIONS £ MB MAIM M 2 . ANGfJ. MATH. R K H . 37 , 252-6 119571 (GSRNANI

0123 ON MATRICES KITH A R'STRICTEO NUNRCR OF DIAGONAL VALUES EUIOTT , J, f. H. RAC1FIC J . RATH. 35, 79-S2 119701 (MR 6 2 , 65*31 (RZ 1971, * A 6 0 * |

0126 ITERATIVE PROCESSES FOR SOLVING THE MATRIX EQUATION X(2 I - A « 0 EISNER, L. RUL. INST. POLITEHN. I AS I ( N . S . I 1 *120 ) , FASC. 3 - 4 , SECT. I , 15-26 11*701 IRR 6 3 , 70671 (RZ 1 * * 2 , 1A10261 (GERMANI

0125 METHODS FOR CONFUTING THE SPFCTRAl RADIUS OF NONNFOATIVE IRAEOUCIRLE MATRICES EISNER, I . COMPUTING IAACM. ElERT.ON. RECHNENI R, 32 -9 11*711 (RZ ( 9 7 2 . «*«66l IZRL. 225, 650511 (GERMANI

49

0 1 2 4 REMARK. OH EIGENVALUE ESTIMATES BY PERTUABEO DIAGONAL MATRICES EISNER. L . 2 . ANGEM. " A T M . H E C H . S | . 570 114711 1*1 1 4 7 2 . 5 R 1 0 1 3 ) (GERMAN)

0 1 2 7 METHODS FOR CONFUTING THE SPECTRAL RADIUS OF A NONNEGATtVE IRREOUCIBLE MATRIX I t EISNER. L . COMPUTING l n R C H . E L Y T R O N . * F C H * I E N . I 9 , 6 9 - 7 3 1 1 9 7 2 ; (GERMAN)

0 1 2 * APPROVlNATION OF THE MJTH RCOT OF N EVfRFTT, C . J . • METROPOLIS N . STWOIFS I N APPL. MATH. SO. U 9 - 9 1 1 1 9 7 1 1 I 2 d L . 2 2 9 . 6 5 0 4 8 1

0 1 2 9 NUMFRICAl NETHOOS OF SEARCH FOft GLOBAL EXTREMA OF FUNCTIONS IH1TH NONUNIFORN NETSI FVTUSFNKO. J U . G. 2 . VYCISL . MAT. I MAT. F I Z . 1 1 , 1 3 9 0 - 1 4 0 3 114711 {RUSSIAN!

0 1 3 0 ON THE CONDITIONAL ITT OF MATRICES FAOOFFV, 0 . K. TRUDY NAT. I K S T . STEKLOV 5 * . 3 * 7 - 9 1 1 9 5 9 1 INK 2?* 1 0 6 S I I Z B L . 1 6 1 , 1 2 i > IRUSSIANI

0 1 3 1 ON NORMS I N THE SPACE OF MULTILINEAR FORMS FAdOEEV, O . K. Z . VYCISL. NAT. I MAT. F I Z . 1 2 . 5 2 1 - 5 119721 (RUSSIAN)

0 1 3 2 COLLECTION OF PROBLEMS IN HIGHER ALGEBRA FADOEEV. 0 . K. • S O H I N S K I I . I . S . GOSUOAVSTVENNOE IZCATEL'STVO TEHNIKO-TE1RETICESK0I L ITERATURY. MOSCnti-LENINGftAO. 30« P P . 1 1 9 4 9 ) (RUSSIAN!

0 . 3 3 GENERALIZATION OF HA0ANA*D*S INEQUALITY FOR DETERMINANTS FACE. M. K. DOKL. AKAO. NAUK SSSR 5 4 , 7 6 S - 8 I l « 4 6 l (RUSSIAN)

0 1 3 4 OS SYHHFTRIZABLE MATRICES F A I R . N . K. USPFHI NAT. NAUR 6 * 3 1 4 3 1 1 5 3 - 6 ( 1 9 5 1 ) (RUSSIAN)

0 1 3 5 STABILIZATION OF ILL -COMSIT I0NEO SYSTEMS Of LINEAR ALGEBRAIC EQUATIONS BY MEANS OF THE METHOD OF JACOB I FALK, S . Z . W C I S L . MAT. I MAT. F I Z . 3 . 3 5 8 - 6 1 119691 (RZ 1 9 6 3 , 1 0 V 2 9 7 ) (MR 2 7 , 5 3 5 7 ) ( Z B L . 1 3 7 , 3301 (RUSSIAN)

0 1 3 6 GENERALIZED CAYLEV TRANSFORMS AND STRICTLY O I S S I P A T I V E MATRICES FAN, K. LINEAR ALGEBRA AND APPL. 5 , 1 5 ' 72 1 1 9 7 2 )

0 1 3 7 ON THE RATE CF CONVERGENCE OF C I < TAIN ITERATIVE PROCESSES FEOCRENKO, R. P . *.- V T L ; $ L . MAT. 1 HAT. F I Z . 4 , 5 5 9 - 6 4 ( 1 9 6 4 1 (RUSSIAN)

013B ON FULLY INDECOMPOSABLE MATRICES FLNKERT, T . I . • LOIZOU* G . J . COMPUT. SYST. S C I . 5 , 6 0 7 - 2 2 11971) IRZ 1 9 7 2 , 6A37 7)

0 1 3 9 ON SOME PROPERTIES OF H E R M I T U N MATRICES F IEDLER, M. M A T . - F Y Z . CASOPIS. SLOVEN. ARAO. V IED 7 , 1 6 8 - 7 1 ! » • « » » (MR 2 1 , 5 8 ) (CZFCHOSLOVARIAN)

0 1 4 0 A NOTE ON POSITIVE DEFINITE MATRICES F IEDLER, H . CASCPISPO PEST. HAT. 8 5 , ? « - ? 1 1 9 6 0 ) (MR l i , 6 8 2 0 ) ICZECHOSLOVAKIAN)

0 1 ' I RELATIONS BETWEEN OIAGONAL ELEPENTS CF H MATRICES ANO THT. IR INVERSES FIEDLER. 4 . H A T . - F V Z . CASOPIS SLOVEN-AKAO. V I E D . 1 2 , 1 2 3 - 8 119621 (MR 2 8 , 12071 (CZECHOSLOVAK!ANI

0 1 4 2 BOUNDS FOR THE DETERMINANT OF THE SUN OF HERNITIAN MATRICES F IEDLER, N . PROC. AMER. MATH. SOC. 3 0 , 2 7 - 3 1 ( 1 9 7 1 1

0 1 4 3 BOUNDS FOR EIGENVALUES OF DOUBLY STOCHASTIC MATRICES FIEOLFR, N . LINEAR ALGEBRA ANO APPL. 5 , 2 9 9 - 3 1 0 ( 1 9 7 2 )

0 1 4 4 OK CERTAIN 'TERATIVE METHODS FOR 01 AGONALIZING SYMMETRIC MATRICES FIEDLER, M. • PTAK, V . CASOPIS P E S T . 4AT . 8 % 1 0 - 3 6 ( I 9 6 0 ) (MR 2 2 , 6 0 7 2 1 'CZFCHGSLOVAKIANI

0145 ESTIMATES ANC I T F R A i l v E NETOOS FOR FINOING SIMPLE PROPER VALUES OF NEARI V DECOMPOSABLE MATRICES FIEOLFR, N . • PTAK, V . DORL. A M D . NAUK SSSR 151« 790- 2 ( 1 9 6 i l (MR 2 7 , 4 3 5 5 ) IRZ 1 9 6 4 , 1 8 * 6 5 ) (RUSSIAN)

0146 A PRIORI ESTIMATES FOR TRUNCATION ERROR OF CONTINUED FRACTIONS K I 1 / B I W ) ) F I E L D , 0 . A . • J 0 ' * S , H . B. NUMFR. MATH. 1 9 , 2 8 3 - 3 0 2 ( 1 9 7 ? I ( Z B L . 2 2 7 , 6 5 0 0 4 1

50

0 1 4 7 ON THt SOLuTtTM 0 ' (LL-CONOITIONEC SYSTEMS OF LINEAR ALGEBRAIC FOUATIQNS F l l . ' P P O V l C . f. I . V Y C I S i . NAT. *CZVFO. NAUCN. 56 U 9 6 6 ) VYP. 2 , 7 8 - 8 * (19fc>> (R2 1 » 6 ' , 9t>5«<! (MR I S , 3 *661 (RUSSIAN)

0 1 * 8 COMPUTATION TF PROPER VALUES BY MEANS Of A TRANSFORMATION OF A HOMOGENEOUS SYSTEM OF ALGEBRAIC EQUATIONS F I R T . V . A P I . PAT. 6 . 9 1 - 1 0 ? U c 6 1 l I W 2 4 , » 5 i 8 > IRZ 1 9 6 3 , 8 4 5 0 1 ICZFCHOSLriVAKlAh)

0 I « 9 NOTf ON THE COMPUTATION OF CHARACTERISTIC ROOTS F I R T , V . A P I . MAT. 7 , 5 1 - 7 5 119621 I P . 1 9 6 6 . 185621 (CZECHOSLOVAK! AN I

0 1 5 0 AN ALGORITHM FOP THE I L l - C O N D I T I O N F O GENERALIZED EIGENVALUE PROBLEM F I X , G. • HEIftERGER, R . SIAM J . NUMFR. ANAL. 9 . T 8 - 8 B 1 1 9 7 ? )

0 1 5 1 SOME ELEMENTAAV FORMULAS I N MATRIX CALCULUS AND THEIR APPLICATIONS F3NG. J . T . . 1 . RES. N A T . BUR. STANDARD? " . NATH. S C I . 7 5 8 , 9 7 - 1 0 5 1 1 9 7 1 )

0 1 5 2 POWER SERIES EXPANSIONS FOR INVERSE FUNCTIONS FRAME, J . S . AMfR. NATH. MONTHLY 6 4 , 2 3 6 - 4 0 1 1 9 5 7 1 IMR 1 9 , 221

0 1 5 3 THE CONSTRUCTION OF AN APPROXIMATING POlYNOMlAL FOR THE SOLUTION OF PARAMETER-DEPENDENT SYSTEMS OF EQUATIONS FRANZEN, R . Z . ANGcW. MATH. * E C H . 5 2 , T 2 0 2 - 4 119721 I GERMAN I

0 1 5 4 AN ELEMENTARY PROOF OF HADAMARO*S THEOREM FURUTA, T . MAT. VESNIK < t ( 2 3 | , 7 6 7 - 9 U < r 7 U ( Z B L . 2 2 6 , 1 5 0 0 8 1

0 1 5 5 APPLICATION CF MOUTH'S ALGORITHM TO NETWORK-THEORY PROBLEMS FRYER, H. 0 . IRE TRANS. CIRCUIT THEORY CT 6 . 1 4 4 - 9 ( 1 9 5 9 1

0 1 5 * PSEUOO-ORTHOGONAL MCTRICES G A I N . F . GAZ. MAT. F I Z . SEP. A 1 5 1 6 8 1 , 2 9 2 - 8 1 1 9 * 3 1 (MR 3 1 , 4 8 0 3 ) I I T A L I A N )

0 1 5 7 I N IMPLEMENTATION R? CHRISTOFFEL*S THEOREM I * THE THEORY OF ORTHOGONAL POLYNOMIALS ;ALANT, o. MATH. COMP. 2 5 , 1 1 1 - 3 1 1 9 7 1 1 I Z B L . 2 1 9 , 4 3 2 1

0 1 5 8 SOLVING CONFLUENT VANO^RMONOE SYSTEMS OF hf icHlTF TYPE GAL INSERT I , G. • PEREYRA, V . NUMER. MATH. 1 8 , 4 4 - 6 0 I ' .971k IRZ 1 9 7 2 , >a>9?I

0 1 5 9 ON CERTAIN TÔHEMS CONCERNING SQUARE MATRICES GALLETTO. 0 . ROLL. UN. MAT. : ' A L . 1 3 ) 1 8 , 9 4 - 1 0 0 119631 (MR 2 7 . 5 7 7 4 ) ( I T A L I A N )

0 1 6 0 ON SOME THECRt > CONCERNING PRODUCTS OF MATRICES GALLETTO, 0 . 1 S T . VENETO S C I . LEFT. ART! A T M O.. S C I . MAT. NATUR. 1 2 2 , 4 5 3 - 8 1 1 9 6 3 / 6 4 ) IMR 3 0 . 4 7 7 6 ) (RZ 1 9 o 6 , I A 1 9 5 I ( I T A L I A N )

0 1 6 1 FXT ENDING THE REGION OF CONVERGENCE OF NEWTON'S NETHOO GANSIN, G . S . I . V V C I S l . HAT. I MAT. F I Z 1 1 . 1 2 9 4 - 6 1 1 9 7 1 ) IRZ 1 9 7 1 . 1 8 1 3 6 ? ) (RUSSIAN)

0 1 6 2 COMPUTING REAL ZEROS OF A POLYNOMIAL GANSiN. G. S . ; . VVCISL. MAT. I MAT. F I Z . 1 1 , 1 5 8 1 - 4 119711 (RUSSIAN)

0 1 6 3 ON AN ALGEBRAIC ANALYSIS OF THE METHOD OF A . M. KRYLOV FOR TRANSFORMING THE SECULAR EQUATION GANTHAHER, F . R. TRUDY VTOROGO VSESOJUZNOGO MATlMATICESKOGO 5 EZOA, 4 5 - 8 1 1 9 3 6 ) (RUSSIAN)

0 1 6 4 THEORY OF MATRICES, SECOND E D I T I O N , ENLARGED GANTMAKER, F . R. IZOATEL'STVO NAUKA . HOSKOfc. 576 P P . 11966 ) (MR 2 4 , 2 9 8 5 ) ( Z B L . 1 4 5 , 3 6 ) (RUSSIAN!

0 1 6 5 OSCILLATION MATRICES ANO KERNELS ANO SMA'.L VIBRATIONS OF MECHANICAL SYSTEMS GANTHAHER, F . R. • K R E I N . N . G , GOSUOARSTVENNOE IZOATEl 'STVO TEHNIKO-TEORETICESKOI LlTERATURY. MOSCOW-LENINGRAD. 3 5 9 P P . 119501 (RUSSIAN)

0 1 6 6 THE NUMERICAL STABILITY OF THE SCHUR-COHN CRITERION GAR CANT IN I , I . S U M J . NUMFR. ANAL. 8 , 2 4 - 9 119711 ( Z B L . 2 2 1 * 4 8 2 1

0 1 6 7 CIRCULAR ARITHMETIC AND THE DETERPINATION OF POLYNOMIAL ZEROS OAR CANT I N I , I . • H E N R I C I , P . NUMER. MATH. 1 8 , 3 0 5 - 2 0 1197? ) IRZ 1 9 7 2 , 6 3 8 5 7 ) ( Z B L . 2 2 8 , 6 5 0 3 8 )

(

51

0 1 * 8 A HIGH-POWER ITEBATIVE METHOD FOR COMPUTING MATRIX PRODUCTS INVOLVING T>1E GENERALIZED INVERSE GARNETT. J . M. • B F N - I S R A E L , A . » VSUt S . S . S1AM J . NUHFR. ANAL. 8 . 1 0 4 - 9 I 1 9 ? l l IRZ 1 4 7 1 . U A 3 » 6 > I Z B L . 2 1 2 . 9 2 6 1 INR 4 3 . 7 0 4 8 )

0 1 6 4 S!VE OBSERVATIONS RELATING TO THE PROBLEM OF PROPER VALUES OF MATRICES GASMAN. J A . * ZARFCNlK. S . SKOOA RFV. 119671 HO. 2 , 7 - 1 1 ( I 9 6 » l 1*2 1 9 6 8 . 2 8 7 6 3 ) l « U S S I A R I

0 1 7 0 UN THE NUMERICAL SOLUTION OF SYSTEMS OF LIHEAR EQUATIONS GATTO, F . RICERCA S C I . 1 9 . > 3 0 5 - 9 1 1 9 4 * 1 I I TALIAVI

0 1 7 1 ON THE CONVERGENCE OF ITERATIVE PROCESSES ANO CRITERIA =OR OCFINITENESS OF QUADRATIC FORMS GAVRILOV. J U . N . I 2 V . AK40. fcAUK SSSR SER. M A ' . 1 « . 8 7 - 9 4 ( 1 7 V IMR 1 6 . 1771 I RUSSIAN!

0 1 7 2 APPLICATION OF POLYNOMIALS OF BEST ARPROXINATION TO THE IMPROVEMENT OF CONVERGENCE OF ITERATIVF PROCESSES G&VUftlN. K. X . USREHI NAT. KAUK 5 . 3 1 ) 7 1 , 1 5 6 - 6 0 t 1 9 5 0 1 IRUSSIANI

0 1 7 3 APPROXIMATE CONFUTATION OF PROPER VALUfc: ANO THE THEORY Or PERTURBATION GAVURIN, N . K. USPEHI NAT. *M-J* I ? . 1 1 7 3 1 . I T » - S « 1 9 > f | INK 1 9 . 7 5 * 1 t • • • S S I AN I

0 1 7 4 ON THE FPSI ION-ALGORITHM OF t»V»W GEKEtE:- . E . 2 . ANGEH. MATH. HECH. 5 1 . T 5 3 - 4 1 1 9 7 1 1 INR 6 4 , 23791 I Z B L . 2 2 B , & 5 0 4 2 I (GERMAN!

0 1 7 5 ON THE SOLUTION OF SYSTEMS OF EQUATIONS BY T I E EPSILON AA.CORITHN OF NYNN GEKELFV. E . MATH. COUP, 2 6 . 4 2 7 - 3 * 1 1 9 7 2 1

0 1 7 6 SPECTRUM OF X SATISFYING 0 LFSS T * * " OR EOUAl X I P I LESS THAN OR EQUAL X GELLER. R. PROC. AMER. MATH. SOC. 3 0 , 3 2 - 6 1 1 9 7 1 }

0 1 7 7 A SIGNIFICANT EXAMPLE TO TEST NETHODS FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS G H E R I . G . • MANCINO, 0 . S . CALCOLO 8 , 1 0 7 - 1 3 1 1 9 7 1 1 1 * 2 1 9 ? ? . 3 8 6 9 9 1

0 1 7 8 RANK OF THE SUN OF CERTAIN MATRICES GIBSON. P . W. CANAOIAN MATH. BULL. 14 1 2 1 , 257 119711 I Z B L . 2 1 7 , 3331

0 1 7 9 QUASI-NFNT0N METHODS FOR UNCONSTRAINED OPT IN IZAT .ON G I L L . P . E . • MURRAY, H . J . I N S T . MATH. APPL. 9 , 9 1 - 1 0 8 1 1 9 7 2 1

0 1 S 0 COMPARISON OF THE SPEED OF CONVCRGENCE OF SUCCESSIVE APPROXIMATIONS BY THE METHOD OF NEHTON N I T H TME NETHOO OF REGULA FALSI GOLAB. S . MATHEMATICA, CLUJ. 8 1 ) 1 1 , 4 5 - 9 119661 I Z B L . 2 0 7 , 4 7 2 1 IFRFNCHI

0 1 8 1 ON A CFRTAIR SPECIAL CLASS OF LINEAR TRANSFORMATIONS G C l ' B E R G . E . M. TRUDY SAMARKAND. GOS. u M l V . MAT. 11970) VYP. 1 9 1 , 6 3 - 9 1 1 9 7 0 1 IRZ 1 9 7 2 , 3A344) IRUSSIAN1

01R2 SOLUTION OF SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS BY THE SPL ITT ING METHOD GOLCVAC, G . P . • KALAIOA, 0 . F . OOPOVIDI AHAD. NAUK UKRAtN RSR SER. B ' 9 7 0 , 6 7 7 - R 1 . T 6 4 I 1 9 7 Q 1 1 2 8 1 . 2 1 1 . 3501 IMP 4 4 , 14771 (UKRAINIAN)

0 1 8 3 SONF MOOIFIFO EIGENVALUE PROBLEMS GOLUB. G . H . CONF. A P P l . fcUMFR. ANAL. DUNDEE. LECTURE NQTFS HATH. 2 2 8 - 5 6 1 1 9 7 1 ) I 281 . 2 2 8 , 6 5 0 2 7 )

0 1 8 4 THE INVERSE OF A CFNTROSYHMETRIC M-TRIK GOOD. f . J . TECHNOHETRtCS 1 2 . 9 2 5 - 8 ( 1 9 7 0 1 |R2 1 9 7 1 . 6A407) ( Z B L . 1 9 4 , 5 9 )

0 1 8 5 THE FACT0Rt2ATinN Of A SUN OF MATRICES ANO THE MULTIVARIATE CUMULANTS OF A SET OF QUADRATIC EXPRESSIONS GOOO. I . J . J . COMBINATORIAL THFORV 1 1 , 2 7 - 3 7 11971 )

0185 REALIZATION CF THE REDUCTION OF RECTANGULAR MATRICES TO ft 101 AGONAL FORM ON S1ALL MACHINES GOROONOVA, V . I . COMPUTING MFTHOOS ANO PROGRAMMING X I V , 1 2 5 - 3 b . 1 1 9 7 1 ) IZOAT, MOSKOV, U N I V . MOSCOW (MR 4 4 , 2 3 2 6 ) (RUSSIAN)

0 1 8 7 SOLUTION OF SVSTFMS OF LlNFAR ALGEBRAIC EQUATIONS ON MACHINES WITH F IXED POINT GOROONOVA, V . I . COMPUTING METHODS ANO PROGRAMMING X I V , 1 0 5 - 2 4 . ( 1 9 7 1 ) IZOAT MOSKOV. U N I V . MOSCOW IKR 4 4 , 2 3 2 5 ) (RUSSIAN)

OIAA AN ANALYSIS Of FQUALITY IN CERTAIN MATRIX INEQUALITIES uOROON, N . R . • MARCUS, M, PACIF IC J . MATH. 3 4 , 4 0 7 - 1 3 1 1 9 7 0 ) 1 * 1 4 2 , 3 1 0 9 1 IRZ 1 9 7 1 , 5A389 ) ( Z B L . 2 1 ? . 3 7 2 )

52

0 1 8 4 AN ITERATIVE APWOX IW.T ICW FOR F!MOt*«> THE NTH ROOT OF A NUMBER GCULO. H . N . K"<TH. NAG. 3 3 . 6 1 - C ( 1 9 5 9 1

0 1 4 0 ON CHFftvCHFv 4CC6LERATI0N PROCEDURES FOR JLTERNATING DIRECTION ITERATIVE METHODS GOURLAr. » . fi. J . I N S T . MATH, A P P l . 6 . I - I l ( 1 9 7 0 )

0191 MATRIX BALANCING GRAO, J. COMPUTER J . I t , 2 8 0 - * ( 1 9 7 1 1 ICR 1 3 . 2 3 . 0 ) 5 1 (RZ 1 9 7 2 , 3B6961 U R L . 2 2 6 . 6 5 0 3 0 1

0 1 9 2 AN ALWAYS CONVERGENT M I N I M I Z A T I O N TECHNIQUE FOR THE SOLUTION 0> POLYNOMIAL EQUATIONS GRANT, J . A . • H I T C H I N S , G . 0 . J . I N S T . MATH. APPL. 7 . 1 2 2 - 9 ( 1 9 7 1 1 I Z B L . 2 2 2 . 6 5 0 6 4 1 IR2 1 9 7 2 , 3 B 7 0 5 I

0 1 9 3 A OUASI-NEWiCN METHOD i(ITI« NO DERIVATIVES -JEENSTAOT, J . MATH. CONP. 2 * . 1 4 5 - 6 6 119721

0194 RFNARK ON THE EXTENSION OF THE NEWTON-RAPHSON METHC" FOR COMPUTING A MULTIPLE ZERO to*C!-NE, 0 . Z . JiNGEU. MATH. MECH. 3 7 , 213 1 1 9 5 7 ) I GERMAN I

0195 ON TKE CONVERGENCE OF AN ITERATIVE METHOD FOR THF COMPUTATION OF GENERALIZED INVERSE ANO ASSOCIATED PROjrCTIONS GUPTA, N . N . INTERNAT. J . SYSIEHS S C I . 2 . 6 7 - 7 5 119711 IRZ 1 9 7 2 , 5 B 1 0 0 7 I

0196 A PRIORI ERROR SOUNDS FOR SUCCESSIVELY SEPARATEO ZEROS OF POLYNOMIALS GUTKMECHT, N . 1. ANGEM. MATH. PHYSIK 2 2 , 6 3 0 - 4 119711 IRZ 1 9 7 2 , 1 6 1 0 * 3 1 I Z B L . 2 1 9 . 4401 (GERMAN)

0 1 9 7 A POSTERIORI ERR2S SOUNDS FOR THE ZEROS OF A POLYNOMIAL CUTKNECHT, N . NUMER. MATH. 2 0 , 1 3 9 - 4 ; 1 1 9 7 2 1

019B EXISTENCE ANO UNIQUENESS THEOREMS FOR INVERSE EIGENVALUE PROBLEMS BY MEANS OF TOPOLOGICAL IMAGING HAOELER, K. P . ARCH. RAT. RECH. ANALY.'-IS 4 2 , 3 1 7 - 2 2 1 1 9 7 1 1 (RZ 1 9 7 2 , 5 6 1 0 1 5 ) I Z B L . 2 2 3 , 150051 (GERMAN!

0 1 9 9 REMARKS ON GRADIENT PROCESSES HAOELER, K. P . NUMER. M A M . 1 8 , 4 1 3 - 2 2 1 1 9 7 2 ) IRZ 1 9 7 7 , 7 B 8 7 1 I IGEPMAMI

02G0 REMAPKS ON A PAPER BY » . WETTEALING ON POSIT IVE OPERATORS HA0ELE4, K. •». NUMER. MATH. 1 9 , 2 6 9 - 5 l ! 9 7 2 ) (GERMAN)

0 2 0 1 OPTIMUM EXTRAPOLATED ALTERNATING DIRECTION I M P L I C I T SCHEMES I N THE PRESENCE OF SINGULAR MATRICES HAOJIOIMOS. A . J . I N S T . HATH. A P P l . 7 , 3 6 1 - 6 1 1 9 7 1 1

0 2 0 2 NUMERICAL SOLUTION OF 1 I T I S » U » 0 I 0 H A C A < £ R . P . I N F « t f M T I C « S C i . 4 , 3S-AO 1 1 9 7 2 1 IRZ 1 9 7 2 , 7 9 9 4 6 ) CZSL. 2 ? 9 , 6 ' . 0 4 0 )

0 2 0 3 A NEM AND GENERAL HETHOO OF F INDING THE ROOTS OF EQUATIONS HALLEY. f. P H I L O S . TRANS. ROY. SOC. LONDON I B , 136 11694 )

0204 LATENT ROOTS AND LATENT ACTORS HAMMERING. S . J . THE UNIVERSITY OF TORONTO PRESS, TORONTO, O N T . - BUFFALO. N . V . X I • 172 P P . 1 1 9 7 0 ) INK 4 3 , 4 2 3 3 1

0 2 0 5 ON ESTIMATING ERROR I N APPROXIMATE PROPER VALUES ANO VECTORS HAIIIM V T OOKL. AKAO.*NAUK.SSSR 1 9 0 , 1 0 0 1 - 4 1 1 9 6 3 1 (RUSSIAN)

0 2 0 6 CONCERNING DIAGONAL S I M I L A R I T Y OF IRREDUCIBLE MATRICES HARTFIEL , 0 . J . PROC. AMER. HATH. SOC. 3 0 , ' 1 9 - 2 5 11971> i M * 4 3 , 7 4 4 6 1 I Z B L . 2 2 4 , 1 5 0 0 8 )

0 2 0 7 THF MATRIX EQUATION AXB * X HARTFIEL, R . J . PACIF IC J . MATH. 3 6 , 6 5 8 - 6 9 1 1 9 7 1 ) IMR 4 3 , 6 2 3 0 ) I Z B L . 1 9 4 , 3 4 2 )

0 2 0 8 THE RFSULTANT AND THE MATRIX EQUATION AX • XS HARTMIG, R. E . SIAM J . APPL. MATH. 2 2 , 5 3 8 - 4 4 I 1 V 7 2 )

O20<5 RESULTANTS ANO THE SOLUTION OF AX - KB * C HARTMIG, R. E . SIAM J . APPL. MATH. 2 3 , 1 0 4 - 1 7 ( 1 9 7 2 1 ( Z B L . 2 2 2 , 1 5 0 0 M

53

0 1 1 0 ON THE DECOMPOSITION -J* S!»GULAR LINEAR TRAKSFilMSMONS HAVE** V . CtSOCIS PEST. NAT. J 5 . 4 3 * - 4 T 1 1 9 6 0 * |HR 2 3 , A37S2) ( A * 1 9 6 1 . 9 *"? -5 l (ClFCHOSlOVAKlAN)

0 2 1 1 NCTF ON T * f SOLUTION OF SYSTEMS OF LINFAR ALGERRAlC EQUATIONS MfCHT, J . A P I . H * I . 3 . 2 3 3 - 7 < 1 *581 (MR 2 0 . T01 ( * l 1 9 5 9 , 5 2 1 7 * ICIECKISLOVAKIAN)

0 2 1 2 INTEGtR ARITHMETIC ALGORITHM* FOR POLYNJNtAl REAL ZERO DETERMINATION K E I N D E l , L . J . J . ASSOC. CONPUT. MACH. 1 8 , 5 3 3 - 4 * 11971» tCR 1 3 , 2 3 . 2 1 1 ) ( Z S L . 2 2 6 , 6 S 0 3 9 )

0 2 ! 1 CIRCULAR ARITHMETIC 4 * 1 THE OFTERPINAT ION OF POLYNOMIAL ZEROS H E N R I C I , P . LECTURE NOTES* NATH. 2 2 8 , R 6 - 9 7 ( 1 9 7 1 1 1R2 1 9 7 2 , 4 A I 0 8 1 !

0 7 1 4 ON THE CONVERGENCE CF INTERVAL ITERATIONS HERZBFRGER, J . 2 . ANGEM. MATH. NECH. 5 1 , T56 ( 1 9 7 1 1 I Z B t . 2i\. 4 7 4 ) IGERM4N)

0 2 1 5 OPT HAL ITT I N • CLASS OF ROOTFINDING ALGORITHMS HINOMARSH, A . C . SIAM „*. NUMER. ANAL. 9 , 2 0 5 - 1 4 ( 1 * 7 2 )

0 2 1 * A MET MOO OF SUCCESSIVE APPROXIMATION BASEO ON THE EXPANSION OF'SECOND PROER HITOTOMATU. S . MATH. JAPAN 7 , 3 1 — O 1 1 9 6 2 1 (MR ? « , 3 6 0 4 1

0 2 1 7 ON THF THEORY FOR THF GFNERAL CASE OF THE TRANS FORMAT 13N OF THE SECULAR EQUATION BY THE NETHC5 OF ACADEMICIAN A . N . KRVLOV HimavsMi, i . N. I 2 V . AKAO. NAUK. O t n . » A T . ESTESTVFNNY NAUR ( 1 9 3 3 1 1 0 7 7 - 1 1 0 2 ( 1 9 3 3 1 IRUSStANI

0 2 1 8 SlXUTION 0 . SYSTEMS 3 * LINEAR EQUATIONS N I T N N-DIAGONAL MATRICES HMURNAN, V . A P I . MAT. 1 0 . 2 2 2 - 5 1 1 9 6 5 1 i n 1 9 6 6 , I B * 1 1 !

0 7 1 9 ON THE VARIATION OF COORDINATES »N SU6SPACES HOFFMAN, * . J . ANN. MAT. PURA A P P l . IV SER. * 6 * 5i-<» 1 1 9 7 0 1 I Z S L . 2 2 9 , 1 5 0 0 2 1

0 7 2 0 PRODUCTS OF TwO INVOLUTIONS I N THF GENERAL LINEAR GROUP HCFFNAN. F . • P A I G E , E . C . INOIAAA U N I V . NATH. J . 2 0 . 1 0 I T - 2 C l l ^ T f c / 7 1 ) (MR 4 3 , 6 2 2 8 ) (R2 1 9 7 7 , 2 A 5 0 4 I

0 2 2 ! MONOTONICITY THEOREMS FOR AEGULA F A L - I ANO NEKTON'S METHOD MOFMtNN. rf. t C - ^ i l - I O l - R C K , ElEKTROK. RECHtiCKI 9 , 1 4 3 - 5 6 ( 1 9 7 1 ) ( I t * . 2 2 9 . 6 5 0 V • i ^ ^ A N l

0 2 2 ? SOME PRORf lT IES OF A CLASS OF ftANO MATE .ES HOSKIKS. M, 0 . • P T N 2 0 , P . J . HATH. COMP. 2 6 . 3 9 3 - 4 0 0 ( 1 9 7 2 1

0 7 2 3 ON A CONOITICN FOR THE NONStNGW ARITT OF A MATRIX HOUSEHOLDER, A . S . NATH. COMP. ?(,, 1 1 9 - 2 0 ( 1 9 7 2 1

0 2 2 4 OCTERPINATirN OF EIGENVECTORS OF SYNNE1MC I D I W O T S N T XATRICEC HOUSEHOLDE'., A . S . * FOX. * . J . COMPUTATIONAL PMTS. 8 . 7 9 2 - ' . I J9711 U R L . 2 2 1 , 4?9»

0 2 2 5 AN EFFIC IENT PROCESS OF SUCCESSIVE APPROXIMATION HS«>. I . C . ACTA MATH. ACAO. S C ; . HUNGAR. 9 , 2 9 1 - 7 119581

0 2 2 6 U N I F I E D APPROACH TO QUADRATICALLY CCNVE»*GENT ALGORITHMS FOK FUNCTION M I N I M I Z A T I O N HUANG, H . Y . J . OPTIMIZATION THEORY A P P l . 5 . 4 0 5 - 2 3 119701 (RZ 1 9 7 1 , 789121

0 7 2 7 NUMERICAL EXPERIMENTS OH QUAD* AT I C A L I V CONVERGENT ALGORITHMS FOR FUNCTION M I N I M I Z A T I O N HUANG. H . Y . * LEVY. A . V . J . OPTIMIZATION THEORY A P P l . 6 , 2 * 9 - 4 2 1 1 9 7 0 ) IRZ 1 9 7 1 . 789111

0 2 2 8 INVERSION OF PERSYMMFTRIC MATRICES HAVING TOEPLITZ INVERSES HUANG, N . M. • C l I N E . R. E . J. ASSOC. COMPUT. MACH. 1 9 , 4 3 7 - 4 4 19721

0 2 2 9 TMO-PARAMETER OVER-RELAXATION HUBNER. 0 . NUMER. MATH. 1 8 , 3 5 4 - 6 6 1 1 9 7 2 ) ( Z N L . 2 2 5 . 6 5 0 4 ? ) IRZ 1 9 7 2 , T B 8 5 2 I (GERMAN)

0 2 3 0 ON THE SEPARATION OF I -NEAP MULTIPLIERS FROM MATRIX POLYNOMIALS H U O I I , K. I . V ISN IK L ' V I V POLITEHN, I N S T . , : J , 5 9 , 9 - 1 3 ( 1 9 7 1 ) IRZ 1 9 7 2 , SA3A-8) I U K R 4 I N I A N I

54

0251 SOME (STINATES OF MATRIX K O M S ISS5JHW, H. 0 . I . V Y C I S l . NAT. I MAT. HZ. 1 0 . I T ? - 7 ( l « 7 0 l 1*2 1 9 7 0 , 6 0 7 7 9 ) t Z O L . 1 9 * . 4 4 9 1 I N * 4 2 . 3 9 * * ) i » U $ S i A M I

0232 ON PROPER VAluES OF PRINCIPAL SU0MU*CC£S OF A NORMAL MATRIX IKRAHCV. H . 0 . I . V V C I S L . NAT . I NAT. f i t . 1 1 . 1 * * 3 - 7 1 1 * 7 1 ) (AZ 1 9 7 2 , 4 * 4 1 9 1 (RUSSIAN)

0 2 3 3 ON AN INCLUS1.3N TMEOAEN FOR PROPER VALUES OF TR{DIAGONAL MATRICES IKRANPV, v. I . V T C I S L . < U T . I NAT. F I Z . 1 1 . 1290 t l 9 7 l » INK 4 4 . 1 6 M I I R J 1 9 7 2 . 2 A 4 8 6 ) IRUSSIANI

0 2 * * POWERS Of A MATRIX AND T « GENERALIZED LUCAS POLYNOMIALS U A N E O . Y . J . MATH. PHYS. 1 2 . 113 119711 I R Z 1 9 7 1 . 10A177I IMA 4 3 , 2 3 1 1

0 2 3 5 THE f X F i J C J T SCHEMES OF ALTERNATING uiRECTiON I L ' I N . V . P . I I V . S I 8 ! f t S K . OTDEL. M A O . NAUR SSSR 119671 NO. 3 , 9 7 - 1 0 4 1 1 9 * 7 1 (NR 4 4 , ! l - * 9 » (RUSSIAN I

9 2 3 * ON A PRIORI ESTIMATES OF R C W O I N G ERRORS I N THE NET MOO OF SUCCESSIVE APPROXIMATION IHOMNA2AV0R. 8 . OOKL. AKAO. FAMHOt RSS T O C I & : S T R N . OORL. AN T A D . . SSK • • N O . 1 1 . 3 - 6 1 1 9 6 * 1 fRZ 1 9 6 6 . 611*9*1 fRUSSIAN)

0 2 3 7 ON AN IMPORTANT 10ENT1TV I N THE DECOMPOSITION OF A S I LINEAR FORM INTO A SUN OF PRODUCTS IONESCU, 0 . SOC. S T I I N T E NAT. F I Z . RPR. GAZ . NAT. F I Z . SER. A . 7 . 3 0 3 - 1 2 1 1 9 * * 1 IRONARIAM

0 2 3 0 CANONICAL FORM OF A OETERH!"tt»T «N0 ITS APPLICATIONS IOKESCU. 0 . V . Af-AO. RPRONINE F I L . CLUJ STU>. C € * t . NAT. F I Z . 1 0 . 3 3 - 4 4 I I * * 9 I I Ml 2 3 . A I 3 1 I ( M 1 9 6 1 . U l * 9 1 IRGNANtANI

0 2 3 9 REDUCTION C A N i l I N F * * FQMN TO CANONICAL FORM IONESCU. 0 . V . l £ A O . RPWOMINE F I L . CLUJ . S W O . CERC. HAT. F I Z . 1 0 . 4 * - 9 1 1 9 9 9 1 I N * 2 3 . A 1 3 0 I M Z 1 9 * 1 . 5 A 1 0 4 I IRONANIANI

0 2 4 0 COMPUTATIONAL F*0P?RT|ES OF Rf<2ULAR C I F F F K} fOUATlONS IVANOY. A . V . TRUfi. NAT. I N S T . ANSSR 7 0 . 9 9 - 1 1 * 1 1 9 * 4 1 IRZ « 9 * 4 , 1 2 0 * 3 7 1 IRUSSIANI

0 2 4 1 ON THE CONVERGENCE OF ITERATIVE PROCESSES FOR SOLVING SYSTEMS OF LINEfc* ALGEBRAIC EQUATIONS IVANOS* V . K . £7.V. AMS>. NAUR SSSR ' .19391 4 7 7 - 0 3 11V»91 I RUSSIAN)

0 2 4 2 ON A CERTAIN GENERAL NET MOO FOtt TUT APPVOXIMTC S O U T I O N O* LINF.LR PROBLEMS IVANOV. V . V . OGKL. AKAO. NAUK SSSR 1 4 3 . 5 1 4 - 7 1 1 1 * 2 1 INR 2 4 . A 3 4 * 0 1 I R U S S I A N I

0243 ON ALGORITHMS O f STEEPEST CfSCENT IVANOV. V . V . DOKL. AKAO. NAUK SSSR 1 4 3 . 7 7 * - 8 ( 1 9 * 2 ) INR 2 6 , * T 2 * | (RUSSIAN)

0 2 4 4 ON R H A T I O N S BETWEEN METHODS OF THE RITZ-GALERX I N TYPE AN? THE METHOD OF LEAST SQUARES IVANOV. V . V . V Y C I S L . HAT . NFZVE0. »»UCN. S O . f 1 9 * * 1 VVP. 1 . 1 * 9 - 7 1 1 1 9 * 9 1 IRF 1 9 6 * . 6 0 * 9 4 1 (R'JSSIAN)

0 2 4 * ON THE NUMERICAL SOLUTICN OF S Y S T t M S OF l iNEAR EOUATIONS JANKO, 8 . ACAO. R . P . RONINE F I L . CLUJ STUO. CEAC NAT. 1 1 , 7 9 - 8 3 1 1 9 * 0 1 INR 2 4 . 6 * 7 * 1 (ROMANIA*)

0 2 4 * ACCELERATING THE CONVERGENCE Of NATR I * I T E A A i l - f PROCESSES JENNINGS. / . J . I N S T . PATH. APPL. 7 , 9 9 - 1 1 0 1 1 9 7 1 1 IRZ 1 9 7 2 , 2 B T 9 9 ) I Z R L . 2 2 1 , 4 7 6 )

0 2 4 7 ESSENTIALLY OOUBLY STOCHASTIC MATRICES. I . ELEMENTS OF THE THEORY OVER ARBITRARY F IELDS J O H N S * * . E . C . LINEAR AIGC0RA ANO A P P l . 4 , 2i'—9Z 1 1 9 7 1 1 'R? 1 9 7 2 - 2 A 4 9 5 I

0 2 4 8 GERSCPGORIN TH€2«er$ FOP PARTITIONED MATRICES JOHNSTON, R. I . LINEAR ALGEBRA AND APPL. 4 , 2 0 5 - 2 0 1 1 9 7 1 ) IRZ 1 9 7 2 , 1A610 ) I Z R L . 2 1 0 . H I )

0 2 4 9 ON THE COMPUTATION OF INCLUSION REGION:- FOR PARTITIONED MATRICES JOHNSTON, R. L . • O lCSKY, 0 . 0 . NUMFR. MATH. 1 9 , 2 3 R - * T 1 1 9 7 2 ) I Z f c . . ? ? ? . 6 5 0 2 6 1

0 2 * 0 SOLUTION OF CERTAIN MATRIX EQUATIONS JOMFS, J . , J R . PAOC. ANER. MATH. SOC. 3 1 . 3 3 1 - 9 ( 1 9 7 2 1

55

0 2 4 1 SOLUTION Of A SYSTfM OF LINEAR E O U A T C * * OF SPECIAL FORM JUABOV, N . P . TR. TASKEITSK. S . - M . I N S T . VVP. 1 6 , 3 8 7 - 9 1 (1<>64I (RZ 196%* 1R5281 IRUSSIANI

0 2 5 2 SURVEV 0.~ fXTBAPOLATION TROCFSSES I N NUKEfclCAL ANALYSIS JOYCE. 0 . C . SIAM RFV. 1 3 , 4 3 6 - 4 0 1 1 9 7 1 1 I Z A L . 2 2 9 * 6 5 0 0 5 1

0 2 5 3 1TFRATIVF SO I I I I I P * OF A SYSTEM OF LINEAR EQUATIONS JCSSA. F . AFNO. ACCAO. S C I . F I S . HAT. NAP0L1 ( 4 1 1 0 . 3 4 6 - 5 2 1 1 9 * 0 1 I I T A L I A N !

0 2 5 4 INKERS APPROACH TO SOME PROBLEMS OF SYSTEM THEORY JURY, E . I . IEEE TRANS. AUTOMAMC CONTROL A C - 1 6 , 2 3 3 - * 0 . 5 V M 9 T U I MR 6 4 , 2 7 7 0 1

0 2 5 * ON MATRICES WHOSE INVERSES HAVE P C S I T I V E ELEMENTS KACZORFK. T . 2 A S T 0 S . MFT. 5 . 1 * 1 - * U 9 S 0 ! 1*2 1 9 6 1 , 7A197J IPS 2 3 , 2 * ; - # l (CZECH1S10VAKIAMI

0 2 5 6 NFM METHODS FOR THE NUMERICAL SOLUTION OF A L C E M A I C AND TRAKSCENOENTAL EQUA. ' ICIS KALAICA. O . O0POVIOI AKAO. NAUK. UKRAIN RSR S E * . A 119721 1 1 6 - 7 1 1 9 7 2 1 (RZ 1 9 7 2 . 6 4 8 ) 3 1 (UKRAINIANI

0 2 5 7 FORMULAE EXPRESSING THE VALUES OF T»E COEFFICIENTS OF INVERSE POME* SERIES HAMMER. F . A",'A M . H . 7 C . » V ; j * 1 1 9 6 6 1 IMR 7 . 2931 (FRENCKI

0 2 5 8 ON ASYMPTOTICALLY PEST NORMS FOR MOVERS OF OPERATUIS

KAMNFRER, M. J . • VARCA. R . S . * • * * « . HATH. 20w 9 3 - 8 1 1 9 7 2 1

3 2 9 9 ON S » N l l ' i « | T Y OF MATRICES A9D REOUCTION TO CANONICAL FOR* KAftAHEV. L . E . OOKL. AAJkO. NAUK SSSR 2 0 0 . T 6 2 - 3 119711 (MR 6 6 . 2 7 6 ) 1 I R 2 1 9 7 2 . 6 4 6 1 1 1 IRUSSIANI

0 2 6 0 GEOMETRIC SCHEME FOR CONSTRUCTING PROPER PLANES AND PROPER VALUES O f LINEAR OPERATORS RAMTOR, I . L . TR. MAUCN. a E O I N . f l Z . - H A T . FAC. VUZOV D A L * * . VOJ TOK 3 , l O - l R ; (94.31 IR2 1 9 6 9 , * * , » 9 » l I R L S ^ M I

0 2 6 1 ON THE •CTHOC OF STEEPFST OESCENT KANTOPOVIC. I . V. OOKL. AKAO. NAUR SSSR 5 6 , 2 3 3 - 3 V19671 I RUSSIAN*

0 2 6 2 FUNCTIONAL AKALttJS ANO A P « U F J •»*»»t?HATI£S KANTOROVIC. L . V. USPEHt NAT. Nfly* * I 2 » » , 8 9 - J * 5 l i ' - - 6 ) ( R U S S I A * !

0 2 6 3 ON SCMF NEW APPROACHES TO NUMERICAL METHOOS ANO THE A M L Y S I S OF OBSERVATIONS KANTOROVIC. I . V. S I M R S K MAT. Z . 3 151 7 0 1 - 9 1 1 9 * 2 1 IRUSSIANI

0 2 6 6 RELATIONS NETtfEEM I K E COEFFICIENTS OF AN ANALYTIC f « K K • S M > I T S INVERSE 5'WCT I P * KANT?, « . MONATSH. MATH. 5 9 . 2 7 - 1 3 1 1 9 5 5 1 IMR 1 5 , 8 0 7 ) ; S £ * H A * )

3265 4-SOAJAftE MATRICES M H l t M , UNOEft ROM PF* Ntff A l I O N S . LE&VE THE ( N - U T H ELEMENTARY SYMMETRIC FUNCTION INVARIANT KAPOOR, J . LlNEAft ALGEBRA ANO I P * - ! . . 5 , 1 1 3 - J 1 119721

0266 * H f ? r £ 0 FOR SOLVING SYSTEMS OF THtEE-TERN ALMORAIC EOUATIONS AMJO I T S APPLICATION TO THE $0*1*7*54 OF SOME MOSLEMS I N MATHEMATICAL PHYSICS KARK»&*N, A , V . VESTNIK HOSKOV. U N I V . SER. F I Z . - M A T . I ESTEST. NAUK 1 1 9 9 5 1 NO. S . 3 9 - 6 5 1 1 9 5 5 1 IRUSSIANI

0 2 6 7 OH CHARACTER!STrC ROOTS OF MATRICES MlTH N0NNE6ATIVE ELEMENTS KARPELEVIC, F . t . 1 Z V . AKAO. NAUK SSSR SER, NAT. 1 5 . 3 6 1 - 8 3 1 1 9 5 1 1 IRUSSIANI

0 2 6 8 GEOMETRIC INTERPRET ATION OF THE BANACHIEMICZ SCHEME KASAMIN, R . SNPSKA AKAft. NAUKM, Z 8 0 R M * RAOOV. MAT. I N S T . 2 , 9 3 - 6 1 1 9 5 2 1 I N * 1 6 . 3 0 1 1 I POLI SHI

0 2 6 9 ON THE EXTREME POINTS OF THE SET OF SuOSTOCHASTIC AND SYMMETRIC MATRICES RATZ, M. J HATH. ANAL. APPL. 3 7 . 5 7 6 - 9 ( 1 9 7 2 1

0 2 7 0 ON THE RESOLUTION OF POLYNOMIAL MATRICES INTO LINEAR MULTIPLIERS K A Z I N I R S K I I . P . S . OOPOVIO. AKAO. NAIA UKRAIN RSR ( 1 9 6 6 1 6 6 6 - 8 ( 1 9 * 6 ) IRZ 1 9 6 4 , 9 A 1 3 7 I I Z B L . 1 3 4 , 2 5 2 1 ( U K R A ' a l A N I

56

0 2 7 1 ON Tt«F F l I M i M T l O f t OF A REGULAR FACTOR FROM A I I M ' t IKK.VNO*! AL H t M K t k M l I , P . S . OOPOVOOI AKAO. NAUK UKHA I N RSR, SER. A, 1 1 9 7 1 1 6 S 6 - 7 1 1 9 7 1 / I Z 8 L . 2 2 4 , 1 5 0 2 3 ) (UKRAINIAN!

0272 ON THE RESOLUTION OF A MATRIX POLYNOMIAL INTO MONOMIALS X A Z I M R S K I I , P . S . UKRAIN. NAT. Z . <--. 3 1 6 - 2 7 I I 9 7 2 I (RUSSIAN!

0 2 7 ) A CRITERION FOR SOLVABILITY OF TME FOUATION X2 - A • 0 K A Z I H I R S K l l . P. S . • UHANSKA. 0 . V. V lSNtK L ' V I V . POLlTEHN. I N S T . SO. 4 4 , J O - 7 , ^10 1 1 4 7 0 1 (MR 4 4 , 2 7 6 6 1 ( U X R A I M A M

0274 SORE U'NEPALIZATIONS OF A THEOREM OF A . N . OSTROWSKl ON ITCJUTIVE PROCESSES K E L 8 A S M S K I I . A . S. VFSTNIK MOSKOV. U N I V . SER. I . WAT. N t H . 1 1 9 6 0 ) NO. 5 , 4 0 - 0 1 1 - 6 0 ) (MR 2 6 , 8 9 2 7 ) |R2 1 9 6 2 , 5 0 1 9 0 ) (RUSSIAN)

0 2 7 5 MATRICES S IMILAR TO A POSIT IVE OR ESSENTIALLY P O S I T I V E MATRIX KELLOGa, R . B. LINEAR ALGEBRA AND APPL. 4 . I 9 1 - £ 0 * C I 9 7 H ( £ « . , ? > 5 , 3 * 5 ) itZ 1 9 7 2 . 2A49»1

0 2 7 6 ON COMPLEX EIGENVALUES C? H ANO P MATRICES KELLOGG. R . 8 . NUMeR. MATH. 1 5 . 1 7 0 - 5 119721

0 2 7 7 A NOTE ON A COMMUTATIVE G-IKVFASF OF A MATRIX K H A T A l . C . G . SANKHVA. SER. A . 3 2 . 2 9 9 - 3 1 0 1 1 9 7 0 1 IR2 1 9 7 1 . TA421) I Z B L . 2 2 5 , 1 5 0 0 5 )

0 2 7 8 ON THE SOLUTION OF CERTAIN SYSTEMS OF LINEAR A L G E M A I C EO""ATIONS OF HIGH QROER K I M , G . D . SB RABOT. SVCISL. CENTRA NGSK. U M V . 3 , 1 3 4 - 4 6 ( 1 9 6 5 1 (RZ 1 9 6 9 , 11B479 ) |»R 3 2 . 84R6) <CR S . 1 2 . 0 1 0 ) (RUSSIAN)

0 2 7 9 TME REOUCTISN OF A SYSTEM OF LINEAR EOUATIONS TQ A FORM SUITABLE FOR SIMPLE ITERATION K I N . G . COMPUTING METHODS ANO •ROGRANMlNG, V I I I ( R U S S I A ; ! , P P . 2 4 8 - 5 3 . 119671 I 2 0 A T . NCSROV. U N t V . MOSCOW (MR 4 3 , 8 2 2 6 ) (RUSSIAN)

0 2 8 0 NORMS OF THE SUCCESSIVE OVERRELAXATIOW METHOD K I N C A I O . 0 . R. HATH. COMP. ? 6 . 3 4 5 - 5 7 l l » 7 2 >

0 2 8 1 A FIFTH-OROER FAMILY OF MJOIF IFD R€NT(W METHODS R I N G , * . F . NORCIS* T IDSKR. I N F O R H A T I O N S S E H A N O L I M G H I T ) I I , 4 0 9 - 2 ? ( I 9 7 I I

0 2 * 2 TANGENT METHODS F(jR NONLINEAR EQUATIONS K I N G . R . F . NUNER. MATH. I B . 2 9 8 - 3 3 * ( 1 S T 2 ) I Z R l . 2 1 5 , 2 7 4 )

0 2 8 3 ON THE CRIT ICAL EXPONENT Of NORMS I N N-ftlMENSIONAL SPACE KIR2NER, » . M. • TjF4&CN!ftav< t. I . S I 8 I R S K . MAT. 2 . 1 2 , 6 7 2 - 5 ( 1 9 7 1 1 ( Z f t L . 2 1 7 , 5 1 1 (MR 4 4 , 2 7 7 1 1 ( Z b L . 2 2 8 , 2M>07) (RUSSIAN)

0 2 8 4 ON CONVERGENCE OF ITERATIONS FOR F IXED POINTS OF REPULSIVE TYPE tONERU. R. S . * I A ( U , 8 . S . CANAO. MATH. BULL. 1 4 , 3 5 3 - 7 ( 1 9 / 1 ) , R i 1 9 7 2 , 2 B 8 1 1 )

0 2 * 5 THE MOOIFIEO METHOO OF FXT<~KSION FO« INVERTING MATRICES KONIGSHOFER, F . COMPUTING (ARCH, H E K T R C M . RECHNEM R. 2 2 1 - 4 0 1 1 9 7 1 ) ( Z B L . 2 2 8 , 6 5 0 2 5 ) >(-,€.• HAN»

0 2 * 6 ON AN ITERATIVE METHOD FOR SOLVING THE :>MPlETE PROBLEM OF PROPER VA'.UES KOREPOV. V . G. UKR. PAT. Z . 1 « , 3 2 8 - 9 119621 (R2 1 9 6 3 . 5 * 4 4 ) (MR 2 6 . 7 1 4 3 ) (RUSSIAN)

0 2 * 7 ON A NETHOO FOR SOLVING SYSTEMS OF I 'NEAS ALGEBRAIC EQUATIONS ANO F I N D I N G PROPER VICTORS OF A MATRIX KOSTARCUK, V . N . DORL. W A D . NAUR SSSR 9 8 , 5 3 1 - 4 I 1954)

9 2 8 8 THF THEORY OF BETA TRANSFORMATION MATRICES KGURIGFNi i . C . N . BULL. SOC. MATH. CRECf ( * . S . l 1 0 , FASC. 1 , 5 5 - 7 5 ( 1 9 6 9 1 (MR 4 3 , 6 2 2 2 1

0 2 8 9 THE EIGENVALUE PROBLEM ANO J * C 0 6 £ * I - U * < E METHODS FOR ITS SOLUTION R O U « 0 « N i S , C . N . BULL. SOC. MATH. 5RECF N . SFR. 1 1 , NO. 1 , 9 7 - 1 3 1 t l 9 7 0 l ( Z B L . 225 . o50*7)

6 2 9 0 THE I L L I C I T ITERATIVE METHCOS OF SOLUTION OF LINEAR ALGEBRAIC SYSTEMS «CVALEV, V . A. GJR'KGV. COS. U N I V . UC£N. ZAP. VTP. 1 0 8 , CAST. 2 , 1 2 3 - 7 ( 1 9 7 0 ) (MR 4 4 , ??27) (RUSSIA"*!

57

0 2 9 1 HN THE QUESTION OF THE CHOICE OF AN EFFECTIVE METHOD OF SOLVING LINEAR EQUATIONS OF L£*GE OR^cR KRAStKOVA, N. V . I Z V . VYSS. UCE8N. ZAVEO. GEOO. 1 AFRODOT. 1 1 9 6 9 1 , MO. 3 , 5 7 - 6 1 119691 (PK 4 4 , 2 3 7 8 ) {RUSSIAN)

029? ON THE SOLUTION BY SUCCESSIVE APPROXIMATION OF EQUATIONS M I 1 H SELF CONJUGATE OPERATORS KRASNOSEL 'SKI I . N . A . USPFHt NAT. hAUK 1 5 , 3 ( 9 3 ) 1 6 1 - 5 11960) (RUSSIAN)

0 7 9 : ITERATIVE PROCFSSFS talTM P I M H A L PESIOUALS KRASNOSEL'SKI t , P . A . • KRE I N , S . G . MAT. SB. 3 1 , 3 1 5 - 3 * 1 1 9 5 2 ) (RUSSIAN)

0 2 9 4 APPLICATION CF SOKE NOTIONS OF LINEAR ALGEBRAIC THEORY OF EQU. ' l iON SOLVING Ki tLSTIN , A . F . I Z V . VYSS. UCEB. Z A " F D . NAT . ( 1 9 5 8 1 2 , 4 3 - 5 5 ( 1 9 5 8 1 (>U » 9 5 9 . 4 2 4 7 1 I fcuSSIAN)

0 2 9 5 ON THE PR0NLE1 OF ACCELERATING CONVERGENCE OF I T f S i l l V E PROCESSES FOR SOLVING SYSTEMS OF LINEAR EQUATIC: S KRAUTSTENGl, R. A P I . NAT. 9 , 3 9 9 - 4 0 9 I 19641 l « U 1S66* 2B658) (NR 3 2 , 5 8 ! ) (CZECHOSLOVAKIA*)

0 2 9 6 ON THE THEORY OF MATRIX VARIABLES KRAVCUK, L . V . 2APISKI F I 2 . NAT. OTOEL. AKAO. NAUK SSSR 1121 2 8 - 3 3 ( 1 9 2 4 1 (RUSSIA

0 2 9 7 ON A CERTAIN GENERALIZATION OF THE METHOD QF NEUTOW-KANTOROVIC KRAVCUK, T . S . UKRAIfc. MAT. 2 . 2 3 , 1 0 4 - 2 0 1 1 9 7 1 )

0 2 9 8 INCLUSION OF ZEROS BY MEANS OF AN INTERVAL ARITHMETIC KRAMCZYK, R* COPPUTING (ARCH. ELFKTRON. RECHffER.) 5 . 3 5 6 - 7 0 ( 1 9 7 0 ) (MR 4 2 . 7 0 6 3 ) ( Z B L . 2 0 6 , 4 6 5 ) I GERMAN)

0 2 9 9 A BREAKING-OFF CRITERION FOR ITERATIVE PROCESSES KRAWCZYK, R. Z . ANGErf. MATH. MECH. 5 2 , 2 2 7 - 3 2 ( 1 9 7 2 ) (GERMAN)

0 3 0 0 ON THE SPECTRA CF .'ACOSI FORMS IX CONNECTION MlTH THE THEORY OF SUDDEN VIBRATION' . 3F A BAR K R E I N , M. G . MAT. SB. 4 0 , 4 5 5 - 6 6 1 1 9 3 3 ) (RUSSIAN)

0 3 0 1 THC DISCRIMINANT OF THE CHARACTERISTIC EQUATION OF A SYMMETRIC MATRIX KREMNEVA, J U . P . I Z V . VYSS. UCEBN. ZAVEO. NAT. ' 1 9 6 1 1 1 ( 2 0 1 9 0 - 9 7 ( 1 9 6 1 ) I Z B L . 1 2 3 , 4 1 (RUSSIAN)

0 3 0 2 AN ESTIMATE FOR EIGENVALUES CF NOMNORHU MATRICES K«?SS, R* • 0EVR1ES, H . L . • •rEGMANN, R. Z . ANGEH. HATH. MECH. 5 2 . 2 1 0 119721 CERMAK'

0 3 0 3 A THEOREM ON THE TRACE Of CERTAIN MATRIX •ftOOUCrS KRISTCF, w . J . HATH. PSYCHOL. 7 , 5 1 5 - 3 0 ( 1 9 7 0 1 (RZ 1 9 7 1 , 7 A 4 1 9 I (MR 4 2 , 6 0 0 8 )

0 3 0 4 APPLICATION CF ANALYTIC CONTINUATION I N W M E t . ' C ' L HCTMC9S OF ANALYSIS KUBLANOVSKAJA, V . N . OISSERTATICN KAND F I Z . - H A T . NAUX LGU, LENINGRAD ( 1 9 5 5 ) (RZ 1 9 5 6 , 1 6 8 8 ) (RUSSIAN)

0 3 0 5 APPLICATION OF ANALYTIC CONTINUATION BY MEANS OF A CHANGE OF VARIABLE I N NUMERICAL ANALYSIS KJBLANOVSKAJA, V . N . TRUDY MAT. I N S T . STEKLOV 5 3 , 1 4 5 - 8 5 ( 1 9 5 9 ) (NR 2 2 , B 6 4 1 I (RUSSIAN)

0 3 0 6 APPLICATION CF ORTHOGONAL TRANSFORMATIONS TO THE SOLUTION OF NONLINEAR SYSTEMS KUBLANOVSKAJA, V . h . Z A P . NAUCH. S E N . LENINGRAO. O T O E l . MAT. I N S T . STEKLOV. I L O M I I 2 3 , 5 3 - 7 1 ( 1 9 7 1 ) IRZ 1 9 7 2 , 4 0 1 0 7 4 ) (RUSSIAN)

0 3 0 7 APPLICATION OF NORMALIZING PROCESSES TO THF SOLUTION OF THE INVERSE EIGENVALUE ROBlEM FOR MA TRICES KUSLANOVSKAJA, V . M. Z A P . MAUCW. SEN. LENINGRAO. OTOEL. MAT. I N S T . STEKLOV. ( L O M I I 2 3 , 7 2 - 8 3 ( 1 9 1 ) (RZ 1 9 7 2 , 4 0 1 0 7 5 ; (RUSSIAN)

0 3 0 8 ON AM INVERSE PROBLEM FCR PROPER VALUES OF MATRICES KUBLANOVSKAJA, V . N . * NAZANOV, V . B . ZAP. KAUCN. SEN. LENINGRAO. OTOEL. NAT. I N S T . STEKLOV. ( L O R ! ) 2 3 , 8 4 - 9 3 ( 1 9 7 1 ) (RZ 1 9 7 2 , 4 0 1 0 7 6 ) (RUSSIAN)

0 3 0 9 AN AXIOMATIC APPROACH TO RCUNOEO COMPUTATIONS KULISCH, U . NUHER. MATH. I B , 1 - 1 7 ( 1 9 7 1 )

031C ON SOME ITERATIVE METHODS FCR DETERMINING PROPER VALUES CF SELF CONJUGATE OPERATORS KUNFRT, F . Z . V Y C I S l . NAT. I MAT. F I Z . 4 , 1 4 3 - 3 1 1 9 6 4 ) (MR 2 8 , 4 6 7 0 ) (RUSSIAN)

58

0 3 1 1 ON THE SOLUT.ON 0 . SYSTEMS CF LINEAR HOMOGENEOUS EQUATIONS KUZNECOV, V . i . UC. ZAP. P fH^SK. U N I V . 7 7 ( 3 1 2 1 - 6 119671 (RZ 1 4 6 * . 10A1191 (RUSSIAN)

0 3 1 2 AN INTRINSIC EXPOSITION OF THE THEORY OF DETERMINANTS l | M » , F . I . GAZ. MAT. :• I S B C A ; I 7 ( 6 3 - 4 ) 1 -8 !1956> I POM IUGUE SE1

0 3 1 1 ANOTHER THEOREM RELATING SVI TESTER'S MATRIX «.N0 THE GREATFST COMMON DIVISOR IAIOACKER. M. A . MATH. MAG. 4 2 , 1 2 6 - 8 ( 1 9 6 9 1

0 3 1 * .' NOTE ON SUB-MULTIPLICATIVE NO* MS LANCASTER. P . ::UMER. * A T H . 1 « , 2 0 6 - 8 119721 I Z B L . 2 2 7 . 150071

0 3 1 5 THF LAURENT EXPANSION fQR A NEARLY SINGULAR MATRIX LAMGENHOP, C . E . LINEAR ALGEBRA ANO A P P l . 4 , 3 2 9 - 4 0 ' 1 9 7 1 1 I 2 B L . 2 2 * . 150051 «RZ 1 9 7 2 , A « 3 « . 5 )

C316 ON THE INDEX OF A SQUARE MATRIX LANGENHPP. C . E . SIAM J . A P P l . MATH. 2 1 , 1 9 1 - 4 I 1 9 7 U I Z B l . ? 0 > . 501 IRZ 1 9 7 2 , 7A100 )

0 3 1 7 NORMS ON OIRECT SUMS ANC TENSOR PROOUCTS LANCASTER. P . • FARAHAT, H . K. MATH. COMP. 2 6 , 4 0 1 - 1 4 ( 1 9 7 2 1

0 3 1 8 THEORY OF FUKCTIONS OF MATRICES AKO SYS T 'MS OF LINEAR DIFFERENTIAL EQUATIONS LAPPO-DANILEVSKI I , I . A. GOSTEHIZOAT. 4 5 6 P P . ( 1 9 3 4 1 (RUSSIANI

0 3 1 9 APPLICATIONS OF FUNCTIONS OF MATRICES TO THF THEORY OF LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS L A P P C - D A N l l E V S K l l . I . A . GOSUOARSTVENNOE I7DATEL«STV0 TEHNIKO-TEORETISKQI LlTcRATURY. MCSCOtt. 4 5 5 P P . ( 1 9 5 7 1 IRUSSIANI

0 3 2 0 ON CRITERIA FOR THE CONOITION OF A N A T U X ANO THE PRECISION OF THE SOLUTION OF A SYSTEM OF NORMAL EQUATIONS LARCEKKC, fc. E . T R . MOSK. I N S T . I N Z . ZEMlEUSTRPISTVA VYP. 22. 5 7 - 6 5 119691 I R i 1 9 6 4 , 1 1 B 5 0 8 I IRUSSIANI

0 3 2 1 ON THE COMPONENTS OF A MATRIX LARIONOV. B. A . OOKL. AKAD. NAUK USSR ( 1 9 6 3 1 " 3 . 3 , 5 - 9 ( 1 9 6 4 1 (R2 1 9 6 4 , I 0 B 4 3 9 I (RUSSIANI

0 3 7 2 ON THE QUESTION OF INCREASING THE PRECISION OF THE SOLUTION OF A SYSTEM OF LINEAR EQUATIONS LAV*ENT»EV, M. P. DCKLAOY AKAD. NAUK SSSR 9 7 , 9 8 5 - 6 ( 1 9 5 3 1 (RUSSIANI

0 3 2 3 ON THE ESTIMATE OF THE EXACTNESS OF THE SOLUTION Of A SYSTEM OF LINEAR EQUATIONS LA«RFNT*FV, P . M. 0 0 * 1 . AKAD. NAUK SSSR, 9 5 , 4 4 7 - 8 ( 1 9 5 4 ) (RUSSIANI

0 3 2 4 ON THE EXACTNESS OF THE SOLUTION OF A SYSTEM OF LINEAR EQUATIONS LAVPENT'FV. P . P. MAT. SB. 3 4 I T A I 2 5 9 - 6 8 ( 1 9 5 4 1 (RUSSIAN)

0 3 2 5 D ISTRIBUTION OF THE PROPER VALUES I N THE TRANSFORMATION OF SFIOEL FOR SYSTEMS OF NORMAL EQUATIONS LAVUT, A. ' . USPEHI MAT. NAUK 7 , 6 1 5 2 1 1 9 7 - 2 0 2 119571 (RUSSIAN)

0 3 2 6 ON THE OR ALGORITHM WITH SHIFT •.EAAUO, C . INTFRNAT. J . COMPUT. MATH. 2 , 3 4 3 - 5 8 ( 1 9 7 3 1 (RZ 1 9 7 1 , 9BT20 )

0 3 2 ? NORMAL MATRIX PENCILS L E E , A. PERIOD. MATH. HUNCAR. t , 2 R 7 - 3 0 1 ( 1 9 7 1 ) ( R f 1 9 7 2 , 6 A 3 6 6 I

0 3 2 3 ON THF HERMITE MATRIX OF A POLYNOPiAL l.EHNICK, S . H . LINEAR ALGEBRA ANO APPL. 4 , 4 0 7 - 1 9 ( 1 9 7 1 1 (RZ 1 9 7 2 , 4 A 4 2 3 ) ( Z B L . 2 2 5 , 150091

0 3 2 9 A THEOREM ON RATIONAL ZEROS Of A POLYNOMIAL LEIUHTON, rf. MATH. MAG. 45, 156-8 119721

0 3 3 0 A METHOD FOR SOLVlKG CERTAIN MELL-Pi'SEO NONLINEAR SYSTEMS I EM AR EC HAL, C . C . R. ACAO. S C I . PAR I J 2 7 2 A , 6 0 5 - 7 119711 IRZ 1 9 7 1 , 8R726I I FRENCH)

0 3 3 1 ON EXPONENTS OF P R I M I T I V E NATRICcS L F M I N , M. aUMFft. MATH. 1 8 , 1 5 4 - 6 1 ( 1 9 7 1 1

59

0 3 3 2 GENERALIZATION OF THf G0L0EN-T>-3NPS0N INEQUALITY T R ( E ( A ) E ( B ) > • T R ( k ( A * B ) ) LFNARO. A. INOIAKA U N I V . HATH. J . ? l , 4 5 7 - 6 T ( 1 9 7 1 1 ( Z B L . 2 1 5 , 8 6 )

0 3 3 * AN tlENFNTARV TEST K ' REALITY OF THF ROOTS OF AN ENTIRE FUNCTION MITH POSIT IVE COEFFICIENTS L F V 1 N . A. J . PROBLEM MAT. ANAL. SLOZ. SISTEM W P . 2 , 7 2 - 7 7 ( 1 9 6 8 ) (RUSSIAN I

0 ) 3 4 A GENERALIZATION OF THF CAMI0N-H0FF:4AN THEOREM LEVINGER, B . tf. L I . ,5AH ALGEBRA ANO APPL. 5 , 2 2 7 - 3 2 ( 1 9 7 2 )

0 3 3 5 ON NONNEGATIVE MATRICES L t M l N , N. PACIF IC J . MATH. 3 6 . 7 5 3 - « ( 1 9 7 1 ) (RZ 1 4 7 1 , t ? * M > 0 > I Z B L . 1 9 4 , 6 2 I IMR 4 4 , 2 7 7 2 1

0 3 3 6 A PROBLEM OF HtRSKV CONCERNING NQKilNGULAR DOURLY StOCHA^TIC MATRICES LFtfOW. R. R. LINEAR ALGEBRA ANO A P P l . 5 . 1 9 7 - 2 0 6 ( 1 9 7 2 1

0 3 3 ? ON THE PROPFR VALUES OF SUMS ANO PRODUCTS OF SYMMETRIC MATRICES L I 0 S K 1 I . V . 6 . OOKL. AKAO. NAUR SSSR 7 5 , 7 6 9 - 7 2 ; . 9 5 0 l IRUSSIANI

033R A ifTMOO FOR OEALING MITH ILL-CONDITIONED SYMMETRIC LINEAR SYSTEMS L ; F B L . P . • NOVAKOVA, N . A P I . PAT. 1 5 . 4 0 7 - 1 2 ( 1 9 7 0 1 <RZ 1 9 7 1 . 7 9 9 0 9 1 IMR 4 3 , 4 2 3 1 1 I Z M . . 2 ? ? , 4811

0 3 3 9 RANK ."SESFRVEAS OF * < E * - S V N H 6 T R I C MATRICES L l M . M. J . S . PACIF IC J . MATH. 3 5 . 1 6 9 - 2 4 1 1 9 7 0 ) I Z B L . 2 2 3 . 1 5 0 1 4 1

0 3 4 0 ON COMPUTING THE ZEROS OF A HOLOMCRPHIC FUNCTION L I H A N S K I I , V . G . V Y C I S L I T . NETOOV PROGRAHH. 5 . B7-9B ( 1 9 6 6 1 I Z B L . 2 2 2 . 6 5 3 6 8 1 IRUSSIANI

0 3 4 1 SOME BOUNDARY CONDITIONS FOR A HON3T0NE ANALYSIS OF SYMMETRIC MATRICES LINGOES. J . C . PSYCHOMETRICA 3 6 . 1 9 5 - 2 0 3 ( 1 9 7 1 1 I Z B L . 2 2 2 , 1 5 0 1 1 )

0 3 4 2 ON OPERATOR NORMS OF MATRICES L J U B I C . J U . I . USPEHI HAT. NAUK I B , 4 1 1 1 2 ) 1 6 1 - 4 1 9 * 3 ) IMR 2 7 , 4 0 8 0 ) (RUSSIAN)

0 3 4 3 AN ALGORITHM FOR COMPUTING THE SPECTRAL RADIUS OF AN ARBITRARY MATRIX L J U B I C , J U . I . U K * A I N . MAT. Z . 1 7 , 1 2 8 - 3 5 1 1 9 6 5 1 I MR 3 2 , 6 6 5 7 ) IRZ 1 9 6 5 , 1 0 8 * 3 4 ) (RUSSIAN!

0 3 4 4 ON THE RATE CF CONVERGENCE OF STATIONARY GRAOIFNT RELAXATION L J U B I C . J U . I . Z . VYCISL . M«T. I MAT. F 1 Z . 6 , 3 5 6 - 9 ( 1 9 6 6 ) I N * 3 3 , 6B IO) (RUSSIAN)

0 3 4 5 OBSFRVATIONS ON THF NUMERICAL SOLUTION Of THE BOUNDARY VALUE PROBLEM FOR LAPLACE'S EQUATION ANO THE COMPUTATION OF EIGENVALUES BY THE HETHOO OF NETS LJUSTFRNIK, L . A. TRUDY MAT. I N S T . STEKLOV. 2 0 , 4 9 - 6 4 ( 1 9 4 7 ) (RUSSIAN)

0 3 4 6 SOLUTION OF PROBLEMS I N LINEAR ALGEBRA BY THE METHOD OF CONTINUED FUNCTIONS I MJSTERNIK, L . A. TRUOY SEN. PO FljNKCIONAL'NOMU ANALIZU 2 , 8 5 - 9 0 1 1 9 5 6 ) (RUSSIAN)

0 3 4 7 ON A THFOREN ABOUT THE LOCATION OF EIGENVALUES OF MATRICES LOEMY, R . LINEAR ALGEBRA AND APPL. 4 , 2 3 3 - 4 2 ( 1 9 7 1 ) (RZ 1 9 7 2 . 1A616) ( Z B L . 2 1 9 , 1051

0 3 4 8 THf GEOMETRY OF RECTANGULAR MATRICES ANO ITS APPLICATION TO REAL PROJECTIVE ANO NON-EUCLIOCAN GEOMETRY LO-GEN. H . • RCZENFEL'O, B . A . UY. V Y S l . UCE8. ZAVEO. MAT. I , 2 3 3 - 4 7 I 1 9 5 7 l I R Z 1 9 5 9 , 7 5 8 1 (RUSSIAN)

0 3 4 9 EIGENVALUES OF MATRICES M l T P PRESCRIBED ENTRIES LONbON, 0 . • M INC, H , PROC. AHER. MATH. SOC. 3 4 , 8 - 1 4 I 1972) I Z B L . 2 1 5 , 861

0 3 5 0 NUMERICAL NETHOOS FOR F INOING PROPER VALUES AND PROPER SUBCPACES OF LINEAR OPERATORS LOPSIC. A . M . TRUDY SEM. VERT. TENSOR-ANAL. 7 , 2 3 3 - 5 9 ( 1 9 4 9 * IRUSSIANI

0 3 5 1 EXTREMAL THEOREMS FOR HYPERELLIPSOIOS ANO THEIR APPLICATION TO THE SOLUTION Of SYSTEMS Of LINEAR ALGEBRAIC FOUATIONS LOPSIC, A . N . TRUOY SEN. VEKTOV. TENSOR. ANAL. 9 , 1 8 3 - 9 7 1 1 9 9 2 ) IRUSSIANf

0 3 5 2 STUDIES I N PERTURBATION THEORY. I V . SOLUTION Of EIGENVALUE PROBLEM BY PROJECTION OPERATOR FORMALISM L0HD1N, P . J . PATH. PHYSICS 3 , 9 6 9 - 8 2 ( 1 9 6 2 )

60

0353 ESTIMATES OF ERROR IN THE NUMERICAL INTEGRATION C< OROINARV DIFFERENTIAL EQUATIONS I . L C M ? ; > * U , S . M . I Z V . VYSS. UCE8. 2AVE0. NO. 5 , 5 ? - 9 0 119581 {RUSSIAN)

03S« PROCEDURES FCR THE SOLUMON OF POLYNOMIAL EQUATIONS BY THE NETHOO OF NULLER L f lZOVSKI l , V . S . V Y C t S I . SISTEMV, WYP. 4 4 , 1 6 5 - 6 1 119711 (RUSSIAN)

0355 ON THE METHOD OF ACADEMICIAN A. N . KRVLOV FOR FINOING THE SECULAR EQUATION L U Z I N , •». N . U V . AKAO. NAUK S i S « . ~ T D E l . MAT. ESTEST. NAUK ( 1 9 3 1 1 9 0 3 - 5 8 l l « 3 H (RUSSIAN!

0356 GN SOME PROPERTIES OF THE MULTIPLYING FACTORS I N THE METHOO OF ACADEMICIAK A . 1 . KRYLOV L U Z I N , N . N . I Z V . AKAD. NAUK SSSR. OTOEL MAT. ESTEST. NAUK 1 1 9 3 2 1 5 9 5 - 6 7 8 , 7 3 5 - 6 ? , 1 0 6 5 - 1 1 0 ? U 9 3 2 I {RUSSIANI

0 3 5 7 A P»FT«)0 FOR THE REAL AND COMPLEX ROOTS OF A POLYNOMIAL MfAiJLEY, tf. A. J . SOC. tNOUST. APPL. MATH. 1 0 , 6 5 7 - 6 7 119621

0 3 5 8 ON K GRvl IENT-PROJFCTION MFTHCO FCR SOLVING NON-LINEAR EQUATIONS MAOORSKII, V . M. VFSCI AKftl). NAVUX BSSR SER. F I Z . PAT. NAVUK 1 1 9 7 1 ) NO. 5 , 5 0 - 5 5 119711 IRZ 1 9 7 2 . 2 B 8 0 8 ) {RUSSIAN)

C359 APPLICATION OF A GENERALIZED METHOD OF AITKEN ANO STEFFENSEN TO THE PROBLEM I F M I N I N ' Z I I G A FUNCTION HAFRGCIZ, - . 0 . S I b l R S K . » A T . I . 1 3 , 1 3 3 - 4 1 1 1 9 7 2 1 iRZ 1 9 7 2 , 5 M 0 2 2 ) fRUSSIANI

0 3 6 0 THE BEST ANO OSCILLATING SYMNETRI/EO RELAXATION MAGARIK, V. A . Z . VYCISL . MAT. I PAT. F I Z . 9 , 1 8 7 - 5 1 1 9 6 9 1

0 3 6 1 ON THf CONVERGENCE OF THE METHOO CF CONJUGATE GRAOIENT"; MAISTROVSKI I , G . 0 . Z . VYCISL . H i T . I MAT. F I Z . 1 1 * 1 2 9 1 * 4 ( 1 9 7 1 ) iRZ 1 9 7 2 , I B 1 0 6 0 I {RUSSIAN)

036? ON THF SEPARATION OF THE PROPER VALUES OF A P O S I T I V E MATRIX MAITRF, J . F . REV. FRANCAISE INFORHAT. REO'ERCHE OPERATIONNELLE 4 , 1 1 8 - 2 4 ( 1 9 7 0 ) IRZBL . 2 2 6 , 15003 ) (FRENCH)

0363 EXTREM FC<t CHARACTERISTIC ROOTS OF PRODUCT MATRICES MAKELAINEN, T . COMMENT. PMYS.-MATM. SOC. S C I . FFAN. 3 8 , 2 7 - 5 3 ( 1 9 7 0 1 (RZ 1 9 7 1 , 6A397)

0364 A HIGH-ORDER METHOD OF SOLUTION FOR THF LVAPUN'JV MATRIX EQUATION HAN, f. T . COMPUT. J . 1 4 , 2 9 1 - 2 ( 1 9 7 1 ) (CR i > , 2 3 , 0 3 6 1 (RZ 1 9 7 2 , 1 8 1 0 2 5 )

0365 EXISTENCE, UNIQUENESS, AND COMPUTATION OF THE SOLUTION OF H NONLINEAR SYSTEM MANCIKO, 0 . G . C A l ' O l O 7 , 2 7 5 - 8 7 1 1 9 7 1 ) i » r t L . 2 1 3 , 166 ) ( I T A L I A N )

0366 PERRON-FSOBENIUS PROPERTIES OF AX - LAMBDA BX MANGASARIAN, 0 . V . J . MATH. ANAL. APPL. 3 6 , 8 6 - 1 0 2 I l<?Tl) I Z B L . ? ? 4 , 150101 (RZ 1 9 7 2 , 4 A 4 2 4 I (MR 4 4 , 2 7 7 3 )

0 3 6 7 CONVrRGFNT GENERALIZED MONOTONE SPLITT ING OF MATRICES MANGASARIAN, 0 . L , MATH. COMP. 2 5 , 6 4 9 - 5 3 11971 ) (RZ 1 9 7 2 , 6 8 8 4 0 ) ( Z B L . 2 7 7 , 6 5 0 2 2 )

0363 INEQUALITIES FOR SUBMATRICES MARCUS, M. INEQUALIT IES , I I (PROC. SECOND SYMPOS. U . S . AIR FORCE ACAD. , COLO. ( 1 9 6 7 ) , 2 2 3 - 4 0 , ( 1 9 7 0 1 ACAOEMIC PRESS, NEW YORK I MR 4 3 , ( 2 3 6 ) I Z B L . 2 ? 1 , 123 )

0 3 6 9 LINEAR TRANSFORMATIONS ON MATRICES MARCUS, M. J . RES. NAT. BUR. STANDARDS. 8 . MATH. S C i . 75ft , 1 0 7 - 1 3 ( 1 9 7 1 )

0 3 7 0 THE STRUCTURE OF BASES IN TENSOR SPACES MARCUS, N . A . • r,GRDON, M. R. AMER. ». MA*H. 92, 6 2 3 - 4 0 ( 1 9 7 0 ) (MR 4 2 , 7 6 * 4 )

0 3 7 1 A GENERALIZATION OF THE UNITARY GROUP MARCUS, M. » GORDON, M. R. LINEAR ALGEBRA ANO APPL. 3 , 2 5 5 - 6 7 ( 1 9 7 0 ) I7.BL. 2 0 5 , 481

0372 AN ANALYSIS OF EQUALITY I N CERTAIN MATRIX INEQUALIT IES . I I MARCUS, M. • GORDON, N . R. S(AM J. NUMER. ANAL. 9 , 1 3 0 - 6 ( 1 9 7 2 )

0373 FACTORIZATIONS OF COMPLETELY POSIT IVE MATRICES MARXHAM, T . L . PfinC. CAMBRIDGE P H I L . SOC. 6 9 , 5 3 - 8 ( 1 9 7 1 ) ( Z B L . 2 0 5 , 3 3 0 ) (RZ 1 9 7 1 , AA40?)

61

0 3 7 * OM THE QUESTION OF THE ESTIMATE OF AN UNREMOVABLE ERROR I N THE SOLUTION OF LINEAR SYSTEMS M A R A J Z E , J U . ! . 12V . VYSS. 'JCEiV; ZAVEO. GEOD. I AEP.OFOT. ( 1 9 6 9 ) , NO. 4 , 3 4 - 8 1 1 ^ 9 ) 'UK 4 3 , b?20) (RUSS(AN)

0375 THF JORDAN METHOC OF CRIMINATION ANO ITS APPLICATIONS MARUSCIAC. I . GAZ. MAT. S e n . ATS, 2 9 1 - 3 0 0 ( 1 9 7 0 ) ( 7 R L . 2 i > , 4 6 1 I ROMAN!AN1

0 3 7 6 ON CERTAIN MATRICES U T I L I Z A 8 L E AS TEST MATRICES NARZULLI , P . CALCOLC B, 8 1 - S (19711 t*Z 1972, 1A620I IZ8L. 222, 150051 (ITAtlANI

0 3 7 7 A COMPARISON OF NOOIFIEO NEhTi.'N METHOOS FOR UNCONSTRAINED OPTIMIZATION MATTHFHS, A . <- OAVIES, 0 . COMPUT. 4 . I * . 2 « 3 - 4 ( 1 9 7 1 ) H Z 1 9 7 ? , 1B1079)

0 3 7 8 SOLUTION CF THE PAKTIAL PRCBLEM CF PROPER VALUES OF POLYNOMIAL MATRICES XAVLJANOVA, P. I . ZAP. KAUCN. SfcH. FFNINGRAD. OTOEL. MAT. I N S I . STEKLOV I L O N I I 1 8 . • ' 0 - 2 4 119701 CRZ 1 9 7 1 , 6BR54) (RUSSIAN)

0 3 7 9 ON A METHOD FOR CONSTRUCTING MATRIX SOLUTIONS OF POLYNOMIAL MATRICES MAVLJANOVA, P . I . ZAP. NAUCM. S E N . LENINGRAD. OTOEL. MAT. I N S T . STEM.OV I L O N I 1 1 8 , 1 2 5 - 3 7 ( 1 9 7 1 ) (RZ 1 9 7 1 , 5 8 9 8 3 ) IRL3S lANt

0 3 8 0 APPLICATION OF ORTHOGONAL TRANSFORMATIONS TO THE DETERMINATION OF PROPER VALUES AND VECTORS OF POLYNCMIAL MATRICES MAVLJANOVA, P . I . VOPR. V V C I S L . I P R I K . NAT. TASKENT. VVP. 1 , 6 8 - 7 3 ( 1 9 7 0 1 (RZ 1 9 7 1 , 5 8 9 9 3 ) -RUSSIAN)

0 3 8 1 OH POWfl METHODS OF DETERMINING PROPcR VALUES ANO PROPER VECTORS OF POLYNOMIAL MATRICES MAVLJANOVA, P . I . VOPR. V V C I - x , , I P R I M . HAT. TASKENT. VYP. 3 9 , c.3-95 1 1 9 7 0 1 (RZ 1 9 7 1 . 5 8 9 9 0 1 (RUSSiANI

0 ) 8 2 COMMON F IXED POINTS OF COMMUTING CONTINUOUS FUNCTIONS ON TH£ UNIT INTERVAL MAXFIELO, J . E . • MOURANT, H. J . NEOERL. AKAD. UETENSCH. PROC. SER. A 6 8 , 6 * 8 - 7 0 ( 1 9 6 9 ) (MR 3 2 , 1 6 9 3 )

0 3 8 3 ON A CLASS OF SYSTEMS OF CCPPLEX INTERVAL EQUATIONS I N A FORM SUITABLE FOR ITERATING MAYER, 0 . COMPUTING (ARCH. ELEKTRON. R=CH»cN.) 6 , 1 0 4 - 6 I 19701 IRZ 1 9 7 1 , 6 8 8 * ^ 1 (GERMAN)

0 3 8 4 ON INTERVAL ITERATIVF PROCESSES FOR SYSTEMS OF LINEAR EQUATIONS AND MORE GENERAL SYSTEMS OF INTERVAL EQUATIONS MAYER. Q . Z . ANGEW. MATH. MECH. 5 1 , 1 1 7 - 2 4 ( 1 V 7 1 ) (RZ 1 9 7 1 , 1 0 S 7 2 3 ) (MR 4 4 , 12021 (GERMAN)

0 3 9 5 TRACE JUNCTIONS. I MERRIS, R. OUKE N A T * . J . 3 8 , 5 2 7 - 3 0 1 1 9 7 1 ) (MR 4 3 , 6 2 2 6 ) (RZ 1 9 7 2 , 4 A 4 1 3 ) ( Z B L . 2 ? 3 , 1 5 0 1 7 )

0 1 4 6 AN IMPROVEMENT OF THE FISCHER INEQUALITY MERRIS, R. J . RES. NAT. aw. STANDARDS SECT. 8 , 2 5 , 7 7 - 8 0 1 1 9 7 1 ) (RZ 1 9 7 2 , 7 A 3 0 2 )

T 3 8 7 A GENERALIZATION OF THE ASSOCIATED TRANSFORMATION MERRIS, R. LINEAR ALG'BRA AND APPL. 4 , 3 9 3 - 4 0 6 ( 1 9 7 1 ) ( Z B L . 2 2 3 , 1 5 0 1 2 ) IRZ 1 9 7 2 , 4A4'33I

03S8 A DOMINANCE THEOREM FOR PARTITIONED HERMIT IAN MATRICES MERRIS, R. TRANS. AMER. MATH. SOC. 1 6 * , 3 4 1 - 5 2 ( 1 9 7 2 )

0 3 8 9 MONOTONICITY OF POSIT IVE S E P l O E F I M T E HERMIT!AN MATRICES MERRIS, R. • P IERCE, S . PROC. AMFR.. MATH. SOC. 3 1 , 4 3 7 - 4 0 ( 1 9 7 2 )

0 3 9 0 REPRESENTATIONS FOR ( 1 ) - ANO I 1 , 2 1 - i N V F R S E S FOR PARTITIONED MATRICES MEYER, C . 0 , , JR . LINEAR ALGEBRA AND APPL. 4 , 2 2 1 - 3 2 ( 1 9 7 1 ) ( Z S L . 7 1 7 , 5 4 ) (RZ 1 9 7 2 * I A 6 1 3 ) (MR 4 3 , 7 4 3 9 )

0 1 9 1 A CONSTRUCTIVE METHOD OF SOLVING THE LIAPOUNOV EQUATION FOR COMPLEX MATRICES MEVFR-SPASCHE, R. NUMER. MATH. 1 9 , 4 3 3 - 8 1 1 9 7 2 )

0 3 9 2 METHODS OF JACOBI , OAUSS-SE lDE l , OVER (UNDER) MELAXAflON BY BLOCKS, APPL1E0 TO A CLASS OF NONLINEAR PROBLEMS M I F l l O U , J . C . C . R. ACAD. S C I . P A R I S , SER. A 2 7 3 , 1 2 5 7 - 6 0 ( 1 9 7 2 ) (FRENCH)

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0 3 7 4 ON THE QUESTION OF THE ESTIMATE OF AN UNREMOVABLE ERROR I N THE SOLUTION OF LINEAR SYSTEMS MARKUZE, J U . I . 12V . VYSS. UCEON. ZAVEO. GEOO. I AEP.OFOT. ( 1 9 6 9 ) , NO. 4 , 3 4 - 8 1 1 9 6 9 1 If* 4 3 , 8 ? 3 0 ) (RUSSIAN)

0 3 7 5 THE JORDAN METHOD OF ELIMINATION AND I T S APPLICATIONS MARUSC1AC, I . GAZ. MAT. SER. A7S, 291-100 ( 1 9 7 0 1 (ZRL. 2 0 5 , 4 6 ) I ROMAN! AN I

0 3 7 6 ON CERTAIN MATRICES UTIL IZABLE * - TEST MATRICES MARZULLl , P . CALCOLU 8 , 01-ft ( 1 9 7 1 ) IRZ 197? , 1A620I HBL. 2 2 2 . 150051 I I T A L I A N )

0 3 7 7 A COMPARISON OF MODIFIEO N E N T O N METHODS FOR UNCONSTRAINED OPTIMIZATION NATTHFwS, A . • OAVIES. 0 . CONPUT. J . 1 4 , 2 9 3 - 4 1 1 9 7 1 1 IRZ 1 9 7 2 , 1 0 1 0 7 9 1

0 3 7 8 SOLUTION OF THE PARTIAL PROBLEM CF PROPER VALUES OF POLYNOMIAL MATRICES MAVLJANOVA, P. I . Z A P . KJkJCH. SEN. LFNiNGRAO. OTOEL. MAT. I N S T . STEKLOV I L O t l 1 1 8 , 1 1 6 - 2 4 1 1 9 7 0 ) (RZ 1 9 7 1 , 6 8 8 5 4 ) (RUSSIAN)

0 3 7 9 ON A METHOD FOR CONSTRUCTING MATRIX SOLUTIONS OF POLYNOM.AL MATRICES MAVLJANOVA, P. I . ZAP. NAUCN. SEN. LFNINCRAO. OTOEL. HAT. I N S T . STEXLOV I L O M I ) 1 8 , 1 2 5 - 3 7 ( 1 9 7 1 ) (RZ 1 9 7 1 , 5 8 9 8 3 ) (RUSSIAN)

0 3 8 0 APPLICATION OF ORTHOGONAL TRANSFORMATIONS «'0 THE DETERMINATION OF PROPER VALUES ANO VECTORS OF POLYNOMIAL MATRICES MAVLJANOVA, P. I . VOPK. V V C I S L . I P R I K . MAT. TASKENT. VYP. 1 , 6 8 - 7 3 119701 (RZ 1 9 7 1 , 5 6 9 9 3 1 (RUSSIAN)

0 3 8 1 OH POMCR NFTM005 OF DETERMINING PROPER VALUES ANO PROPER VECTORS OF POLYNOMIAL MATRICES MAVLJANOVA, P. I . VOPR. V f . I S l . I P P I K L . NAT. TASKENT. V Y P . 3 9 , 8 8 - 9 5 ( 1 9 7 0 ) (RZ 1 9 7 1 , S 8 9 S 0 ) (RUSSIAN)

0 3 8 2 COMMON F I X E D POINTS OF COMMUTING CONTINUOUS FUNCTIONS ON THE UNIT INTERVAL MAXFIELO, J . E . • MOURANT, H . J . MED*RL. AKAD. MFTENSCH. PROC. SER. A6S, 6 6 8 - 7 0 ( 1 9 6 5 ) (MR 3 2 , 1 6 9 3 )

0 3 8 3 ON A CLASS OF SYSTEMS OF CO"FLEX INTERVAL EOUATIONS I N A FORM SUITABLE FOR ITERATING MAYER, 0 . COMPUTING IARCH. ELEKTRON. RECHNE^.I 6 , 1 0 4 - 6 I 19701 (RZ 1 9 7 1 , * B 8 4 9 I (GERMAN)

0 3 8 4 ON INTERVAL ITERATIVE PROCESSES FOR SYSTEMS OF LINEAR EQUATIONS AND MORE GENERAL SYSTEMS OF INTERVAL EQUATIONS MAYER, 0 . 2 . ANGEH. MATH. MECH. 5 1 . 1 1 7 - 2 4 ( 1 9 7 1 ) (RZ 1 9 7 1 , 0 8 7 2 3 ) (MR 4 4 * 1 2 0 2 ) (GERMAN)

0 3 8 5 TRACE FUNCTIONS. I ME. tRIS, R. OUKE PATH. J . 3 8 , 5 2 7 - 3 0 1 1 9 7 1 ) (MR 4 3 . 6 2 2 6 ) IR2 1 9 7 2 , 4 A 4 1 3 I i Z B L . 2 2 3 . 15017)

0 3 8 6 AN IMPROVEMENT OF THE F I S C l . . . INEQUALITY NERRIS. R. J . RES. N A T . 8UR. STANDARDS SECT. B . 2 5 , 7 7 - 8 0 119711 (RZ 1 4 7 2 , 7 A 3 0 2 )

0 3 8 7 A GENERALIZATION OF THE ASSOCIATED TRANSFORMATION MERRIS, R. LINEAR ALGFrtRA AND APPL. 4 , 3 9 3 - 4 0 6 ( 1 9 7 1 ) I Z B L . 2 2 3 , i 5 0 1 2 | (RZ 1 9 7 2 , 4 A 4 3 3 )

0 3 8 8 A OOMINANC THEOSEN FO* PARTITIONED HERMIT IAN MATRICES MERRIS, R. TRANS. AMER. MATH. S i K . 1 6 4 , 3 4 1 - 5 2 ( 1 9 7 2 1

0 3 8 9 HONOTPNICITV OF POSIT IVE S E P ' O E F I M T E HERMIT I AN MATRICES MERRIS, R. • P IERCE, S . PROC. AMFR. MATH. SOC. 3 1 , 4 3 7 - 4 0 119721

0 3 9 0 REPRESENTATIONS FOR ( I t - ANO I 1 , 2 ) - I N V F R S E S FOR PARTITIONED MATRICES MEYER, C . 0 . , JR. LINEAR AlGfSRA ANO APPL. 4 , 2 2 1 - 3 2 ( 1 9 7 : ) I Z B L . 2 1 7 , 5 4 ) IRZ 1 9 7 2 , 1A613) (MR 4 3 , 7 4 3 9 )

0 3 9 1 A CONSTRUCTIVE METHOD OF SOLVING THE LIAPOUNOV EQUATION FOR COMPLEX MATRICES MEVFR-SPASCHF, R. NUMER. MATH. 1 9 , 4 3 3 - 8 I I 9 7 2 I

0 3 9 2 METHOOS DF JACOBI , G A U S S - S E l D f I , OVER IUNOER) RELAXATION 8T BLOCKS, APPLIEO TO A CLASS OF NONLINEAR PROBLEMS M I F l l O U , J . C . C . R. ACAD. S C I . P A R I S , SER. A 2 7 3 , 1 2 5 7 - 6 0 1 1 9 7 2 1 FRENCH)

62

0 3 4 ) A NOTE ON THE INSTABIL ITY OF GAUSSIAN EL IMINATION MILLER, M. NOROISK. T IOSKR. INFQRMATICNS&EHAKOLlNG ( B I T ) U , 1,22-*. I 19711

0 1 9 * ON THE S T A P U U Y OF F I N I T E NUMERICAL PROCESSES MILLER, M. NUNER. MATH. 1 9 , 4 2 5 - 3 ? I 1 9 T 2 I ( Z B L . 2 2 7 , 6 5 0 3 2 )

0 ) 9 9 NEARLY DECOMPOSABLE MATRICES M!NC, H . LINEAR VGEBRA AND APPL. ', 1B1 -7 ( 1 9 7 2 )

0 3 c 6 ANALYTIC I N E S U A l l T I E S M t T K l N O V l C . f . S . OIE GRUNOLEHREN DER H A T H E M A T I S C H E K WlSSENSCHAFTEN, BANO 1 6 5 . SPRINGE" tfERLAG, NEW YORK-BERLIN. X I I • 4 0 0 PP . 1 1 9 7 0 ) (MR 4 ) , 4 4 6 )

0 3 9 7 NONLINEAR GENERALIZATIONS OF M»Tft|X DIAGONAL DOMINANCE WITH APPLICATION TO £AUSS-SE!OEL ITERATIONS MORE. J . J . SIAM J . NUMER. ANAL. 9 , 3 5 T - 7 8 ( 1 S T 2 »

0398 SYMPOSIUM ON THE THEORY OF NUMERICAL ANALYSIS MORRIS. J . I . , ED. HFLD I N OUNOEE, SCOTLAND. SEPT vMBE r . 1 5 - 2 3 . 1 9 7 0 . LECTURE MOTES I N MATHEMATICS. VOL. l 9 3 . BERLIN , HEIDELBERG. NEU YORK. SPRINGER-VERLAG. V I • 152 PP. U 9 7 1 ) ( Z B L . 2 1 8 , 4 7 2 1

0 3 9 9 INCLUSION THEOREMS FOR A SECTfON CF A MATRIX MORRIS, H . L . NUMER. MATH. 1 8 , 4 5 7 - 6 4 ( 1 9 7 2 ) IR2 1 9 7 ? . 7B860 I

0 4 0 0 ON THE WEAK COLUMN-SUM CRITERION FOR NONLINEAR SYSTEMS OF EQUATIONS MULLER. * . H . COMPUTING I ARCH. ELEKTRCN, RECHNEN) 7 . 1 5 3 - 7 1 ( 1 9 7 1 ) IRZ 1 9 7 2 , 2AT96 ) I Z B L . 2 2 4 . 6 5 0 1 6 ) (GERMAN)

0 4 0 1 INVERSION OF RATIONAL PCLVNOUAL MATRICES MUNRO, N. • ZAXIAN. V . ELECTRON. LETTERS 6 . 6 2 9 - 3 0 1 1 9 7 0 ) (RZ 1 9 7 1 , 6BR52 I

0 4 0 2 ITERATIVE COMPUTATION OF EIGENVALUES AND EIGENVECTORS MTHOUT RCvUlREHENT OF I N I T I A L APPROXIMATIONS NASITTA, K H . • GERFELO. M. Z . ANGEU. MATH. HECH. 5 1 , 3 5 3 - 8 ( i - » 7 i > IRZ 1 9 7 2 , 1 6 1 0 5 3 ) ( Z B L . 2 2 1 , * 7 8 ) I G E R M M )

0 4 0 3 / .OORITHM FOR DIAGONALIZATION OF LARGE MATRICES NES6ET. R. K. J . CHEN. PHYSICS 4 3 , 3 1 1 - 2 11965 )

0 4 0 4 ON THE SMITH NORMAL FORM NEWMAN, M. J . RES. NAT . BUR. STANDARDS SECT. B 2 5 b , 8 * - • ( 1 9 7 1 )

0405 A SIMPLE OERIVATION OF MUTTON'S FORMULA FOR THE COMPUTATION OF ROOTS NEWTON, R. F . AMER. MATH. P3NTHLY 3 4 , 3 * 8 - 9 1 1 9 2 7 )

0406 ERRCR BOUNDS FOR APPROXIMATIONS TC ZEROS OF POLYNOMIALS N ICKEL. K . COMPUTING (ARCH. ELECTRON. RECHfcEN.) 6 , 9 - 2 7 1 1 9 7 0 ) (RZ 1 9 7 1 ,

159) (MR 4 3 , 5 7 5 1 ) (GERMAN)

0407 TERMINAMON CRITERION AND NUMERICAL CONVERGENCE NICKEL, K. • R I T T E R , K. SIAM J . NUMER. ANAL. 9 , 2 7 7 - 8 3 1 1 9 7 2 )

0408 NOYE ON THE COMPUTATION OF THE MAXIMAL EIGENVALUE OF A NONNEGATIVE IRREDUCIBLE MATRIX NODA. T . NUMER. MATH. 1 7 , 3 8 2 - 6 ( 1 9 7 1 ; ( Z 8 L . 2 2 6 , / - 5 0 2 6 I l?l 1 9 7 2 , 3A698)

0 4 0 9 A COROLLARY TO THE THEOREM OF PERRON-FROBENIUS OOIARD, C . REV. FRANCAISE INFOkMAT. RECHERCHE OPERATIONNELLE >, 1 2 4 - 9 ( 1 9 7 1 1 (RZ 1 9 7 2 . * A 4 2 7 ) (FRENCH)

0 4 1 0 UN STOCHASTIC AND DOUBLY STOCHASTIC MATRICES OE O L I V c I R A , G . N . REV1STA F A C . C I . U N I V . COIMBfcA 4 1 . 224 P P . ( 1 9 6 8 ) (PORTUGUESE)

0 4 1 1 S O * : REMARKS ON TH? LOCALIZATION CF THE CHARACTERISTIC ROOTS OF A MATRIX AND ON CONDITIONS FOR THE REALITY AND S IMPL IC ITY OF ITS SPECTRUM OF C I V E I R A , G. N . REC. C I . MAT. SEP. 4 1 , 1 -7 11969 ) ( Z B L . 2 2 1 . 1231

0412 NOrF ON THE ADDITIVE INVERSE EIGENVALUE PROBLEM OE O L I V E I R A , G. N . REV. FAC. C I . U N I V . LISROA A 1 3 , 2 1 - 6 • 1 9 6 9 - 7 0 » IRZ 1 9 7 2 , 5B1012*

0 4 1 3 INVERSE EIGENVALUE PROBLEMS FCft COhPLEX MATRICES DE O L I V E I R A , G. N . COMPUTING (ARCK. ELEKTRfN. RECHNENI 6 , 3 3 9 - 4 1 1 1 9 7 0 IRZ 1 9 ? l f

10B734) ( Z B L . 2 2 1 . 121 )

63

0 * 1 * MATRICES WITH PRESCRIBED PRINCIPAL ELEMENTS A NO SINT-UIAR VALUES OE O l I V E I R A . G . N . CANADIAN MATH. BC'-L. 1 * . 2 * 7 - 9 ( 1 9 7 1 ) IRZ 1 9 7 1 , 1 2 A * S t )

0 * 1 5 MATRICES MlTH PRESCRIBE!) CHARACTERSTIC POLYNOMIAL ANC A PRESCAI8E0 SUBMATRIX I I I DE OL IVE IRA, G . N . NCNATSH. HATH. 7 5 . * * l - 6 ( I S 7 1 )

0 * 1 6 ON THF CHARACTERISTIC VECTORS OF A MATRIX n c n L ( V E I R A , G N LIN5AR ALGEftRA ANO APPL. 5 , 1 8 9 - 9 4 I 197?I

0 * 1 7 ON THF MULTIPLICATIVE INVFRSE EIGENVALUE PROBLEM OE P.:IVEIRo. G . N . CANAD. MATH. NULL. 1 5 ( 2 ) 1 8 9 - 9 1 ' 1 9 7 2 1

0 * 1 8 LOCAL ANO GLOBAL CtNVERGENCE OF GENERALIZED LINEAR ITERATIONS ORTEGA, J . » . • RHEINBOLDT, M. C . STUDIES I N NUNFRICAl ANALYSIS , 2 , NUMERICAL SOLUTIONS OF NONLINEAR PROBLEMS «SYMPOSIA, : I A P . PHILADELPHIA, PA. 1 1 9 6 8 1 , P P . Mi-Hi. 119701 (MR * 3 , * 2 * 2 l ( Z B l . 22*. 6 5 0 1 7 1

C * 1 9 A GENERAL CONVERGENCE RESULT FOR IMCO'STRAINED MIN IMIZATION METHODS ORTEGA, J . h . • RHEINBOLOT, M . C . S IAN J . NUMER. ANAL. 9 , * 0 ~ 3 C 9 7 2 )

0 * 2 0 SCMF ALGORITHMS F0« SOLVING SYSTEMS OF LINEAR EQUATIONS WITH RECTANGULAR MATRICES OSTAPCUK, V . S . V V C I S I . . P R U l . MAT. ( K l c V I VVP. 1 2 , 7 8 - 8 6 11970 ) l * Z 1 9 7 1 , 5B9S0) IRUSSIANI

0 * 2 1 A NEH P300F GF MAYfcSuORTH'S QUOTIENT FORMULA FOR SCHUR COMPLEMENTS OSTRnMSKI. A . LINEAR ALGEBRA ANO APPL. * , 3 8 9 - 9 2 1 1 9 7 1 ) I Z B L . 7 2 * , 150031

0 * 2 2 SOME PROPERTIES OF REDUCED POLYNOMIAL EQUATIONS O S T R O M S K I , A . M. S U M J . NUKFR. ANAL. 8 , 6 2 3 - 3 8 ( 1 ? 7 | | ( Z B L . 1 9 9 , * 9 9 l (RZ 1 9 7 7 , 61(858)

0 * 7 3 MEtt ALGORITHMS OF 01SCRETI2EO NEttTON-LIKE METHODS PANKIFMICZ, h . BULL. ACAO. POLON. S C I . S E P . S C I . MATH. ASTR0NOM. PHYS. 1 8 , 5 3 7 - * 0 1 1 9 7 0 ) (MR * 3 , 5 7 1 8 )

0 * 2 4 OPTIMUM CHOICE OF I N I T I A L A PPROXI PAT I O l I N INTERPOL/./'.ON METHODS OF SOLVING EQUATIONS PASZKCMSKI, S . ZASTOS. MAT. 1 2 , 2 0 1 - 1 6 1 1 9 7 1 ) (RZ 1 9 7 2 , * A 1 0 8 2 )

0 * 2 5 THE MATHEMATICAL EXPECTATION OF THE NORN OF THE ERROR VECTOR PERAOZF, 0 . r.. S I B I R S K . M A T H Z . 1 1 , 1 1 8 8 - 9 0 ( 1 9 7 0 1 (MR * 2 , 7 0 3 1 1 (RUSSIAN)

0 * 2 6 ON THE COMPARISON OF PROBABIL ISTIC ANO STATIONARY ESTIMATES OF THE F INAL ERROR I N ITERATIVE PROCESSES PERAOZE, 0 . G. Z . V Y C I S L . MAT. I MAT. F I Z . 1 2 , * 6 5 - 7 ( 1 9 7 7 ) (RZ 1 9 7 2 . 7 8 8 5 3 1 (RUSSIAN)

0 * 2 7 PRACTICAL PROBLEMS ARISING I N THE ' O L U T I O * OF POLYNOMIAL EQUATIONS PETERS. G. • WILKINSON, J . H . J . ZNST. MATH. APPL. 8 , 1 6 - 3 5 11971) (RZ 1 9 7 2 . 7 8 5 1 1 )

0 * 2 8 NESTING THEOREMS FO» EIGENVALUES PETERSSON, H . ARCH. MATH. (BASEL) 2 1 , 5 7 * - T ( 1 9 7 1 ) (MR * * , 1 6 8 1 ) I Z B L . ? ? * , 150111 (GERMAN!

0 * 2 9 A GENERALIZED XFFLECTrOK MATRIX PETK0Y, M. HOCGAR. AKAO. NAJK. O 'OEL. MAT. F I Z . NAUK. I Z V . F I Z . I N S T . S ANCE. I I , 7 5 7 - 6 0 ( 1 9 7 0 ) I If*.. 2 2 3 . 1 3 0 1 6 ) (BULGARIAN)

0 * 3 0 GENERALIZATION OF THE COMBINATION 0 * NEWTON'S METHOD WITH THE METHOD OF FALSE POSIT ION PFLANZ. E . i . ANGEM. MATH. MECH. 2 8 , 1 U - 2 2 1 1 9 * 8 1 (MR 9 , 6 2 1 ) (GERMAN)

0 * 3 1 ON DETERMINING RFM. ZFRCS OF REAL FUNG'S IOMS OF ONE VARIABLE PFLANZ, E. Z . ANGFW. MATH. MFCH. 2 9 , 8 5 - 9 1 ( 1 9 * 9 ) (MR 1 0 , * 7 2 l (GERMAN'.

O * 1 > THE TRIANGULAR i lECOrPOSITlON OF HANKEL MATRICES P H I L L I E S , J . L. HATH. C O - " . ?5 , 5 9 9 - 6 0 2 «19711 (RZ 1 9 7 2 , ? A * 9 6 I ( Z R L . 2 2 2 , 6 5 0 5 ) )

0 * 3 ) CORRECTION OF A SUM IN FLOATING-PCINT ARITHMETIC PICHAT, M. HUMFR. MATH. 1 9 , * 0 0 - 6 11972? IFRjFNCH)

u * 3 * INEQUALlTJES FOR PARTITIONED POSITIVE S E I O F F I N I T E MATRICES P I L L J S . J . 0 . LINEAR ALGEBRA ANO APPL. * . 7 9 - 9 * ( 1 9 7 1 1 (RZ 1 9 7 1 , 8 * 2 8 6 1

64

0 * 3 S LINEAR OPERATORS AND THEIR PARTITIONED NATRICFS P l L L l S . J . ARCH. waTrt . 22, 7 * - « 4 l l < ? 7 I I CM* 4 4 , 27641 (RZ 1 9 7 2 , 14609 )

0 4 3 6 A QUAORATIC PROBLEM OF PROPER VALUES PLAKCHARO. J . F . P . F . mUl. DIRECTION ETUOES RECHERCHES. S f R . C \C ? . 1 9 7 1 , 4 J - " * I I 9 7 | » {FRENCH)

0 * 1 1 THE GENERALIZED INVERSE OF A NONNEGATIVE MATRIX PLEMMCNS. R. J . • C l I N E , R . E . PROC. ANEA. HATH. S I C . 3 1 . 4 6 - 5 0 ( 1 9 7 2 1 ( *A 4 4 , 2 7 5 9 )

0 4 » • a CLASS OF ITERATIVE NFTHOOS FOR HXONORPHIC FUNCTIONS PONENTALE, T . NU-ER. MATH. l « , 1 9 3 - 2 0 3 119711 ( ZB'. . 2 1 3 , 41»> (RZ 1 9 7 2 . SB1024)

0 4 3 4 HEAR SPECTRAL INVERSES KHICP ARE A R T U l ISOMETRICS POOLE. G . 0 . « ROvBLtON, 7 . L . S I AM J . A P P l . * m . 2 3 . 1 7 1 - 2 119721

0 4 4 0 ON RATES OF CONVfi iENCE OF JACOB I ANO GAUSS-SEIOFL METHODS FOR N-FUNCIIONS PORSCHING, T . a . S I AM J . MINER. ANAL. 8 . ¥ 7 5 - 8 2 ( 1 9 7 1 1 ICR 1 3 . 2 3 . 0 3 4 1 (RZ 1 9 7 2 , S B 1 0 2 3 I

0 4 4 1 ON ACCELERATING THE CONVERGENCE O r THE METHOD OF STEEPEST OESCSNT POTOTOVA, A . F , Z . v r C I S t . MAT. I NAT. F I Z . 1 1 , 7 4 9 - 5 2 1 1 9 7 1 1 IRZ 1 9 7 1 , 108 72S I IRUSSIANI

044? ON THE CONVERGENCE OF » : * . L I A B L E METRIC ALGORITHM POMCLL. H . J . D . J . I N S T . N A . M . « P ? L . 7 , 2 1 - 3 6 C19711 INR 4 3 . S69BI

C443 APPLICATION CF O S C U L A T I O N MATRICES TO O I T H l S I 0 N - C O - W E C T I 0 N EQUATIONS P R I C E . H . S . • VARGA, R . S . • NARKFN. J . E . J . HATH. ANO RHYS. 4 5 . 3 0 1 - 1 1 ( 1 9 6 6 1 I MR 3 4 . 7 0 4 6 ! CZBL. 1 4 3 , 3»3

0 4 4 4 A CEOPETAlC APPROACH TO THE THEORY O* NONNVGATIVE MATRICES PULLMAN. N . J . LINEAR ALGEBRA ANO A P P l . 4 , 2 9 7 - 3 1 2 I 1 9 7 1 1 I Z B L . 2 2 6 . 1 9 0 0 3 1 fRZ 1 9 7 2 . 6 A 3 7 B I

0 4 * 5 FR ' DIAGONAL I Z AT ION JF COMPLETELY *SONNEGA?IVE MATRICES RAIMEV. J . W. • HA4&TLER. G . i . MATH. CORP. 2 6 , 1 2 1 - 8 1 1 9 7 2 1

0 4 4 6 ON CIFFERENTIATIRC ERROR TERNS RALSTON, A . ANFR. MATH. MONTHLY 7 0 , 1 8 7 - 9 ( 1 9 * 3 1

044 7 A M T R I X 0ECCMP75 I T ION THEOREM RAMAMISHNAM. A . J . HATH. ANAL. A P n . 4 0 . 9 6 - 8 ( 1 9 7 2 1

0 4 4 8 GENERAL IZEO INVCRSE .IF NATRICtS AND ITS APPLICATIONS RAOAKRISMNA RAO, C . • M I T R A , SUJ IT KUMAR JOMN NILEY ANO SONS. I N C . . NEW YORK, LJNOON, SYDNEY. TORONTO. X IV • 2 4 0 P P . 1 1 9 7 1 1

•444) FURTHER CONTRIBUTIONS TO THE THEORY OF GENERALIZEO INVERSES OF MATRICES ANO I T S APPLICATIONS RAOAKRISHNA RAO, C . • N | T R A , S l j J I T KUMAR SANKHVA, SEN. A . 2 8 9 - 3 O 0 ( 1 9 7 2 1

C i i v DETERMINATION OF A MATRIX R> I T S SUBCLASSES 0 * GENERALIZED INVERSES RAOHAKR|S»CA RAO, C . • N lTRA, SUJIT K'JMAR • BM|r*&AJIKARA», P . SAARHYA SER. A . 3 4 . 9 - « 1 1 4 7 2 1

0 4 ) 1 A NCTE ON THE STABILITY OF GAUSSIAN ELIMINATION R E I O , J . X . J . I N S T . H 7 . H . APPL. S . 3 7 4 - 9 ' 1 9 7 1 1 IAZ 1 9 7 2 , 6 9 * 3 9 ) I Z B L . 2 2 9 , 6903 f t )

9 4 9 2 THF USE OF CuNJUGATE GRADIENTS FOR SYSTEMS OF LINEAR EOUATIONS POSSESSING PROPERTY A AfclO. J. K. SIAM J . Wjmt*. ANAL. 9 , 3 2 9 - 3 2 1 1 9 7 2 1

0 4 5 1 SUMfMCRL STABIL ITY OF THE HOMER ALGORITHM REINER. H. I . AMGEW. HATH. MECH. 5 1 . T T 1 - 2 1 1 9 7 1 1 ( Z B l . 2 2 9 . 6 9 0 4 7 ) (GERMAN)

0 4 9 * A STARLE. RATIONAL OR ALGORITHM FOR THE COMPUTATION OF THE EIGENVALUES OF AN HERMIT I A N , T« 1 (;! ft&ONAl MATRIX R E I N S C H , C . <r. MATH, COMP. 2 5 , 5 9 1 - 7 ! 1 9 7 D IRZ 1 9 7 1 , 2 M 0 3 I ( Z B i . . 222* 6 9 0 4 4

0 4 9 5 ON A CHARACTERIZATION OF T R I - O I A & A A L MATRICES BY M, FIEDLER RHflNBOLOT, N . C. • SHEPHERD, R. A. UNIVERSITY OF MARYLAND, COMPUTER SCIENCE CENTER. TECHNICAL NOTE T R - ! 7 4 . A J - 1 0 6 7 ( 1 9 7 1 1

65

0 * * 6 ON T H F OAVlOON-RETCHEtt-POuELL METHOD FOR M I N I M I Z I N G FUNCTIONS R I R I E f c f . G . NAwAGEM&NT S C I . 1 6 , 5 7 2 - 9 2 U 9 6 9 / - » 0 ) (MR 4 3 . 1 3 9 4 I (FRENCH)

0 4 9 7 M A T * ! I REPRESENTATIONS OF N C INEAR EQUATION ITERATIONS - AFFUCATtON TO PARALLEL CONFUTATION R I C E . . . . R . NATK. CCNF. 2 5 . 6 3 9 - 4 7 119711

C-5A RENARK ON THF CASE OF EQUALITY I N AN INEQUALITY RICHTFR, G . M I S S . I . HOCHSCHULE V E R K E H R S M E S S E K FRIEORICH L I S T DRESDEN 1 6 , 6 6 1 - 2 ( 1 9 6 9 ) I Z 8 L . 2 1 1 . 3 5 0 ) IGERNANI

0 4 9 9 INTRODUCTION OF A CONDITIONING FARANETER I N CONFUTING CHARACTERISTIC EQUATIONS R I F S S , R. 0 . PRCC. IEEE 5 9 . 1 2 7 9 - 6 H 9 7 1 ) |R2 1 9 7 2 . 2 * 1 0 3 9 )

0 4 6 0 A CMC ICE OF STARTING VECTORS I N R a A X A T I O M NFTHOOS RIGLER. A . K . J . COMPUT. PHVS. 4 . 4 1 9 - 2 3 119691 I Z 8 L . 2 1 3 . 1631

0 4 6 1 UN OPTIMAL « 0 O T - F I N D I N G ALGORITHMS RISSANEN. J . J . HATH. ANAL. A F F l . 3 6 , 2 2 0 - 9 1 1 9 ? ' ) INR 4 3 . 7 0 6 0 ) ( R Z 1 9 7 2 , 4 B 1 0 8 3 )

0 4 6 2 NORMS ANO ALGORITHMS ASSOCIA/EO WITH A CUT CF A MATRIX R O * E * T . f . • NA ITRE , J . F . C . R. ACAO. S C I . f A R I S . SER. A . 2 7 4 . 6 4 4 - 7 ( 1 9 7 2 ) (FRENXMl

0 4 6 3 NORMS ANO ALGORITHMS ASSOCIATED WITH A CUT OF A MATRIX ( ITERATION OF THE PRINCIPLE OF GAUSS-SEIOELI ROBERT, F . • N A I T R E , J . F . NUMER. MATH. 1 9 , 3 0 3 - 2 9 ( 1 9 7 2 ) I Z 8 L . 2 2 7 , 6 9 ^ 3 ) IFREKCKI

0 * 6 4 A GENERALIZATION OF THE PROPERTY L OF NOTZKIN ANO .'AUSSKY r 0 R I N S O N . N . F . • S N I L E Y , H . F . L ! N F A « ALGEBRA ANO APFL . 4 , 3 2 3 - 8 ( 1 9 7 1 1 IRZ 1 9 7 2 . 4A414 I

0 4 6 5 CONVEX ANALYSIS ROCKAFELLAR, R . T . PRINCETON MATHEMATICAL S E R I E S , NO. 2 B , X V I I I • 4 S I F P . ( 1 9 7 0 ) (MR 4 3 . 4 4 9 1

0 . 6 6 DERIVATIVES GF EIGENVALUES ANO EIGENVECTORS ROGERS, L . C . t U l J . * , 9 4 3 - 4 l » 9 7 0 > (MR 4 3 , 1405

0 4 6 7 FRRORS IN MATRIX EIGENVALUF PROBLEMS ROKNE, J . CONFUTING (ARCH. ELEKTRON. R E C H N E N ) 7 , 1 4 9 - 9 2 I 1 9 T 1 I IRZ 1 9 7 2 , 2AR01 I ( Z f t l . 2 2 1 , 477> (GERMAN)

C'-68 COMPLEX INTERVAL ARITHMETIC ROKNE, J . • LANCASTER, F . COMMUN. ACM 1 4 , 1 1 1 - 2 1 1 9 7 1 ) ( Z B l . 2 1 3 . 1631

0 4 6 9 A NCTE ON CONSISTENT ORDERING ANO ZERO CIRCULATION . 'OSE, 0 . J . . . ASSOC. COFPUT. HACH. 1 8 , 5 7 3 - 5 ( 1 9 7 1 1 ICft 1 3 , 2 9 , 0 3 7 1

0 4 7 0 THE EQUATIONS AX - VB • C ANO AX - XB # C I N MATRICES ROTH, M . K. FRRC. AMER. MATH. SOC. 3 * 3 9 2 - 6 1 1 9 5 2 )

0 4 7 1 THE GENERALIZED RESULTANT MATMX RONE, A . J . I N S T . MATH. AFFL. 9 , 3 * 0 - f t 1 1 9 7 2 1

0 4 7 2 A FULLY STABLE RATIONAL VERSION OF THE ON ALGORITHM FOR T R I O V M A L MATRICES SACK, R , A . NUMER. MATH. I S , 4 3 2 - 4 1 119721

0 4 7 3 OH JACOBI AND J A C O B I - l I K E ALGORITHMS ON A PARALLEL COMPUTER SAMEH, A . A . MATH. COMF. 2 5 , 5 7 9 - 9 0 1 1 * 7 1 1 IRZ 1 * 7 1 , 2RB04) I Z B L . 2 2 2 , 6 5 Q 4 6 I

04>< MATRICES INVERSE TO VANOERNOKOE MATRICES. AFPLlCATION TO TMC STUBY OF THE fttLATIQNS OfTMrCN THE a O M T S OF A SYMMETRIC MATRIX ANO THE COMPONENTS OF ITS PROFER VECTORS SAMUEL, I . C . R. ACAO. S C I . P A R I S . SER. A 2 7 1 , 1 0 0 3 * 9 1 1 * 7 0 1 f f M . . 2 0 1 , 1 1 1 I IRZ 1 9 7 1 , 6 A 4 0 3 I (FRENCH)

0' .?« ERROR PROPAGATION ANO ROUNOING ERROR I N THE GfcNERALIZtO INVERSION OF W A T M C C S SAUTTER, W. TFCHNISCHE UNIVERSITAT NUNCHEN, OISSERTATION. BS P P . 1 1 * 7 1 ) (GERMAN)

0 4 7 6 ON THE CHARACTERISTIC ROOTS OF REAL MATRICES SCHAEFER, H . H . FROC. AMI R, MATH. SOC. 2 S , 9 1 - 2 1 1 9 7 1 ) INN 4 2 , 6 0 0 * 1 IRZ 1 * 7 2 * 6 A 3 7 2 I

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0 * 7 ? W0R»S AND DETERMINANTS CF LINEAR MAPPINGS SCHAFFE*. J . J . NATH. Z . 1 1 8 . 3 3 1 - 9 ( 1 4 7 0 1 (RZ 1 9 7 1 . 7 * 4 2 2 1 I MR 4 3 . 7*45»

0 * 7 * THE E X P L I C I T INVERSE OF A TRtOIAGONAL MATRIX SCHLEGEL. P . HATH. CORP. 2 4 , 6 6 5 1 1 9 7 0 1 JMR 4 2 . 8 * 7 4 1 I Z B L . 2 1 5 . 5 5 4 1

0 4 7 9 AN ITERATIVE PROCEDURE TO COMPUTE THF MODAL MATRIX OF EIGENVECTORS SCHMID. F . J . GEOPHVS. RESEARCH 7 6 . 1 9 1 6 - 2 0 ( 1 9 7 1 1 (RZ 1 9 7 1 , 1087351

0 4 8 0 CONSTRUCTION OF LONER 80UN0S FOR SIMPLE EIGENVALUES SCHMIDT, D . H I S S . SEITRAGE KARTIN-LUTHEft -UNIV. HALLE-HITTEN8ERG ( 1 9 7 0 1 8 3 - 9 1 ( 1 9 7 0 1 (RZ 1 9 7 2 , 2 8 8 0 0 1 (GERMAN!

4 4 8 1 INVESTIGATION O* CONVERGENCE AND ERROR RnUNfiS FOk A GENERAL IZFO ITERATIVE PROCESS SCHMIDT, J . to. W K . RATIONAL MECH. ANAL, i , ' t l - 7 * . 119601 (GERMAN)

0 4 « 8 CMOS FO^ 'HE SOLUTIONS OF " C M :NEAR EQUATIONS BY METHODS OF HIGHER RATES OF CONVERGENCE SCHMIDT. J . H . COMPUTING I 4 3 C H . f lEXTRON- 4 E O M E N . I 8 . 2 0 8 - 1 5 ( 1 9 7 1 1 (GERMAN)

0 4 8 3 8CUN0S FOR THt SOLUTION MITP THE t S F OF RESUVA FALSI SCHMIDT. J . to. • LEONtfAROT, K. COMPUTING (ARCH. ELEKTRON. RECHKENi 6 . 3 1 8 - 2 9 ( 1 9 7 0 1 (RZ 1 9 7 1 9 8 7 2 4 1 IMR 4 4 , 34881 (GERMAN)

0 4 8 4 FJNOAHENTALS OF METHODS FOR SOLVING EQUATIONS SCHMARZ. S . VYOAVATEl'STVO SLOVENSSEJ ARADEMIE V I E O . BRATISLAVA. 4 5 4 P P . 1 1 9 6 8 1 (CZECHOSLOVAKIA^

0 4 8 9 ON ThE P O S S I B I L I T Y OF ERROR E S T I K A r l O N FOR THE EIGENVALUE PROBLEM TOR REAL MATRICES I T MEANS OF INVARIANT CONES SCHMETLICK, H . Z . 4NGEH. HATH. MECH. 5 1 . 5 5 1 - 7 ( 1 9 7 1 1 (RZ 1 9 7 2 . 6 8 8 4 6 ) (GERMAN)

0 4 8 6 SOLUTION OF ALGEBRAIC EOUATtONS. APPLICATIONS TO THE S.'UOY CF ROOTS OF P ( X I 8 0 AND TO THE DETERMINATION OF THE PROPER VALUES OF A MATRIX (WITHOUT USE OF THE CHARACTERISTIC POLYNOMIAL) SCOUARNCC, C . REV. CETHEDEC 7 , NO. 2 1 , 1 - 4 9 ( 1 9 7 0 ) |RZ 1 9 7 1 , 5 8 9 7 5 ) (FRENCH)

0 4 8 7 THE RL ALGORITHM FOR F I N D I N G EIGENVALUES OF A MATRIX S E N , S . X . J . INDIAN I N S T . S C I . 5 2 , 1 0 5 - 1 1 ( 1 9 7 0 ) (RZ 1 9 7 1 , 5 8 9 8 7 1 (NX 4 3 , 4 2 3 4 )

0 4 8 8 COMPUTATION OF MATRIX INVERSE BY POWER SERIES METHOD SEN, S . X . J . INOIRN I N S T . S C I . 5 3 , 4 3 - 5 0 ( 1 9 7 1 1 (RZ 1 9 7 2 , Tf*85A»

0 4 8 9 A SECCNO-ORCfR PROCESS FOR SOLVING POLYNOMIAL EQUATIONS S E N , S . X . J . INOIAN HATH. SOC. 5 3 , 1 6 9 - 7 5 1 1 9 7 1 1 IRZ 1 9 7 2 * 7 8 8 7 4 1

0 4 9 0 CONDITIONING OF OUASI-NENTON METHODS FOR FUNCTION M I N I M I Z A T I O N SHAMNO. P . F . MATH. CORP. 2 4 . 6 4 7 - 5 6 ( 1 9 7 0 )

0 4 9 1 OPTIMAL CONDITIONING OF QUASI-NEUTON METHODS SHANNO, 0 . F . • KETTLER, P . C . MATH. CORP. 2 4 , 6 5 7 - 6 4 I I 9 7 C I

0 4 9 2 EQUIVALENCE OF EIGENVALUES SHERMAN. S . • THOMPSON. C . J . INDIANA U N I V . HATH. J . 2 1 , 9 0 7 - 1 4 1 1 9 7 2 ) I Z 0 L . 22Z, 1 5 0 0 9 )

0 4 9 3 SUBCLASSES OF CFNERALIZED INVERSES OF MATRICES S ISUVA. M. AM. I N S T . STAT IST . NATH. 2 2 , 5 4 3 - 5 6 1 1 9 7 0 ) IRZ 1 * 7 1 , 9A309 )

0 4 9 4 ON THF ZEROS OF POLYNOMIALS OF COMPOSITION SIMEUNOVIC. 0 . M. PUBL. I N S T . PATH. IBEOCRAO) I N . S . I 1 0 , 1 0 3 - 1 1 I 1 4 T o > 'RZ 1 9 7 1 , 6 M 8 5 8 I I N * 4 3 , 2 1 9 6 1 (FRENCH)

• 4 9 5 ANALYT'CAL INVERSION OP A QUASIORTHOGONAL MAfft lX ARIS ING I N LINEAR NODE CONTROL THEORY SIMPSON, A . J . FRANKLIN I N S T . 2 9 2 , 3 0 3 - 6 1 1 9 7 1 1 (RZ 1 9 7 2 , 5 8 1 0 0 6 )

• 6 9 6 ON THF CONVERGENCE OF ITERATIVE PROCESSES S ISLER. P . A P L . MAT. 1 6 c 1 0 - 2 3 1 1 9 7 1 ) IRZ 1 9 7 1 , 789v M I Z R L . 2 1 6 . 4 8 6 ) (MR 4 4 , 3 4 0 0 ) (GERMAN!

• 4 9 7 DIRECT TECHNIQUE FOR IMPROVING A P A T A U !S«S*SE S I T T O N , G. A . IBM J . RES, O F V f l O P . 1 5 , 42 3 - 7 ( 1 9 7 1 )

67

0 * 4 * ON THE EXISTENCE OF CERTAIN MATRICES SMITH . J . M . rORTUGAL. MATH. 3 0 , 5 3 - 5 1 1 9 7 1 ' (RZ 1 4 7 2 . 2 * 4 1 0 1 (Z f3 . 2 2 5 , 1 5 0 » 6 I

0 4 9 4 NUMERICAL SOLUTION OF THE MATA I * EQUATION AX * XA1TI * ft • 0 S M I T H , P . G . IEEE TRANS. AUTOMATIC ICMTPCl l b * 2 7 3 - 4 ( 1 4 7 1 1 I t 2 1 9 7 2 . 1R102TI

0 5 0 0 LEAST SQUARF< .U.G0A ITMHS F O M r 'NOIMG SOLUTIONS OF OVERnETFRNINEO LINEAR EQUATIONS MHICH M I N I M I Z E EURO* I N AN AS:TRACT NORM SPFEQH&RUI, V , P. N l H f l . HATH. | 7 . 3 8 7 - 4 0 1 1 1 9 7 1 1 ( 1 2 1 5 7 2 , 2R74S)

0 5 0 1 THE PSFUDOINVEaSE OF AN R-CIRCULAAT MATRIX S t A L L l N G S , W. T . * AOULLlON. T . L . PAOC. AMER. PATH. SOC. 3 4 , U J - I 114721

0 5 0 ? SONF F I N I T E INVERSION FORMULAE STANTON. R. -5. • $ ? « c m , 0 . A* MATH. GAZETTE 4 6 . 1 4 7 - 2 0 2 1 1 4 * 2 1

0 5 0 3 ON A COMPANION CPFRATUR FOR ANALYTIC FUNCTION* STEMART, G . « . NUNFR. HATH. | A , 2 6 - * 3 < 1 9 7 I | ( 2 8 L . 2 1 1 , 1 * 8 1 IR2 1 4 7 2 . 3 9 7 1 1 1

0S©4 A FORM OF NEUTOMS MET HOT WITH CU0IC CONVERGENCE STONE- M. H . OUART. APPL. * « T H . 1 1 , 1 1 8 - 5 1 1 4 5 3 1 I MR 1 4 . 6 0 0 1

0 5 0 5 ON A CERTAIN METHOD OF ITERATION SUGRIN. S . M . S I B I R S * . MAT. 2 . 1 2 , 6 R 4 - 4 114711 ( Z 6 L . 2 1 7 , 2 1 4 1 (MR 4 4 , 1 2 * > l I RUSSIAN)

0 5 0 6 THE INVERSE FOR THF REAL S IMILARITY TRANSFORM OF A COMPANION MATRIX SVSLO* N . M . IEEE TRANS. AUTOMATIC CONTROL 1 6 , 4 4 1 - 2 1 1 9 7 1 1 IRZ 1 4 7 2 , 5R1O08I

0 5 0 7 PAPERS ON MATRIX ANALYSIS SZIOAROVSKV, F . OCPT. MATH. KARL MARX U N I V . ECCW. BUDAPEST ( P U B I S ) MO. 1 0 . 37 P P . ( 1 4 7 0 1 (RZ 1 4 7 2 . I B ) 0 4 0 )

05C4 ON SPECTRAL PROPERTIES CF BLOCK N A T R I C f * fARACNIKOV, M. J . S I R I R S K . N A T . I . 1 2 . 1 4 1 1 - 5 1 1 4 7 1 1 IRZ 1 9 7 2 , j i ^ a ) (RUSSIAN)

0 5 0 4 A NOTE ON THE ROOTS OF THE PCLYNOPIAl EQUATION F I X I * A H .TH REFERENCE TO STABIL ITY T A L L I S , G . M . • GORDON, 6 . SIAM J . A » P L . MATH. 2 1 , 1 8 6 - 4 0 1 1 4 7 1 (

0 5 1 0 SOME RESULTS CONCERNING THE TRANSITION FROM THE L- TO THE » - PROPERTY FOR PAIRS OE F I N I T E MATRICES TAUSSKV, O . J . ALGEBRA 2 0 , 2 T 1 - R 3 ( 1 4 7 2 1 (R2 1 4 7 2 , 2 A 3 0 4 )

0 5 1 1 THE ROLE OF SYMMETRIC MATRICES I N THE STUOV OF GENERAL H A T M C l S TAUSSKV, O . LINEAR ALGF8RA «M0 A P P l . 5 , 1 4 7 - 5 4 1 1 4 7 2 )

0 5 1 2 Oft THE TRANSFORMATION Of SYMMETRIC SPARSE MATRICES TO THE TRIPLE DIAGONAL FORM TEMARSON, R. P . IM1ERMAT. J . COMPUT. MATH. 2 , 2 4 7 - 5 8 1 1 4 7 0 * IRZ 1 4 7 1 , 7 8 4 1 0 ) (MR 4 3 , 82311 ICR 1 2 , 1 2 , 4 0 8 1

0 5 1 3 ON THE REOUCTION OF A SPARSE MATRIX TO »£SSEN0£RC EORM TFMARSON, R. P . INTFRNAT. J . COMPUT. HATH. 2* 2 8 3 - 4 5 ( 1 4 7 0 ) IR2 1 4 7 1 , 4 8 7 2 1 )

0 5 1 4 OR) THE USE OF GENERALIZED INVERSES I N FUNCTION M I N I M I Z A T I O N TFMARSON. R. F . COMPUTING (ARCH. ELEKTRCN. RECMRfN. I 6 , 2 4 1 - 8 1 1 4 7 0 1 I R ! 1 9 7 1 , 1 0 0 7 9 2 ) l - B L . ? l " . 9551 CCR 1 9 , 2 3 , 0 3 8 1

0 5 i 5 ON TWO DIRECT METHODS FOR COMPUTING GENERALIZED INVERSES TEWARSON, R„ F . COMPUTING ( • S l l . ELEKTRON. RECHNEN) 7 , 2 3 6 - 4 ( ? 4 T | ) IRZ 1 4 7 2 -1 8 1 0 9 8 1 ( Z 0 L . 2 2 2 , 6 5 0 4 4 1

0 5 1 6 AN ITERATIVE NETHOO FOR COMPUTING GENERALIZED INVERSES TEMARSON, R. P . INTERNAT. J . COMPUT. MATH. 3 , 6 5 - 7 4 I 1 4 T 1 I I R Z 1 4 7 2 , 7 9 8 9 7 ) ( Z B L . 2 2 7 , 6 5 0 2 8 1

0 5 * V O N T H F G A U S S I A N E L I M I N A T I O N M E T H O C F O R I N V E R T I N G S P A R S E M A T R I C E S T E M A R S O N , R . P . C O M P U T I N G I A R C H . E L E C T R O N . R F C H N E M ) 4 , 4 - 7 1 1 4 7 2 1

0 5 1 8 I N E Q U A L I T I E S A N D P A R T I A L O R D E R S 0 * M A T R I X S P A C E S T H O M P S O N , C J . I N D I A N A U N / V . M A T * . * . 2 1 . 4 6 4 - 8 0 1 1 9 7 1 1 ' Z 8 L . 2 2 2 , 1 5 0 1 0 )

68

0514 THE AOOTJ Of THE MATRIX PENCILS IAV f IAM»«M S>>. EXISTENCE, CALCULATIONS. AW RELATIONS TO GAME THEOR THOMPSON, 6 . L . • WEIL. R. I . LINEAR ALGEBRA AND APPL. 5 , 2 0 7 - 2 * I1V72)

• 920 ON THE REAL ANO ABSOLUTE SINGULAR VALUES Of A MATRIX RROOUCT THOMPSON, A. C. LINEAR ALGEBRA ANO APPL. A, 2 4 3 - 5 4 119711 (RZ 1ST?, 1A61S) IZNL. 21R. UOt 'MR 4 3 . 7444)

0521 EIGENVALUES OF SUMS OF HERN IT IAN MTRICES. I I I . THOMPVM, * r C . 4 . RES. NAT. «UR. STANDARDS. B. MATH. S C I . TSB. 115-20 1147!)

0522 PRINCIPAL SUBMATRICES. X I I I . IRINCIPAl SECTIONS OF A FAIR OF FORMS THOMPSON, R. C. ROCKV HObNTAlK J . MATH. 2 . 47-110 (14721

0523 Oit EIGENVALUES OF SUMS CF HERM1T1AN MATRICES. I I . TKIMPSOK. R. C. • FREEOE. L . J . AEQUAT, M « m . 5 . 105- :5 11470) 1*1 K M . 4A31 M (2BL. 228 . 2*0061

0524 C* THE EIGENVALUES OF SUMS OF HfRPtTIAN MATRICES THOMPSON* R. C . • FREFOE. L. J . LINEAR A l i : r « A ANO APPL. 4. 364-76 (14711 (R. 1472. 6A3741 IZBL. 2 2 8 . 15005*

0525 INEQUALITIES CONNECTING THE EIGENVALUES OF A HERMIT IAN MATRIX HlTN THE EIGENVALUE* OF COMPLEMENTARY PRINCIPAL SWBMATfclCES THOMPSON. R. C. • THERIANOS. S. BULL. AUSTRAL. MATH. SOC. 6 , 1*7-32 (14721

0 5 2 * THE EIGENVALUES OF COMPLEMENTARY PRINCIPAL SUBMATR1CES OF A POSITIVE DEFINITE MATRIX THOMPSON. R. C . » THERIANOS. S. CANAO. J . MATH. 2 4 . 6 *4 -67 114721

0527 ON A METHOD FOR INVERTING 8L0CK-TRI01AGONAL MATRICES THUvWt M* 2 . WCISL. MAT. I MAT. F I Z . 1 1 . 1557-62 (14711 (RUSSIANI

0528 ON MAUER*S BOUNDS FOR THE CHARACTERISTIC FOOTS OF IRREDUCIBLE STOCHASTIC MATRICES T1NAN. 0 . A. 2 . WCISL. NAT. I NAT. F I Z . 1 2 . 142-B 114721 IRZ 1472. 5A353I (RUSSIANI

0524 ON MATRICES THAT CAN BE REDUCED TO CANONICAL FORM (OF J0R0AN1 BV THE SAME LINEAR SUBSTITUTION. I ANO I I TOGNETTI. N. ATT I ACCAO. S C I . TORINO CL. SCI. F I S . MAT. NATUR. 105 . 553 -60 , 593-44 11471) (ZBL. 2 2 3 . 15006. 150071

0530 ON THF CHARACTERISTICS OF A POLYNOMIAL IN A MATRIX TOGNETTI, M. BOLL. UN. HAT. I T A l . 1*75, 4B-5I (14721 ( ITALIANI

0531 ON THF DERIVATIVE Of THE INVERSE FUNCTION TRAUB, J . F . AMEt. HATH. MONTHLY 64 , 404-7 (1462)

0532 THF SUPER-VARIATIONAL TFCHNIQWE REVIItTEO TURINSKV, P. J . J . MATH. ANAL. APPL. 3 3 . 6 0 5 - 1 5 1 114711 (MR 4 3 . 1407) I2BL. 2 ) 4 , 4 3 i > (RZ 1 4 7 2 , 5*10101

0599 GENERALIZED RAVLEIGH METHODS WITH APPLICATIONS TO FINDING EIGENVALUES OF LARGE NATAICSS VANOERGRAfT. J . S. LINEAR ALGEBRA ANO APPL. 4 , 3 5 3 - 6 * (14*11 IZBL. 2 2 2 . 65047) IRZ 1472. 6S645)

0534 APPLICATIONS OF PARTIAL 0R0ERIN6S T3 THE STUOV OF POSITIVE DEFINITENESS, N0M9TQNICITY. ANO CONVERGENCE OF ITERATIVE METHODS FOR LINEAR SYSTEMS VANDERGRAFT, J . S. SIAM J . NUMER. ANAL. 4 , 47-104 11472)

0535 ON HIGHER ORDER STABLE IMPLICIT METHODS FOR SOLVING PARABOLIC PARTIAL DIFFERCNTiAL FOUATIONS VAPGA, R. S. J . RATH, ANO PHVS. 4 0 . 220-91 11461) (MR 25 . 96191 (ZBL. 106. 10B)

0536 SOLUTION OF POLYNOMIAL EQUATIONS EV METHOD OF STEEPEST DESCENT ViSMANATHAN, K. INTFANAT. J . COMPUT. MATH. 2 , 143-4 1)4701 (RZ 1 4 7 1 , 784161

9597 RATES OF CONVERGENCE FOR A aASS OF ITERATIVE PROCEDURES VOIST, R. G. SUM J . mi!".** ANAL. 8 , 127-34 11571) ICR 12, 22 ,144 ) (MR 4 4 , 23*71

059B ORDERS Of CONVERGENCE OF ITERATIVE PROCEDURES VOIGT, A. G. SIAM J . NUMER. ANAL. 8 , 222-43 11471) ICR 19, 23 ,218 ) (ZBL. Z2\, 449)

0«94 CANONICAL FORM FOR MATRICES UNOER UftlTARV COKGR'JENCr TRANSANIMATIONS I , CONJ-JOATE NORMAL MATRICES V IU IC IC , N. * HFRAUT. F . » VUJICtC/ G. SIAP J . APPL. HATH. 2 9 . 229-98 (1772)

69

0 * 4 0 ON A MFTHOO FOR 1NVFRTING MATRICES vix iCfvic. n. o. ZAP. *AUCN. S E " . LtNlMGRAO. OTCFI . NAT. I N S T . STEKLOV I L O M I 1 I S . 1 0 4 - 1 5 119701 102 1 4 7 1 , 6 S « 5 * | INR 4 3 , 8 2 * * 1 f R U S S I A N !

0 * * 1 ON THE SOLUTION OF THE PARTIAL PRCBLEH OF PROPER VALUES OF SOME MATRICES OF SPECIAL FORM V U I C f W I C . S . 0 . • KUBLANOVSKAJA, V . N . ZAP. NAUCM. SEN. LFNINGRAO. OTOEL. NAT. INST . STFKLOV I L O W I ) 1 8 , 1 0 * - 1 * ( 1 4 7 0 1 ( « / 1 4 7 1 , 6MS55) (NR 4 3 , 8? i ' )J CRUSSIANI

0 9 4 2 SPFCTRAL 1NVFRSFS OF STOCHASTIC NATAICFS WALL. J . R. • PLENHONS, « . J . S U M J . APPL. MATH. 2 2 . 2 2 - 6 1 1 9 7 2 1

0 4 4 3 ALGORITHM 1 9 . INVFRSION OF A BLOCKNlSE TRIMAGONAL MATRIX HALLACH. V . • BAT- . V I , A . COMPUTING (ARCH. ELERTRON. R E C H * C N . ) 7 , 9 5 7 - 6 3 11471) IRZ 1 * 7 2 . 3 8 * 9 3 1

5S44 D i S f C T AND INDIRECT MtTwOOS WALSH, J . LARGE SPARSE SETS OF LINEAR EQUATIONS. LONOON-NEM YORK. 4 1 - 5 * ( 1 9 7 1 1 (RZ 1 4 7 1 , 1 2 8 1 0 4 3 1

0 5 4 5 WEIGHTED PSEUOO'MVFRSES WITH SINGULAR HEIGHTS MARO. J . F . • SOULLION. T . L. • LEWIS. T . 0 . SIAM J . APPL. MATH. 2 1 . 4 R 0 - 2 ( 1 9 7 0 1 (RZ 1 9 7 2 . 6A3T1I

0 5 4 * wFAK SPECTRAL INVERSES MARO. J . F . * BOULLION. T . L. • L E K l S . T . 0 . SIAM J . APPL. NATH. 12, 5 1 4 - 8 ( 1 9 7 2 1

0 * * 7 THE SCMJR COMPLEMENT OF A GENERALIZED M~MTR|X WATFORO. L . J . . J R . LINEAR ALGEBRA AND APPL. 5 . 2 4 7 - 5 5 ( 1 9 7 2 1

0 4 4 8 A FACTORIZATION OF MATRICES ARISING I N RATIONAL INTERPOLATION WERNER. H . KJMFR. NATH. 1 8 . 4 * ' - 3 1 119721 (GERMAN!

0 4 4 9 INCLUSION OF EIGEN ELEMENTS VETTFRLING. M. ARCH. RATIONAL NECH. ANAL. 4 , , 7 6 - 8 2 ( 1 9 7 1 1 (GERMANI

0 5 4 0 ON THE EFFECTS OF SCALING OF THE PEACENAM-RACHFORO METHOD N IOLUM) . 0 . B. MATH. COMP. 2 5 , 3 3 - 4 1 1 1 9 7 1 1 I Z B L . 2 2 5 . 6 5 0 4 4 )

0 5 5 1 MODERN ERROR ANALYSIS WILKINSON. J . H . SIAM REV. 1 3 . 5 4 8 - 6 8 1 1 9 7 1 1 (RZ 1 9 7 2 , 6BB42I

0 5 5 2 SOME COMMENTS FROM A NUMERICAL ANALYST WILKINSON. J . H . J . ASSOC. COMPUT. MACH. 1 8 * 1 3 7 - 4 7 ( 1 9 7 1 1 (MR 4 3 , 0 2 0 5 )

0 5 5 3 NOTE ON MATRICES WITH A VERY I L L - C Q N O I T I 0 N E 0 EIGENPROBLEN WILKINSON. J . H . NUPER. HATH. 1 9 0 , 7 6 - 8 ( 1 9 7 2 1

0 5 5 ' / ON COMPRESSIONS OF NATR1CES WILLIAMS. J . P . J . LONDON HATH. SOC. I I . SER. 3 . 5 2 6 - 3 0 ( 1 9 7 1 ) ( Z B L . 2 1 9 . 9 7 6 1 (RZ 1 9 7 2 . 1 * 6 0 6 1

0 5 5 5 OH MATRICES WITH SENlOEFINtTE RFAL PARTS WINNER, H . K. NONATSH. NAT. 7 6 , 2 7 6 - 8 1 1 1 9 7 2 1 (GERMAN)

0 5 5 * SOLVING A MATRIX EOUATION W'MMER, H . • Z IEBUR, A . 0 . S U M REV. 1 4 , 3 1 8 - 2 3 1 1 9 7 2 )

0 5 5 7 CN THE ALGEBRAIC COMPLEXITY 0 * INNER PRODUCT WlNOGRAO, S . LINEAR ALGEBRA ANO APPL. 4 * 3 7 7 - 9 ( 1 4 7 1 1

0 5 5 8 OH MULTIPLICATION Of 2 X 2 MATRICES WIWOCRAO. S . LINEAR ALGEBRA AND APPL. 4 , 3 8 1 - 8 ( 1 4 7 1 1

0 5 5 9 ON THE EXP* i C I T REPRESENTATION OF CIRCULANTS BY POLYNOMIALS MOHLRA0E, K. HATH. NACHR. 5 0 , 8 7 - 9 8 119711 (RZ 1 9 7 2 , . A 3 7 0 ) (GERMAN)

0 5 * 0 ON AN ITERATIVE IROCFSS FOR SOLVING A GENERAL EOUATION WITH ONE UNKNOWN WOKNER, W. W l S S . Z . HOCfSCH. VERKEHRSW. ORESOEN 1 8 , 3 0 7 - 1 9 J1471J (RZ 1 9 7 2 , 5 8 1 0 1 6 ) (GERMAN)

0 5 * 1 ON A CUBICALLV CONVERGENT PROCESS FOR DETERMINING THE ZEROS OF,CERTAIN FUNCTIONS NVNN, P . NATH. TABLES AII /S COMPUT. kO» 4 7 - 1 0 0 1 1 9 5 * 1 (NR 1 8 , 4 1 8 1

70

0 9 6 2 THE NUMERICAL TRANSFORMATION OF SLOWLY CONVERGENT SERIES BY NETHOOS OF COMPARISON. I I WVNN. P. C H I F F k f S . RCV. ASSOC. FRANC. CALCUL TRAITENENT INFC1R*t. 5 . 6 5 - 8 8 1 1 4 6 2 ) U A L . 2 2 1 . 4 5 8 1

0 * * ? OIFFERENCE-OIFFERENTIAt RECURSIONS FOR RADE QUOTIENTS tfYNN, P . PROC. LONUCN MATH. SOC. 2 3 . 2 B 3 - 3 0 0 I 1 9 7 1 I

0 5 * 4 ITERATIVE SOtUTION OF LARGE L l N i A R SYSTEMS YOUNG. 0 . N . ACADEMIC M E S S , NEW YORK ANO LONDON. XXIV • 570 PP. 119711

0 5 * 5 ON THE CONSISTENCY OF LINEA** STATir.MARY ITERATIVE METHODS YOUNG, It, N . S U M J . NUMER. ANAL. 9 . 8 9 - 9 * I . 9 7 2 J

0 5 6 * SECONO-OEGREF ITERATIVE METMQOS FOR THE SOLUTION OF LARGE LINEAR SYSTEMS YOUNG. O . N . J, APPROXIMATION THEORY 5 , 1 3 7 - 4 8 119721 CRZ 1 9 7 2 , 7 8 8 5 4 1

0 5 * 7 GC.ERALlZATICNS OF PROPERTY A ANO CONSISTENT OROcRlNG YOUNG, 0 . M. S U M J . NUMER. ANAL. 9 . 4 5 * - 6 3 119721

0 5 * 8 SOME CONTRIBUTIONS AND CO WENTS CCNCERNING NEKTON'S ANO EULER'S METHODS FOK EVALUATING 2ER0S. TOGETHER WITH SOME MORE GENERAL « f S U I T S . I I . 2AUBEX, O . CSTERKEICN. AKAO. H I S S . NATH.-NATUR. X L . S . - 8 . I I . 1 7 7 , 3 4 3 - 9 4 1 1 9 6 9 } IMR - 3 , 1 4 1 * 1 (GERMAN)

0 5 * 9 ON THE CC*.T?OL OF THE SOLUTION OF A SYSTEM OF LINEAR EQUATIONS BY MEANS OF StCKHAftD SUSS" I T U T 1 0 * ZELINKA? F . A P L . MAT. 1 3 , 2 4 1 - 6 1 1 9 6 8 ) 12ft ' . . 2 0 7 , 1551 IC2ECK0SL0VAKIANI

0 5 7 0 A COMPARISON OF SOME ROUNDS FOR THE NONTRIVIAL FIGFNVALUES OF STOCHASTIC MATRICES 2 E MCE ft C NUMER. MATH. 2 0 9 - 1 1 119721

0 5 7 1 ON THF OPTIMUM RATIONAL FUNCTION CONNECTEO HITH THE AOI METHODS 2 IETAKE. K. 2AST0S. MAT. 1 1 . 3 3 7 - 5 2 ( 1 9 6 9 / 7 0 1 (MR 4 4 . 12061

0 5 7 2 OH THE CONVERGENCE OF A JACOB I PROCESS FOR ORDINARY AND GENERAL I 2 E D EIGENVALUE PROBLEMS » I HJA-C K M A W M K

EIDGENOSSISCHE TECHNISCKE HOCHSCHULE. OISSERTATION N O . 4 3 0 5 . JURIS DRUCXtvERLAG. ZURICH. I • 4 0 P P . 119691 (MR 4 3 . 7 0 5 4 ) IGERMANI

0 5 7 3 GENERALIZATION OF THE M I N I MAX METHDO FOR CALCULATION OF THE SPECTiUL RADIUS OF A MATRIX Z I T K O . J . A P I . NAT. 1 5 . 4 | - * 2 l l ° T O I

71

Author Index

• 6HIHASANKARAM, P. AASFN, J . 0 . ARATAL r r v . E . R. ABOELKALEK, N. N. A8ER1,: , O . ADAMENKO. G. M. AHMFTOVA* I . M. AIZENGENOLER, P . G. ALEFFLD, G. ALEFELO, G. ALEFfLO, G. ALEFELO, G. A L t F E I C , G. ALEFELO, G. A L I , M. S . AMBURGEY, J . K. AMIR-HOFZ, A. R. AMIR-MOFZ. A . R. AMIR-MOEZ, A. R. AMIR-MOEZ, A . R. ANDERSON* H. N. , JR, ARITHANOVA, M. A. ARSOL'O, V . I . ARTHUR* D* W. AU-YEUNG* Y. H. Ai>YEUNG, Y . H . AU-VEUNG* Y . H. AU-YEUNG* Y. H.

B

RABUSKA, I. BAHVALOV* N. S. BAlER* 0. BARANOV. A. V. BARKER* G. P. BARLEVl, A. RARNETT, S. HARNETT, S. BARNETT, S. BARNETT, S. BASAVAPPA, P. BASS* R. BATSCHFLET, E. BAUER* L. BELLEN* A. BELOSTOCKII* A* JA. BEN-ISRAEL, A. BENSCHOP* N. F. BENSON* A. BERG* L. BFRMAN, A. BERNSTEIN* A. R. BHIMASAUKARAM, P. BOHL* E. BOHL, E. BONNEMAY* A. BOULLION* T. L. BOULLION* T. L. BOULLION* T. L. BOULLION* T. L. BOULLION* T. L. BOULLION* T. L. BOWMAN* K. 0.

0450 000! 0020 000? 0003 0004 0005 0006 0007 0008 0009 0010 0011 0012 0013 0014 0015 0016 0017 0018 0019 0020 0021 0022 0024 0025 0026 0027

0028 0029 0030 0031 3032 054? 0033 0034 0035 0036 0037 0038 0039 0040 0041 0042 0168 0043 0044 0045 0046 0047 0048 0049 0050 0051 0014 0052 0439 0501 C545 0546 0053

BRANIN, F. H.* JR. BRAUER* A. RRAtfLEY* J., JR. BREHERMANN, K. BRENNER* J. L. BRENNER* J. L. BRENNER* J. L. BRENT, R. 0. BREZINSKI, C. BREZINSKI* C. BREZINSKI* C. BROWN, K« M, BROWN, W. S. BRGiM. W. S. BROYOEN* C. G. BROYOEN* C. G. BRGYOEN* C. 3. BUFFONI* G. BUNCH* J. R. BUNCH* J. R. BUNCH, J. R. BUSINGER* P. A.

CAJORI* F. CAPORANI* M. CAUCHY* A. CFCCHf, M. M. CEGELIK* G. G. CHAZAN* 0. CHEN* Y. T. CHERNOFF, H. CHERMOFF, H. CHERRAULT* Y. CHU* S. C. CLINE, R. E, CLINE, R. E. CLINT, M. COHEN, A. I. COLLATZ* L. COLLINS* G. E. COSSARINI* G. CRITANI* M. CRITANI* N. CROCKETT, J. B. CROUZFIX* J. P. CROMOER* H. P. CSIMA, J. CURTIS* A. R.

OAHLOUIST* G. » OASNIC, L . S. OATTA* B. N. DAVIES, 0 . DAVIS* T . E. OE MEERSMAN* R. f)E OLIVFIRA* G. N. OE OLIVE IRA* G. N . DF OLIVEIRA, G. N . OE OLIVFIRA, G. N . DE OLIVFIRA, G. N, OE OLIVEIRA, G . N. OE f lL IVEIRA, G. N .

0054 0055 0056 0057 0058 0059 0060 0061 0062 0063 0064 0065 C066 0067 0068 0069 0070 0071 0072 0073 0074 0075

0076 0077 1-78 0079 0080 0081 0082 0083 0093 CO 84 0085 0226 0437 0086 0087 0088 0089 0090 0091 0092 0093 0094 0095 0096 0097

0098 0099 0096 0377 0100 0101 0410 0411 0412 0413 0414 0415 0416

OF 3 U V F I K A , G. N. 0417 DE P I L L I S , J . 0060 DENNIS, J . F . , JP. 0065 DENNIS, J * E . t JR. 0102 OESCLOUXt J . 0 !03 OFUTSCH, E. 0 U % ntUTSCH, E. 0105 OEUTSCH, E. 0106 DEUTSCH, if. 0107 OEVRIES, H. t . 0302 OIJKHUIS, B. 0108 DIRSCHHID. H. J . 0109 OlRSCHMlOt H . J . 0110 OJOKO» ICt D. J . 0111 DONNELL, * . A. 0016 OORBAND, W. 0112 OUGUE, D. 0113 OUNKF, 0 . 0114 TUPORT, J . P. 0 ) 1 5 OUSSAUOt R. 0115 OUSSEL. R. 0116 DYSON, F . J . 0117 OZJADVK, V. F. 0118

E EBEPLEIN, P. J . O i l * * EDIKOVIC. A. U 3004 EHLERT, 0 . C I 20 EKRLTCHt L. W. 0121 EHRMANiU H. 012? E1SFNSTAT, S . C . 0098 ELLIOTT. J . E. M. 0123 ELSNFR, L . 0124 ELSNER, L . 0125 ELSNER, L . 0 i 2 6 ELSNFR, L . 0 * 2 7 EVANS* R. J . 0044 EVEfccTT, C . J . 0128 EVTUSENKO. JU . G. 0129

F FAODtEV, 0 . K. Ok 30 FADDEEV, 0 . K. 0131 r#!>DEEV, 0 . K. 0132 FAGE* N . K. 0133 FALKt M. K. 0134 FALK, S. 0135 FAN, K. 0136 FARAHAT, H. K, 0 3 1 * FEDOKENKO, R. P . 0137 FEK*ERT. T. I . 0138 FIEDLE/t, M. 0139 FIFOLER, M. 0140 FIEOLER* M, 0141 FIEDLER* M. 0142 FIEOLER* M. * 1 4 3 FIEDLER* M. 0144 FIEDLER* M. 0145 F IELD* D. A. 0146 F IL IPPOVIC* E. I . 0147 F I R T . V. 0146 F I R T , V . 0149 F I X - G. 0150 FONG* J . T . 0151 FOX, K. 0224 FRAME* J» S. 0152 f-RANZEN, R. 0153

FREEOE, L. J. 0523 FHEEOE, t. J. 0524 FRYER, W. 0. 0155 FURUTA, T. 0154

G GABASOV, R. 0004 GAIN, F . 0156 GALANT, 0 . 0157 G A L I * 8 E P T I , G. 0158 GAUETTO, 0 . 0159 GALLcTTO, 0 . 0160 GANSIN, G. S. 0161 GANSINi G. S. 016? GANTMAHER, F. R, 0163 GANTMAHER* F. R. 0164 GANTHAKER* F . R. 0165 GARGANTINI, I . 0166 GARGANTINI, I . 0167 GARNETT, J , M. 0168 GASMAN, JA. 0169 GA1T0, F . 0170 GAVRILGV, JU- N . 01^1 GAVURIN, K. K. 0172 GAVURIN- H . K. 0173 GEKELER, E . CI 74 GEKELEV, t . 0175 GELLER* A. 0176 GENTRY, I . C. 0055 GERFfcLD. K. 0402 GHPRl, G. 0 1 i 7 GIBSON, P. M. 0 U 8 G U I , F . E . 0179 GOLDBERG, E. M. 0181 GQLAB, S. 0130 GOLOVAr, G . P. 0182 G'JLUS, G. H. 0098 GOLUd, 3 . H. 0183 GOOD, 1 . J . 01 34 GOOD, I . J . 0185 GOROON, G. 0509 GORDON, W. R. 0188 GORDON, W. R. 0370 GOROON, W. R. 0371 GOROON, W. R. 037? GOROONOVA* V. I . 0136 GORJONOVA, V. 1 . 0 1 * 7 GOULD. H. M. 0189 GOURLAY, A. R. 0190 GRAD* J . 01 S I GKANT, J . A. 019? GREENSTADT, J . 0193 GROHNfc, 0 . 0194 GUPTA, N. N. 0195 GUTKNCCHT, M. 0196 GUTKNECHT, M. 0197

H H A B I L E 0 * G. J , 0 4 * 5 HADt'FR* K. P. 0198 HADEtER* K. P. 0199 H D E L E P , K. P. 0200 HAOJIDIMOS* A. 0201 hAGANOER, P. 0202 HALLEV, F. 0203 HAMMFRLING* S. J . 0204 HARIN, V. T . 0205 MARfFI El ; D. J . 0206

73

HARTFIEL. R. J. 0?07 HA-<TWIG, R. F. 0208 HARTWlG, R. E. 0209 HAVEL. V. 0?10 HECHT, J. 0211 HEIBFRGER, R. 0150 HE I NOEL, L. J. 0212 HENRICI, P. 0167 HEN* Id, «*. 0213 HER8UT, F. 0539 HERZ3ERGFM, J. 0009 HFRZRFRGER, J. 0010 HERZrtERGFR, J. 0011 HERZ86RGER, J. 021* HINDMARSM, A, C. 0215 HITCHINS, G. 0. 0192 HITOTOMATU. S. 0216 HLHOOVSKII, I. N. 0217 HMURNAN, V. 0218 HOFFMAN, A. J. 0219 HOFFMAN, F. 0220 HOFMANN, A. 0221 HOSKtNS, M. 0. 0222 HOUSEHOLUFR, A. S. 0223 HOUSEHOLDER, A. S. 0224 HSU, L. C 0225 HUANG, H. V. 0226 HUANG, H. Y. 0227 HUANG, N. M. 0228 HUBNER, 0. 0229 HUD!I, H. I. 02 30

I

iKRAMOV, H. 0. 0231 iKrfAMOV, H. D. 02 32 IKRAMOV, V. 0233 ILMN, V. P. 0235 1 LAMED, Y. 0234 IMOMNAZ/WOR, B. 0236 IONESCU, 0. C237 IONESCU, 0. V. 0238 iONESCU, D. V, 0239 IVANOV* A. V. 0240 7VAN0V, V. K. 0241 IVANOV, V. V. 0242 I\AN0Vt 7, V. 0243 IVANOV, Vc V. 0244

J

JANKU, Rr 0245 JENNINGS, A. 0086 JtNNINGS, A. 0246 JOHKScNf E. C. 0247 JOHNSTON, R. L. 0248 JOUNSTON, R. L. 0249 JONESt J., JR. 0250 JONES* W. 8. 0146 JOSSA, F. 0253 JOYCE, D. C. 0252 JUABOV, M. R. C251 JUKV, E. I. 0254

K KACZOREK, T, 0255 KAI AIDA, 0. 0256 KALAIDA, 0. F. 0182 KAHBER, F. 0257

HAMMERER* W J. 0258 KANAREV, L. t. 0259 KANTQR, I. L. 0260 KANTOROVIC, L. V. 0261 KANTOROVIC, L. V. 0262 KANTOROVlCt L. V. 0263 KANT2, G. 0264 KAPOOR, J. 0265 KARMISIN* A. V. 0266 KJRPELEVIC. F. I. 0267 KASANIN* R. 0268 KATZ* M. 0269 KAZIMIRSKII* P. S. 0270 KAZIMIRSKII, P. S. 0271 KAZINIRSKUt P. S. 02T2 KAZIMIRSKII* P. S. 0273 KEL~*SINSKII, A, S. 0274 KELLOGG, R. B. 0275 KELLOGG* R. ft. 0276 KETTLER. P. C. 0491 KEYTON, N. E. 0017 KHATRI* C. G. 0277 KIM* G. 0279 KIM, G. 0. 027* KINCAID* 0. R. 0280 KING* R. F. 0281 KING* R. F. 0282 KIKZNER* V. M. 0283 KONERU* R. S. 0284 KONIGSHOFER* F. 0285 KOREPOV* V. G. 028* KOSTARCUK, V. N. 0287 KOURIGENIS* C. N. 0288 KOUROGEMS* C. N. 0289 KOVALEV* V. A. 0290 KRASIKOVA, M. V. 0291 KRASNOSEL*SKI!, M. A. 0292 KRASN0SEL*SKII* M. A. 0293 KRASTIN* A. F. 0294 KRAUTSTENGL. R. 0295 KRAVCUK* L. V. 0296 KRAVCUK* T. S. 0297 KRAWCZYK* S. 0298 KRAWCZYK, R. 0299 KREIN, M, G. 0165 KREIN, t*. G. 0300 KRFIN, S. G. 0293 KREMNcVA* JU. P. 0301 KRESS, «. 0302 KRISiOF* -. 0303 KUBLANoVSKAJA, V. M. C307 KUBLANflVSKAJA, V. N- 0304 KUBIANOVSKAJA, V. N. 0305 KUBLANJVSKAJA, V. N. 0306 KUBLAN0VSKAJ4, V. N. 0308 KURLANOVSKAJA, V. N. 0541 KuLlSCH, U. 0309 KUNERT, F. 0310 KUZNECOV, V. G. 0311

L

LAIDACKER* M. A . 0313 L A L L I , R. S . 0284 LANCASTER* P. 0314 LANCASTER, P . 0317 LANCASTER, P. 0468 LANGENHOP, C . E . 0315 LANGfNHOP, C . E . 0516 LAPPO-OANILEVSKII , I . A . 0318

74

LAPPO-DANILEVSKII , I . A, LARCENKO, N . E . LARIONOV, B. A . LAVRENT'EV, N. * . LAVRENT»EV* M. M. LAVRENT'FV* * . M. LAVUT. A . P . LcSAUD, C. i-c-'t A. LEHNIGK, S. H. LFIGHTCN. W. LEMARECHAL, C. LEMIN. M. LENARD, A. IEONHARDT, H. L E V I N . A . J . LEVINGER, B. W. LEVOW* R. C LFVY, A. V . LEWIN* M. LEWIS* T . 0 . LEWIS* T» O . LEWIS- T . 0 . L I D S K I 1 , V . R. L I E B L , P . L I * . M. J . S . L IMA, E. L. L I M A N S K I I , V. G. LINGOES, J . C. L J O P . I C , JU . I . LJUBIC, J U . I . L J J S t C , JU. I . LJUSTERNIK, L. A. LJUSTERNIK, I . A. LO-GEN, K. LOFWY* R. LOIZOU, G. LONDON, D. LOPSIC, A. M. LOPSIC, *.. M. LOR 10AN, P . LOWOIN, P. LOZINSKII, S . H. LOZGVSKU, V. S . LUZIN* N . N . L U Z I N , M. N .

M

MADORSKII, V . M. MAERGOlZ, H . 0 . MAGARIK, V. A. MAIS IROVSKl I , G . 0 . MAITRF, J . F . »M**€f J . F. *A IT t fE , J . F . MAKfrlAlNEN, T . HAN, F . T . MANCINO, 0 . G. MANCIMO, 0 . G. MANGASAR2AH* 0 . L . MANGASARIAN* 0 . L• MARCUS, « . MARCUS, M. MARCUS* M. MARCUS* W. MARCUS* M. MARCUS* r. MARCUS* M. A . MARKHAM, T. L.

0319 1 MARKU2E, JU. I. 0320 MARUSClAC* I. 03?l MARZULL1, P. 0322 MATTHEWS. 5. 03?" MAVLJANOVA, •'. I. 0324 MAVLJANOVA, M. I. 0325 MAtfLJANOVA, H. I. 0326 MAVLJAKCVA, M. I. 0327 MAXFIELD, J. F. 0328 MAYER, 0. 0329 MAYER, 0. 0330 MAYER, 0. 0331 MCAULEY, V. A. 0332 MCMATH, J. S. 0483 MFRRIS, R. 0333 MERRIS, **-, 0334 MERRIS, R. 0336 MERRIS, R. 0227 MERRIS* R. 0335 METROPOLIS, N. 0014 MFYEP-SPASCHE, R. 0545 MEYER, C. 0., JR. 0546 MiCHELINI, C. 0337 MIFLLOU, J. C. 0338 MILLFR, W. 0339 MILLER, H . 0312 MINC, H. 0340 NiNC, H. 0341 MIRANKER, V. L. 0342 MITRA, SUJIT KUMAR 0343 MITRA, SUJIT KUMAR 0344 MITRA, SUJIT KUMAR 0345 MITRINOVIC, 0. S. 0346 MORE, J. J. 0348 MORRIS* J. L., EO. 0347 MORRIS* M. L. 0138 MOURANT, W. J, 0349 MOYER, R. D. 0350 MULLER, K. H. 0351 MUNRO, N. 00 84 MURRAY, W. 0352 0353 0354 0355 NASITTA, KH. 0356 NAZANOV, V. B.

N

NESBET, R. K. NEWMAN, M. NFWTON, R. F.

0358 NICKEL, K. 0359 NICKEL, K. 0360 NODA, T. 03ol NOVAKOVA, M. 036? 046? 0463 0363 OOELL, P. L. 0364 OOIARO, C. 0177 OLESKY, 0. 0. 0365 OPTEGA, J. M. C366 ORTEGA, J. W. 0367 OSTAPCUK, V. S. 0013 OSTROWSKI, A. 0188 OSTROWSM, A. M. 0366 0369 0371 0372 PAIGE, E. C. 0370 PANKIEWIC7, W. 0373 PARIETT, B. N.

0374 0375 0376 0377 0378 0379 0380 0381 0382 0012 0383 0384 0357 0017 0385 0386 0387 038S 0389 0128 0391 0390 0090 0392 0393 0394 0349 0395 0081 0448 0449 0450 0396 0397 0398 0399 0382 0085 04i)0 0401 0179

0402 0308 3403 3404 0405 0406 0407 0408 033 8

0052 0409 02*9 0418 0419 04?C 0*21 0*??

i 220 0423 0074

75

PASZKOWSKI. S. 0*2* PFARY, C. R. 0016 PERAOZE, 0. G. 0425 PERADZE, 0. G. 0*26 PEREYRA, V. 0158 PERRY, C. R. 001 8 PETERSt G. 0*27 PET6RSS0N. H. 0*28 PETKOV. M. 0*29 PFLANZ, E. 0*30 PFLANZ, F. 0*31 PHILLIPS, J. L. 0*32 PICrlAT, M. 0*33 PIERCE, S» 0389 PILLIS, J. 0*35 PILLIS, J. D. 0*3* PLANCHARO, J. 0*36 PLFMMONS, R. J. 00*6 PLENNONS, R. J. 0*37 PLFMMONS. R. J. 05*2 POHENTALE, T. 0*38 Por-tCN ?• J. 0222 POOLE, 0. 0. 0*19 PORSCHlNG, T. A. 0**»0 POTOPOVA, A. F. 0*< 1 POWELL, M. J. 0. 0**2 PRICE, H. S. 0**3 PTAK, V. 01** PTAK, V. 01*5 PULLMAN, N. J. 0***

SACK, R. A. 0*72 SAIFULIU, V. G. 0020 SAMFH, A, A. 0*71 SAMUEL, I. 0*74 SAUTTER • M. 0*75 SCMAEFFRt H. M. 0*76 SCHAFFERt J. J. 0*77 SCHLEGEL, P. 0*78 SCHMIO, E. 0*79 SCHMIDT* J. 0*80 SCHMIOT, J. W. 0*81 SCHMIDT, J. U. 0482 SCHMIOT. J. W. 0481 SCHMITT. 6. Cil6 SCHHARZ* S. 0*84 SCHMETLICK* H. 0485 SCOUARr^C, C. 0*86 SEN. S. K. 0487 SEN, S. K. 0490 SEN, S. K. 0489 SHANNO, 0. F. 0491 iHANNO, P. F. 0490 SHENTON. L. R. 0053 SHEPHERD, R. A. 0455 SHERMAN* S. 9*92 SIBUYA, M. 0*93 SIMcUNOVIC* 0. M. 0494 SIMPSON* A. 0495 SISLER, M. 0496 SITTON, G. A. 0497 SMILEY, M. F. 0464 SMITH, J. M. 0*98 SMITH, P. G. 0499 SOMINSKII, I. S. 0132 SPROTT, 0. A. 0502 SREEDHARAN* V. P. 0500 STALLINGS, *. T. 0501 STANTON* R. G. 0502 STEfcART* G. M. 0503 STONE, M. M. 0504 SUGRIN, S. M. 0505 SYSLO, M. H. 0506 SZIOAROVSKV* F. 0507

RADAKRISHNA RAO, C. 0**8 RADAKRISHNA RAO, C. 0**9 RADHAKRISHNA RAO, C. 0*50 RAINEY, J. W. 0**5 RALSTON, A. 0**6 rtAMAKRlSHNAN, A. 0**7 RATZ, H. C. 00*3 RFIO, J. K. 0097 REIO, J. K. 0*51 REIOt J. K. 0*52 REIMFR, M, 0*53 REINSCH, C. H. 0*5* REISS, E. L. 00*0 RHEIN80L0T, U. C. 0*18 RHEINBOLOT, W. C. 0*19 RHElNBOLDT, M. C. 0*55 RIBIERE. G. 0*56 RICE, J. R. 0*57 RICHTER, G. 0*58 RIESS, R. 0. 0*59 RIGLER, A. K. 0*60 RISSANEN, J. 0*61 RITTER, K. 0*07 ROBERT, F. 0*62 ROBERT, F. 0*63 ROBINSON, N. F. 0*6* ROCKAFELI.AR, R. T. 0*65 ROGERS* L. C. 0*66 ROKNE, J. 0*67 ROKNF, J. 0*68 ROSEt 0. J. 0*69 ROTH, •<• K. 0*70 ROME, A. 0*71 ROZENFEl'0, B. A. U3*8

TA8ACNIK0V* M. I. 0283 T4BACNIK0V* M. J. 0508 TALL IS, G. N. 0509 TAUSSKY, 0. 0510 TAUSSKY, 0* 0511 TEMARSON, R. F. 0515 TFWARSON, R. F. 0517 TEWARSON, R. P. 0082 TEMARSON* R. P. 0512 TEMARSON* R. P. 0513 TEMARSON* R. P 0514 TEWARSON, R. P. 0516 THERIANOS* S. 0525 THERIANOS* S. 0526 THOMPSON* C . J . 0492 THOMPSON* C. J. 0518 THOMPSON* G. L* 0519 THOMPSON* R. C 0520 THOMPSON* R. C, 0521 1H0MPS0N* R. C 0522 THOMPSON* R. C. J523

76

THOMPSON, R. C . 0524 THOMPSON, R. C . 0525 THOMPSON* R, C. 0526 THUAN, H . 0527 TI l tAN, 0 . A . 0528 TOGMETTI* H . 0529 TflGNETTI, M. 0530 TRAUB, J . F . 0067 TRAUB, J . F . 0531 TURINSKY, P. J . 0532

u UHANSKA, 0 . V . 0273

VAN AT, f . 0023 VANOERGRAFT, J . S . 0533 VANOERGRAFT, J . S . 0534 VA*GA, R. S . 0258 VARGA, R. S . 0443 VARGA, R. S . 0535 VISMANATHAN, K. 0536 VOIGT, R. G . 0537 vniGT, « . G . 0538 V U J l C I C , G. 0539 VUJ IC IC* M. 0539 VULICEVIC, R. D . 0 5 4 0 VULICEVIC, B . 0 . 0541

w WALL, J . R. 0S42 WALLACH, V . 0543 WALSH, J . 0544 WARD, J . f . 0545 MARO, J . F . 0546 WARREN, J . E . 0443 WATFORO, L . J . , J R . 0547 WEGNANN, R. 0'J02 WEIL, R. L . 0519

WERNER, H . 0 5 4 8 WETTERLING, W. ft 0 5 4 9 WIDLUNO, 0 . B. ft 0550 WlLKl*SUN, J . H . 0427 WILKINSON, J . H . 0 5 5 1 WILKINSON, J . H . 0 5 5 2 WILKINSON, J . H . 0553 WlvLlAMS, J . P. 0554 WINNER, H. 055€ WINNER, H. K. 0555 WlNGGfcAD, 5 . 0 5 5 7 WINOGRAO, S . 0 5 5 8 WOHLRABE* K. 0 5 5 9 WOHNFR, H. 0 5 6 0 WOLFE, P. 0095 WYNN, P . 0 5 6 1 WYNN, P . 0 5 6 2 WYNN, P . 0563

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77

Key Word **dcx

TO GAMF THEORY/ THE ROOTS OF THE MATRIX PENCILS IAT • LAHBOA BY) , EXISTENCE. CALCULATIONS. AM* RCLAMORS 0 9 l « XFSI / OETFRPINANTAl tKOIFCS AM) PROPERTIES OF SlMPLEXES (SEMINAL I I AT IONS OF TRIGONOMETRIC BOLES TO N^lNCMSIRRIBL M l }

NORMS AM) ALGORITHMS ASSOCIATED Ml TM A CUT OF A MATRIX {ITERATION OF THE PR INC IP* C OF CAOSS-SfIOCLI/ OBB9 SQUARE MATRICFS hHICH, uwncft ROM PERMUTATIONS. LEAVE THE IN-UTW ELEMENTARY SVMHfT IC FUNCTION INVARIANT/ N- 0 2 * 9

OM MATRICES THAT CAN BE RrOUCED TO CANONICAL r"ORN IOF jOROAMt BY TNI SAME I t CAB SUBSTITUTION. I ABB 1 1 / 092B INEAR PAONLFttS/ METHODS OF JACOR1. GAUSS-SEIBEL, OVE* I UNDER I RELAXATION ST BLOCK). APPLIED TO A CLASS OF NOBL OS*? ERICAL METHODS OF SEARCH FOR GLORAL FXTRENA OF FUNCTIONS (MlTM NONUNIFORM NETS)/ RAM N » NO TO THE DETERMINATION OF THE PÔPE* VALUES OF A NATMX (RITMTMT USF 0? THE CHAR AC TEA I STIC POLYNOMIAL!/ SOLUTION

AEF££SE*TA1IONS FOR l l » - AND 11 .21 - INVf RSE3 *OR PARTITIONED NATBICCW REPRESENTATIONS FOR 111 - AND ( ,21-INTENSES FOR PNBTITI9MCB MATRICES/

INMCRS APPROACH TO SCME PROBLEMS OF SYSTEM t i W T / SOME FL'MEN* ART FORMULAS IN MATRIX CALCULUS AM) THEIR APPLICATIONS/ OI91

ATE GRAOIENIS FCR STSTENS CF LINEAR EQUATIONS POSSESSING PROPERTY A / THE USE OF M R M • * * * NUMERICAL SOLUTION OF AIT IS • SA • 6 • • / OOOt

NTS FOR SYSTEMS OF LINEAR EQUATIONS PGSSFSSING PBORFRTV A / THE 4SE OF CONJUGATE CBAOIC 0 * 9 * ON THE REAL AMD ABSOLUTE SIKJLAR VALUES OF A MATRIX PPQBUCT/ OStO

Ok STOCHASTIC MATRICES MNOSE ABSOLUTE SMALLEST CNBBBtrCBISTIC ROOT IS HEAL/ EROETERRlNFD LINEAR EQUATIONS WHICH »IN1«IZF ERROR I * AN ABSTRACT NORM/ LEAST StUBBCS ALGORITHMS FOR F H

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A GENERALIZED REFLECTION MATRIX/ 0*24 THE GENERALIZED RESULTANT MATRIX/ 0 *T I

ROCESSES/ A MEAN SQUARE ESTIMATE OF THE GENERATED ROUND-OFF ERROR IN CONSTANT MATRIX ITERATIVE P 08*3 / A GEOMETRIC APPROACH TO TM5 THEORY OF NONNEGATIVE MATRICES 0 * 4 *

GEOMETRIC INTERfRETATION OF THE MNACHIENICZ SCHEME/ 0240 HE CALCULATION OF THf SINGULAR VALUES OF A MATRIX/ GEOMETRIC MEANING OF THE NETHOO OF GOLUB AND KAHAN FOR T 0101 ER VALUES OF LINEAR OPERATORS/ GEOMETRIC SCHEME FOR CONSTRUCTING PROPER PLANES ANO MOP 02*0 AND ITS APPLICATION TO REAL PROJECTIVE ANO NflN-EUCLIOEAN GEOMETRY/ THE GEOMETRY OF RECTANGULAR MATRICES 09*8

EXTREME PROPERTIES OF LI*FA'< TRANSFORMATIONS ANO GEOMETRY I N UNITARY SPACES/ 0819 REAL PROJECTIVE ANO NON-EUCLIDEAN 6EUHETRV/ THE GEOMETRY OF RECTANGULAR MATRICcS ANO ITS APPLICATION TO 09*0

GERSCHGORIN THEOREMS FOR PARTITIONED MATRICES/ 02*8 OR MINIMAL <ERSGO*IN REGIONV OR**

PARTIMONFO HATRICES. I I . SOME OETERNINANTAL IDENTITIES/ GERSfiOXIN THEORcMS. REGULARITY THEOREMS AND BOUNOS FOR 0 0099 LOCAL ANO GLOBAL CONVERGENCE OF GENERALIZED LINEAR ITERATIONS/ 0*1B

NUMERICAL NETHOOS OF SEARCH /OR GLOBAL EXTREHA OF FUNCTIONS I WITH NONUNIFORM NETSI/ 0 1 2 * A NETHOO OF UMCCMSTRAINFO GLOBAL OPTIMIZATION/ 009T

GENERAL12AT ION OF THE GOLOEN-THOMPSOM iNEOt* LITV TRIE IA IE IBt l • T R I E I A * * ! ; / 0992 ES OF A MATRIX/ CEOHFTitIC MEANING OF THE METHOD OF GOLUB AND RAMAN FOR THE CALCULATION OF THE SINGULAR VALU O l t t

RATE OF CONVERGENCE OF SEVERAL CONJUGATE GRADIENT ALGORITHMS/ OMT LINEAR CONVERGENCE Of THE CONJUGATE GRAOIENT METHOD/ 00*9

GRADIENT METHODS OF MAXIMIZATION/ 0093 REMARKS ON GRAOIENT PROCESSES/ 0199

ON THE RATE OF CONVERGENCE OF STATIONARY GRAOIENT RELAXATION/ 034* ONS/ ON A GRADIENT-PROJECTION METHOD FOR SOLVING NON-LINEAR E9UATI 8958

ON THE CCNVERGEA.E OF THE METHOD OF CONJUGATE GRADIENTS/ 0 9 * 1 OPERTV A / THE USE OF CONJUGATE GRADIENTS FOR SYSTEMS OF LINEAR ECJAT10NS POSSESSING PR 0*92

PROBLEMS/ ROUND OFF ERROR ANALYSIS FOR 6RAN-SCHMI0T METHOD ANO SOLUTION Of LINEAR LEAST SQUARES 0002 ANOTHER THEOREM RELATING SYLVESTER'S MATRIX ANO THE GREATEST COMMON OIVISOR/ 0913

ON EUCLID'S ALGORITHM AND THE COMPUTATION OF POLYNOMIAL GREATEST COMMON DIVISORS/ 006* GREATEST COMMON 01VISORS OF JEVERAL POLYNOMIALS/ W

A NOTE OH HAOAMARO PRODUCTS/ OlBv GENERALIZATION OF HAOAMARO*S INEQUALITY FOR DETERMINANTS/ 0199

AN ELEMENTARY PROOF OF HAOAMARO*S THEOREM/ 019* THE TRIANGULAR DECOMPOSITION OF HANKEL MATRICES/ 0*32

COUPLEO HARMONIC EQUATIONS* SOR, ANO CHEBYSHEV ACCELERATION/ 0121 A NEW PROOF OF HAVNS*OATH*S QUOTIENT FOKMULA FOR SCHUR COMPLEMENTS/ 9*21

ON THE HERMITE MATRIX OF A POLYNOMIAL/ 032B SOLVING CONFLUENT VANOERMONOE SVSTENS OF HERMITE TYPE/ 019B

ON CONDITIONS ON X SUCH THAT XAX IS HERMITIAN/ 0 0 1 * SONC THEOREMS ON SIMULTANEOUS 01 AGONALIZATICN OF THO HERMITIAN BILINEAR FUNCTIONS/ 0 0 2 *

ON SOME PROPERTIES OF HERMITIAN MATRICES/ 0199 BOUNDS FOR THE DETERMINANT OF THE SUM OF HERMITIAN RATA ICES/ 01*2

A DOMINANCE THEOREM FOR PARTITIONED HFAHITIAM MATRICES/ 03BB MOMOTONICITV OF POSITIVE SERIOEFINITE HERMITIAN MATRICES/ 09B9

ON THE EIGENVALUES OF SUMS OF HERMITIAN MATRICES/ 092* OH SOME THEOREMS ON SIMULTANEOUS 01AGONALIZATION OF TNO HERMITIAN MATRICES/ A NOTE 0027

ON EIGENVALUES OF SUMS OF HERMITIAN MATRICES. 1 1 . / 0929 EIGENVALUES OF SUMS OF HERMITIAN MATRICES. I I I . / 0921

UBMATRICES/ INEQUALITIES CONNECTING THE EIGENVALUES OF A HERN IT IAN MATRIX WITH THE EIC-EN VALUES OF COMPLEMENTARY f 0929 R ALGORITHM FOR THE COMPUTATION OF THE ElGENVALUES Of AN HERMITIAN, TR101 AGONAL MATRIX/ A STABLE* RATIONAL Q 0 * 9 *

NUMERICALLY STABLE DEFLATION OF HESSENBERG ANO SYMMETRIC TRI01AGONAL MATRICES/ 0079

86

Oh TH- REDUCTION OF A SPARSE M T R K TO HFSSFNBERG FORM/ OM 1 TION OF CERTAIN SYSTEMS (if LIKE A* ALGEBRAIC EQUATIONS OF HIGH OROER/ 0 * THE SOlU 32TB UATiON/ A MIOM-OAOC* METHOD OF SOLUTION FOR T * LYAPUNOV 1ATRIX EO 336* S INVOLVING THF CEMERALI2FD INVERSE/ A HlG«-PO*EA ITERATIVE HETHCn FQR CJoiPUTHHu MATRIX PRODUCT 3 l i »

COLLECTION OF 9ACSLEMS IN HIGHER ALGEBRA/ 01)2 MATRIX/ PROCESSES OF HIGHER 0RO*R FOR THE ITERATIVE ItCL'JSIOft OF THE I*V?ftSE 0010 ic PARTIAL DIFFERENTIAL EOLATIONS/ ON HIGHER O*OEJ STABLE I M P L I C I T METHODS FOR SOLVING PARAAOI OSJ* 5 FOR THE SOLUTIONS OF NONLINEAR EOUAT IONS BY METHOOS OF HIGHER RATES OF CONVERGENCE/ NOUN- d«S? AT ION/ HISTORICAL NOTE ON THE NEWT0M-RAPHS3N HE • KK> OF APPMOXIM 007b

ON COMMUTING THE ZEROS OF A NOLO*-4PHIC FUNCTION/ 03*0 A CLASS OF ITERATIVE METHODS FOR HOXONJRPHIC FUNCTIONS/ 041S

ON THE SOLUTION CF SYSTEMS CF Lt'EAR HOMOGENEOUS EQUATIONS/ 0311 jTION OF PKOPER VALUES BY MEANS OF A TRANS* ORMATtON CF A HOMOGENEOUS SYSTEM OF ALGEBRAIC E3'JATI0NS/ CORPUT OMS

NUMERICAL STABILITY Of THE HORNER ALGORITHM/ 0*5J THE HUR4IT2 CONDITIONS/ 0030

A MEN FORMULATION OF THE THEOREMS OF HURtflTZ, RCUTH. ArtO STURM/ 0035 A SIMPLE DERIVATION OF HUTTON'S FCRMULA FOR THE COMPUTATION Of ROOTS/ 0405

ENS OF LINEAR ALGEBRAIC EOUATIONS/ EXTREMAL THEOREMS FOR HVPERELLIPSOIOS ANO THEIR APPLICATION TO THE SOLUTION OF 0351 DETERMINATION OF EIGENVECTORS OF SYMMETRIC IOENPOTFNT MATRICES/ 0224

RN1NANTS OF PARTITIONED MATRICES. I I . SOME OETERMINANTAL IDENTITIES/ GERSGORIN THEOREMS, REGULARITY THEOREMS ANO 0059 A OETERMINANTAL IOCNTITY fCR PROJECTORS IN A UNITARY SPACE/ 0111

SUN OF PRODUCTS/ ON AN IMPORTANT IDENTITY I N THE DECOMPOSITION OF A BILINEAR FORM INTO A 0237 NCTE ON MATRICES WITH A VERY ILL-CONOIT I0NE0 EIGENPROBLEM/ 0SS3

AN ALGORITHM FOR THE ILL-CONOIT IONEO GENERALIZED EIGENVALUE PROBLEM/ OlSO A METHOD FOR DEALING WITH ILL-CONDITIONED SYMMETRIC LINEAR SYSTENS/ 0338

ON THE SOLUTION OF ILL-CONDITIONED SYSTEMS OF LINEAR ALGEBRAIC EOUATIONS/ 01*7 MEANS OF THE NETWO OF JACOB1/ STABILIZATION OF ILL-CONDITIONED SYSTEMS CF LINEAR ALGEBRAIC EOUATIONS BY 0135 FOR INVERSE EIGENVALUE PR OilFNS BY NEANS OF TOPOLOGICAL IMAGING/ EXISTENCE AND UNlOUENfSS THEOREMS .(111 ORTHOGONAL POLYNOMIALS/ AN INPLENENTATION OF CHRI STOFFEL'S THEOREM IN THE THEORY CF 0157

ON THE METHOD Of NEKTON IN THE THEORY OF IMPLICIT FUNCTIONS/ M O * IC SYSTEMS/ THE IMPLICIT ITERATIVE METHODS OF SOLUTION OF LINEAR ALGEBRA 02*0 IAL EQUATIONS/ ON HIGHER ORDER STABLE IMPLICIT METHODS FOR SOLVING PARABOLIC PARTIAL DIFFERENT 0435

OPTIMUM EXTRAPOLATEO ALTERNATING 0IRECT10N INPI IC IT SCHEMES IN THE PRESENCE OF SINGULAR MATRICES/ 0201 / INCLUSION DOMAINS FOR EIGCNVAL'lES OF STOCHASTIC MATRICES 0104

INCLUSION OF EIGEN ELEMENTS/ 0 *4 * NORMAL OPERATORS IN UNITARY SPACES/ ON THE INCLUSION OF THE COMPONENTS OF 'HE FIRST EIGENVECTOR OF 0109

PROCESSES OF HIGHER CROER FOR THE ITERATIVE INCLUSION OF THE INVERSE MATRIX/ 9010 INCLUSION OF ZEROS BY MEANS OF AN INTERVAL ARITHMETIC/ Q29B

ON THE COMPUTATION OF INCLUSION REGIONS FOR PARTITIONED MATRICES/ 0249 CES/ ON AN INCLUSION THEOREM FOR PROPER VALUES OF TRIO!AGONAL MATRI 0233

INCIJSION THEOREMS FOR A SECTION OF A MATRIX/ 0399 ON FULLY IND-cCOHPOSABLE MATRICES/ 0135

DIRECT METHODS FOR SOLVING SYMMETRIC f&OEFINITE SYSTEMS OF LINEAR EQUATIPtS/ 0074 OR) THE INOEX OF A SQUARE MATRIX/ 0 3 1 *

DIRECT ANO INDIRECT METHODS/ 0944 AN ANALYSIS OF EQUALITY IN CtRTAM MATRIX INEQUALITIES/ 01BB

ANALYTIC INEQUALITIES/ 039* INEQUALITIES AND PARTIAL OROERS ON MATRIX SPACES/ 0911

THE EIGENVALUES OF COMPLEMENTARY PRINCIPAL SUBMATRICES/ INEQUALITIES CONNECTINS THE EIGENVALUES OF A HER H IT I AN M 0925 CES/ INEQUALITIES FOR PARTITIONED POSITIVE SFNIDEFINITE MATRI 0*34

INEQUALITIES FOR SUBMATRICES/ 09AB AN ANALYSIS OF EQUALITY IN CERTAIN MATRIX INEQUALITIES. 1 1 / 0972

AN IMPROVEMENT OF THE FISCHER INEQUALITY/ 090* REMARK ON THE CASE OF EQUALITY IN AN INEQUALITY/ 0*9B

GENERALIZATION OF HAOAMARO*S INEQUALITY FOR DETERMINANTS/ 0113 GENERALIZATION OF THE GOLOEN-THOMPSON INEQUALITY T R I E I A I E I B I I • T R | E I A * B I I / 0992

6 EQUATIONS/ OPTIMUM CHOICE O* INITIAL APPROXIMATION IN INTERPOLATION METHODS OF SOLYIN 0424 N OF EIGENVALUES ANO EIGENVECTORS WITHOUT REQUIREMENT OF INITIAL APPROXIMATIONS/ ITERATIVE COMPUTATIO 8*02

ON THE ALGEBRAIC CPWLeXITV OF INNER PRODUCT/ 0997 A NOTE ON THE INSTABILITY OF GAUSSIAN ELIMINATION/ 0993

ETERHINATION/ INTEGER ARITHMETIC ALGORITHMS FOR POLYNOMIAL REAL ZERO O 0212 TRICES HAVING AN INPORTANT ROLE I N THE STUDY OF BROWN IAN INTEGRALS/ PROPER VALVES OF NA 0111

ESTIMATES OF ERROR IN THE NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EOUATIONS I . / 0953 A FACTORIZATION OF MATRICES ARISING IN RATIONAL INTERPOLATION/ 094B

OPTIMUM CHOICE OF INITIAL APPROXIMATION IN INTERPOLATION METHODS OF SOLVING EQUATIONS/ 9*24 XED POINTS OF COMMUTING CONTINUOUS FUNCTIONS ON THE UNIT INTERVAL/ COMMON F| 0902

OF BOUNDS FOR THE SET OF VALUES OF A POLYNOMIAL OVER AN INTERVAL/ CONPUTAUON O i l * ON COMPUTING THE INVERSE MATRIX BY INTERVAL ARITHMETIC/ 4009

INCLUSION OF ZEROS BY NEANS OF A*! INTERVAL ARITHMETIC/ 029B COMPLEX INTERVAL ARITHMETIC 0*4*

SYSTEMS OF LINEAR EQUATIONS ANO MORE GENERAL SYSTEMS OF INTERVAL EQUATIONS/ ON INTERVAL ITERATIVE PROCESSES FCR 090* ON A CLASS OF SYSTEMS OF COMPLEX INTERVAL EQUATIONS IN A FORN SUITABLE FOR ITERATING/ 0903

ON THE CONVERGENCE OF INTERVAL ITERATIONS' 0 2 1 * IONS AND MORE GENERAL SYSTEMS OF INTERVAL EQUATIONS/ ON INTERVAL ITERATIVE PROCESSES FOR SYSTEMS OF LINEAR EGUAT 090*

AN INTRINSIC EXPOSITION OF THE THEORY OF DETERMINANTS/ 0912 TATIONS* LEAVE THE IN-1ITH ELEMENTARY SYMMETRIC FUNCTION INVARIANT/ N-SQUARE MATRICES WHICH. UNDER ROM PfRNU 02*5 FOR THE EIGENVALUE PROBLEM FOR REAL MATRICES BY MEANS OF INVARIANT CUNES/ ON THE POS-iBIHTV (f ERROR ESTIMATION 0*B5

MOMOTONICITV ANO TWE GENERALIZED INVERSE/ 0 0 * * OIRECT TECHNIQUE FOR INPP.OVINC A MATRIX INVERSE/ 0*97

FOR C0H.1ITING MATRIX PRODUCTS INVOLVING THE GENERALIZED INVERSE/ A HIGH-POWfft ITERATIVE METHOD 0 1 * • F AN ITERATIVE METHOD FOR THE COMPUTATION OF GENERALIZED INVERSE ANO ASSOCIATED PROJECTIONS/ ON THE CONVERGENCE O 01*9

COMPUTATION OF MATRIX INVERSE BY POWER SERIES METHOD/ 0*Bt NOTE ON THE ADDITIVE INVER3F EIGENVALUE PROBLEM/ 0*12

ON TKS MULTIPLICATIVE INVERSE ilGENVALUE PROBLEM/ 0*17 LICATION OF NORMALISING PROCESSES TO THE SOLUTION OF THE INVERSE EIGENVALUE PROBLEM FOR MATRICES/ APR 030? ING/ EXISTENCE AND UNIOUENESS THE CM EMS FOR INVERSE EIGENVALUE PROBLEMS BY MEANS OF TOPOLOGICAL IMAG 019*

INVERSE EIGENVALUE PROBLEMS FOR COMPLEX MATRICES/ 0*13 MATRIX/ THE INVERSE FOR THE REAL SIMILARITY TRANSFORM OF A COM'ANIOl 090*

ON THE DERIVATIVE OF THE INVERSE FUNCTION/ 053! BETWEEN THE COEFFICIENTS OF AN ANALYTIC FUNCTION ANO ITS FMVEASE FUNCTION/ RELATIONS 02*4

POWER SERIES EXPANSIONS FOR INVERSE FUNCTIONS/ 0192 GENERALIZED INVERSE MATRICES/ 0092

87

ESSES OF HIGHER CROEA FOR TMF ITERATIVE IMCIUSIC* OF THE INVERSE "«ATRU/ MOC 0010 CN COMPUTING THE INVERSE • M T i l t *Y INTERVAL ARITHMETIC/ <*0O*

THE IUVF^SF OF A CENTnaSVMNETRlC MATRIX/ 01*4 THE GENERALIZED I 4VERSF. OF A MN)K GAT IVE MATRIX/ * * 9 T

THE EXPLICIT INVERSE OF A TRIDIAGQKAl MATRIX/ 0*7« GENERALIZED INVtRSE OF MATRICES ANO ITS APPLICATIONS/ 9**9

FORHUtAE FXPRt:Sl*G THE VALUES OF THE COEFFICIENTS OF INVERSE TOMER SERIFS/ B2ST ON AN INVERSF PROBLEM FON PROPER VALUES OF MATRICES/ Q90B

ATRIX AMO THE COMPONENTS f*F ITS PROPER VECTOR»/ MATRICES INVFRSE TO VANOERHONOe MATRICES. APPLICATION TO THE STUN B+TA ON SOUARIKG MATRICES AND GENERALIZED INVERSES/ QUIA

INVERSION OF PFRSVMHETRIC MATRICES FAVIMG TOEPllTZ INVERSES/ 0228 ON TMO OIRFCT NETMIOS FOR CONFUTING 6EKERALIZED INVERSES/ 0919

AN ITERATIVE METHOD FOR COMPUTING GENERALI1*0 INVERSES/ 0 9 1 * HEAR SPECTRAL INVERSES/ 0 9 * *

TERMINATION OF A MATRIX ItV ITS SUBCLASSES OF GEAERALIZEO INVERSES/ OF 9*50 ATIONS BETWEEN 01AGCNAL ELEMENTS OF H MATRICES ANO THEIR INVERSES/ REL 9 1 * 1

ON MATRICES MNOSE INVERSES HAVE POSITIVE ELERFNTS/ 0299 ON THE USF OF GENERAL IZEO INVERSES IN FUNCTION MINIMIZATION/ 0 9 1 * SUBCLASSES OF GENERALIZED INVERSES OF NATRKFS/ 0*99

FURTHER CONTRIBUTIONS TO THE THEORY OF GENERAL!ZEO INVERSES Or <<*. TRICES ANN ITS APPLICATIONS/ 9*** ON GENERALIZED INVERSES OF P£STITIONEO F"*RICES/ M M

SPECTRAL INVERSES OF STOCHASTIC MA (ICES/ 05*2 HEAR SPECTRAL INVERSES WHICH ARE PARTI . ISOMETRIES/ 9*9*

SOME FINITE INVFRSlbil FORNNX A t / 9E92 ALGORITHM 1 9 . INVERSION OF - 810CANISE TRIOlAGONAL MATRIX/ 0 9 * 9

•HIDE CONTROL THEORY/ ANALYTICAL INVERSION OF A QUASSIORTNOSONAL MATRIX ARISING IN LINEAR 0*99 ERROR PROPAGATION ANO ROUND l i f t ERROR IN THE GENERAL I ZED INVERSION OF MATRICES/ 0*T5

SES/ INVERSION OF PE*SVNMETRIC MATRICES HAVING TOCPLITZ INVE* « ! M A NOTE ON THE INVERSION OF POMER SERIES/ 3009

INVERSION OF RATIONAL POLVNOHlRL MATRICES/ 0 *01 ON A METHOD FOR INVERT**C BLOCK-TRBDtAGONAL MATRICES/ K I T

THE MODIFIED METHOD OF EXTENSION "OR INVERT INC MATRICES/ M O * ON A NETHOO rUR INVERTING PR TRICES/ 0 9 * 0

ON THE GAUSSIAN ELIMINATION METHOD FOR INVERTING SPARSE MATRICES/ 091T PRODUCTS OF TWO INVOLUTIONS IN TME GENERA*. LINEAR GROUP/ 0220

METHODS FOR COMPUTING THE SPECTRAL RADIUS OF NONNECATIVf IRREOWCIBLE RATRICCS/ 0129 CONCERNING DIAGONAL SIMILARITY OF IRREDUCIBLE MATRICES/

E COMPUTATION OF TME MAXIMAL EIGENVALUE OF A NONMECATIVE IRREDUCIBLE MATRIX/ NOTE ON TM THODS FOR COMPUTING TME SPECTRAL RADIUS OF A NONMEGATIVE IRREDUCIBLE MATRIX 1 1 / NE C U T

ON BRAUFR*S BOUNDS FOR THE CHARACTERISTIC ROOTS OF IRREDUCIBLE STOCHASTIC MATRICES/ 0929 NEAR SPECTRAL INVERSES KMBCH ARE F'^RTIAL ISOMETRIFS/ 9 * 9 *

ENS OF COMPLEX INTERVAL EOUATIOMS IN A FORM SUITABLE FOR ITERATING/ ON A CLASS OF SYST 0909 GENERALIZATION OF SORR,t«S ITERATING PROCESS/

ON ITERATION/ ROBE OH ITERATION/

ON A CERTAIN PETrOJD OF ITERATION/ JSOS SYSTEM OF LINEAR EQUATIONS TO A FORM SUITABLE FOR SIMPLE ITERATION/ ThE REDUCTION OF A Off**

ON ITERATION FOR SYSTEMS OF JQNLINLAR EQUATIONS/ 0090 A SIMNLTANfOUS ITERATION NETVOO FOR TME (MTSYMMETRtC EIGENVALUE PROOLEN/ 0404

ON THE CONVERCENCE OF INTERVAL ITERATIONS/ * * t « LOCAL AND GLOBAL CONVERGENCE OF CENERALIIE* LINEAR ITERATIONS/ 0 *10

TRIX DIAGONAL DOMINANCE NlTN AFPLICATION TO GAVSS-SSIOEL ITERATIONS/ NONLINEAR GENERALIZATIONS OF NA Q99T MATRIX REPRESENTATIONS OF NONLINEAR EQUATION ITERATIONS - APPLICATION TO PARALLEL CONFUJIATION/ * * 9 T

ON CONVERSANCE OF ITERATIONS FDR FINED POIRTS OF REPULSIVE TYPE/ 0204 HBER/ AN ITERATIVE APPAONIMAT ION M M FIN0BN6 THE NTH ROOT OF A NO 9*09 THOUT REOUIRENENT OF INITIAL APPROXIMATIONS/ ITERATIVE COMPUTATION OF EIQSRNALOES AN* EIOEMNECTORS ' . : 9*02 IB USE I N APPROXIMATING FUNCTIONS/ ITERATIVE PQAMOLAE FOR THE SOLUTION OF EOOATIONS AMO THE 09*2

PROCESSES OF HIGHER ORDER FOR TMC ITERATIVE INCLUSION OF THE INVERSE MATRIX/ OOtO AN ITERATIVE NETHOD FOR COMPOUND lEHERIUZBO INVERSES/ O f t *

THE GENERAL IZFO INVERSE/ A HlGM-PONER ITERATIVE METHOD FOB CONFUTING MATRIX PRODUCTS IRNOLVING 0 1 4 * RS OASED ON THE THEORY OF PERTURBATIONS/ AN TEAATtVE METHOD FOR FINDINS THE PROPER VALUES 440) PEC TO 0079 L EQUATIONS/ ON AN ITERATIVE METHOD POO SOLYINS ALfEORAIC AND TRAHSCFNBEMTA 0020 PER VALiffS/ ON AN ITERATIVE METHOD FOB SAVINS T « COMPLETE PNOOLEH OF PRO 9 2 0 * «SE ANO ASSOCIATED PROJECTIONS/ ON THE CONVERGENCE OF AN ITERATIVE METHOD FOR THE CONFTJf AT ION OF GENERAL I S O INVf Q>99

ON THE CONSISTSNCV OF LINEAR STATIONARY ITERATIVE PETHOOV 0909 Y OF ROUNDING ERROR IN IMF SOLUTION OF LINEAR SYSTEMS BY ITERATIVE METHODS/ STOP O f f * prCHEV ACCELERATION PROCFDWRES FOR ALTERNATING OIROCTION ITERATIVE PETNODS/ ON CMS 0190 i JUGATE OPERATORS/ ON SORE ITERATIVE MEIINJOS FOR OETERMIMlNG PNOPER VALUES OF SELF 0910

ON CERTAIN ITERATIVE HJTHQOS FOR OIABONRLIZINO STONETRIC MATRICES/ 0 1 * * NEAR FUNCTIONS BY THE METHOD OF LEAST SQUARES/ ITERATIVE PETMODS FAX ESTIHATIN9 THE PARAMETERS OF NONLI 0 9 * 0 ABLY DECOMPOSABLE MATRICES/ ESTIMATES ANO ITERATIVE HEWNJ01 001 FCNOfWS SIMPLE •NOPE* VALUES OF NE 0 t * 9

A CLASS OF ITERATIVE METHODS POM MaCDMPHIC ENACTIONS/ 0 * 9 0 POSITIVE KFINITENESS. RONOTOMICITY, ANC CONVENCENCE OF ITERATIVE METHODS FOR 110140 SYSTEMS/ APPLICATIONS OF PA 0 9 9 *

MS/ SECOND OtOXFE ITERATIVE HETHODi DOR TNE SOLUTION OF LANDS LINEAR SYSTE 0 9 0 * S/ TNE IMPLICIT ITERATIVE METMOTi OF SOLUTION OF LINEAR ALOEORAIC SYSTEM 9299 VECTORS/ AN ITERATIVE PMOCEDON? TO COMPUTE THE '4994L MATRIX OF EIOFO 0*79

RATES OF CONVERGENCI FOR A CLASS OF ITERATIVE ?~CEOUt€S/ 099T ORDERS OF COMVfiRSENCE OF ITERATIVE P9QCEDWRSS/ 0999

CATION OF COWVERGfNCE ANO ERROR BfN*9S FOR A GENERAL I >E0 ITERATIVE PROCESS/ INVESTI 0 *01 TRACT THEOREM ON SHOVING ANO IMPROVING CONVERGENCE OF AN ITERATIVE PROCESS FOR NONLINEAR EQUATIONS/ AN ADS 0122 E UBKNQNM/ ON AN ITERATIVE PROCESS FOR SOLVING A GENERAL EQUATION NlTH ON 0900

ON TNE RATE OF CONVERGENCE OF CERTAIN ITERATIVE r*«KESSfS/ 919T ACCELfRATlNG TNE CONVERGENCE OF NATSIX ITERATIVE PROCESSES/ 0 2 * *

SOME GENERALIZATIONS OF A THEOREM OF A . M, 0STNMSK1 ON ITERATIVE P N K E S t t S / 9 2 2 * A BREAKIRO-OFF CRITERION FOR ITERATIVi PROCESSES/ 0 2 9 *

ON THE CONVEREERCE OF ITERATIVE FNOCESKS/ ©* *» HATE OF THE GCNERATFO ROUND OFF ERROR I N CONSTANT MATRIX ITERATIVE PROCESSfS/ A MEAN SQUARE EST I §0 *9 ARIL 1STIC ANO STATIONARY ESTIMATES OF THE FINAL ERROR IN ITERATIVE PROCESSES/ ON THE COMPARISON OF POOD 0 * 2 *

BEST APPROXIMATION TO THE IMPROVEMENT O rONVENGENCE OF ITERATIVE PROCESSES/ APPLICATION OF POLTRONlNVS OF 9 tT2 ORATIC FORMS/ ON TME CONVEASENCS OF ITERATIVE PROCESSfS AND CRITERIA FOR 0E»INITENESS OF QUA OtT I AIC EQUATIONS/ ON TNf CQNVERCCNCF OF ITEttATlVf PROCESSES FOR SfltMlRS 9VSTENS OF LINEAR ALGEDR 0 2 * 1 ONS/ ON TME PROBLEM CF ACaiCRATINC CONVERGENCE OF ITERATIVE PROCESSES FOR SOLVfKC S'STEMS OF LINEAR EQURTI M * S

38

- A * 0 ' ITERATIVE PROCESSES FOR SOLVING THE MATRIX EQUATION X I 2 I 0124 NURE GENERAL SYSTEMS OF INTERVAL EQUATIONS/ ON INTERVAL ITCRATIvE PROCESSES FOR SYSTEMS OF LINEAR EQUATIONS AND 0)S4 TORS/ ON ITERATIVE PROCESSES FORMED FROM WMOIUNF REDUCIBLE OPERA 0007

ITERATIVE PROCESSES WITH MINIMAL RES'OUALS/ 029) ITERATIVE SOLUTION OF A SYSTEM OF LINEAR EQUATIONS/ 025 ) ITERATIVE SOLUTION OF LARGE LINEAR SYSTENS/ 0 5 * *

THE EIGENVALUE PROBLEM AND jACOKAM-L IKE METHODS FOR ITS SOLUTION/ 02B9 OF LINEAR ALGE8RAIC EQUATIONS BY MEANS OF THE PETHOO OF JACOBI/ STABILIZATION OF ILL-CONOIT lOWEO SYSTEMS 01)5

ON RATES OF CONVERGENCE OF JACOBI AM) GAUSS-SEIOEL METHODS FOR «*-FUNCTIONS/ 0*40 / ON JACOBI AND JACOBt-LIKE ALGORITHMS TN A PARALLEL CONPtiTER 0473 RATIONS OF A BAR/ ON THE SPECTRA OF JACOB! FORMS IN CONNECTION tfiTH THE THEORY OF SUDDEN VIB 0300 ROSLEMS/ ON THf CONVERGENCE OF A JACOBI PROCESS FOR ORDINARY AND GENERALUFO EIGENVALUE P 0572

APPLIED TC A CLASS Cc NONLINEAR PROBLEMS/ METHODS OF JACOBI. GALSS-SEI0EL. OVER (UNDER) RELAXATION BY BLOCKS. G)4» ON JACOBI AND JACOBH.IKE ALGORITHMS ON A PARALLEL COMPUTER/ M l )

THE JORDAN METHOD OF ELIMINATION ANO IT> APPLICATIONS/ 0 )75 ON MATRICES THAT CAN BE REDUCED TO CANONICAL FOR3 (OF JORDAN! BY THE SANE LINEAR SUBSTITUTION. I AND 1 1 / 0529

RI ESTIMATES FOR TRUNCATION ERROR OF CONTINUED FRACTIONS K l l / B I N I ) / A FRIO 0144 TRIX/ GEOMETRIC MEANING OF THE METHOD OF GOLUB ANO KAHAN FOR THE CALCULATION OF THE SINGULAR VALUES OF A MA 0101

OSCILLATION MATRICES ANO KERNELS ANC SMALL VIBRATIONS OF MECHANICAL SYSTEMS/ 0145 E MULTIPLYING FACTORS IN THE METHOD OF ACADEMICIAN A. N. KRYLOV/ ON SOME PROPERTIES OF TH 0354

THE SECULAR EQUATION BY THE METHOD OF ACADEMICIAN A. N. KRYLOV/ ON THE THEORY FOR THE GENERAL CASE OF THE TRANSF 0217 ON THE METHOD OF ACADEMIC U N A. N. KRYLOV FOR FINDING THE SECULAR EQUATION/ 0355

ON AN ALGEBRAIC ANALYSIS OF TM£ -ETM30 OF A. * . XKYIG* FOR TRANSFORMING THE SECULAR EQUATION/ 014 ) A GENERALIZATION OF THE PROPERTY L OF NOTZKIN AND TAUSSKY/ 0444

SOME RESULTS CONCERNING THE TRANSITION FRON THE I - TO THE P- PROPERTY FOR PAIRS OF FINITE MATRICES/ 0510 PERRON-FROBENtUS PROPERTIES OF AX - LAMBDA BX/ 0 )44

RC THEORY/ THE ROOTS CF THE MATRIX PENCILS (AY • LAMBDA BY), EXISTENCE. CALCULATIONS, AND RELATIOIS TO GA 0515 THE NUMERICAL SOLUTION OF THE BOUNDARY VALUE PRCBLEN FOR L*PIACE*S EQUATION ANO THE COMPUTATION OF EIGENVALUES tr 03*5

LATENT ROOTS ANO LATENT VECTORS/ 0204 LATENT ROOTS AW LATENT VECTORS/ 0204

THE LAURENT EXPANSION FOR A NEARLY SINGULAR MATRIX/ 0315 ON THE LOCALIZATION OF ZEROS OF LAURENT SERIES BY USE OF PARAMETERS/ 0000

WEEN METHODS OF THE ftCTZ-GALENKIN TYPE ANO THE METHOD OF LEAST SQUARES/ ON RELATIONS RET 0244 G THE PARAMETERS OF NONLINEAR FUNCTIONS BY THE METHOD OF LEAST SQUARES/ ITERATIVE NETHOOS FOR EST (MAT IN 0040 HE** EQUATIONS WHICH MINIMIZE ERROR I N AN ABSTRACT NORN/ LEAST SQUARES ALGORITHMS FOX FINDING SOLUTIONS OF OYERDE 0500 E LEVENNERG-MAROUARDT ANO GAUSS UGORITHNS FOR NONLINEAR LEAST SQUARES APPROXIMATION/ DERIVATIVE FREE ANALOGUES 0 0045

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PARTITIONED MATRKES AMD iAOSS-SEIHEL CONVFkCEMCE/ 00*0 REMS. REGULARITY THEOREMS MO BOUNDS FOR DETERMINANTS OF PARTITIONED MATRICES. I I . SCMF OETERNINA-.iAL IDENTITIES/ 0099

INEQUAimES FOR PARTITIONED POSITIVE SEMIOEFINITE MATRICES/ DAS4

ON THE EFFECTS OF SCALING OF THE PEACENAK-RACHFOR0 METHOD/ 0590 NDRNJL MATRIX PENCILS/ 012T

ELATIONS TO CAME T H E U R ' / THE ROOTS OF TIC MATRIX PENCILS IAV $ LANRfM B V I . EXISTENCE. CALCULATIONS. ARM R 9 5 1 * ON SOME PROPERTIES OF TR101 AGONAL AMD PENTACIAGONAL MATRICES/ MTT

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ON MEM PERSPECTIVES IN NUMERICAL COMPUTATION/ 0T12 INVERSION OF PERSYMMETRIC MATRICES HAVING TOEPLITZ INVERSES/ 0i2A

PROXIMATE COMPUTATION OF PROPER VALUES ANO THE THEORY OF PERTURBATION/ AP 017? BY PROJECTION OPERATOR FOR PAL ISM/ STUDIES IN FERTURBATICN -HEORV. I V . SOLUTION OF EIGENVALUE PROBLEM 0392 |N« THE PROPER VALUES ANO VECTORS RASED ON THE 1HE0RT OF PERTURBATIONS/ A4 ITERATIVE METHOD FOR FIND OAT*

REMARK ON EIGENVALUE EST BIATES BY PERTURBED DIAGONAL MATRICES/ 0 1 2 * ICATIOR TO THE SOLUTION OF SORE PROB" EMS !N MATHEMATICAL PHYSICS/ A METHOD FOR SOLVING SYSTE9S OF THREE-TEN* ALGE 32*4

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METHODS FOR THE SEARCH CF SAO0LE POINTS/ D M * ON CONTINUOUS FUNTT:JNS* COMMUTING FUNCTIONS AND FIXED POINTS/ 00B9

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S/ ON THE EXTREME POINTS OF THE SET OF SUBSTOCHASTIC AND SYMMETRIC MATRICE 02*9 ON STABLE COMPUTATION OF THE VALUES OF A POLYNOMIAL/ 007V

ON A METHOD FOR LOCALIZING THE ZEROS OF A POLYNOMIAL/ OILS COMPUTING REAL ZEROS OF A POLYNOMIAL/ 31*7

A POSTERIORI ERROR BOUNDS FOR THE ZEROS OF A POLYNOMIAL/ 0197 ON i-ME ELIMINATION OF A REGULAR FACTOR FROM A MATRIX POLYNOMIAL/ 0771

ON TNE HfRMITE MATRIX OF A POLYNOMIAL/ 032B A THEOREM ON RATIONAL ZEROS OF A POLYNOMIAL/ 0324

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CN EUCLID'S ALGORITHM ANO TNE COMPUTATION OF POLYNOMIAL GREATEST COMMON OIVISORS/ 00*4 OR THE CHARACTERISTICS OF A POLYNOMIAL, I N A MATRIX/ 0990

ON THE RESOLUTION OF A MATRIX POLYNOMIAL INTO HM3HIALS/ 0272 SOLUT'.OM OF THE PARTIAL PROBLEM CF PROPER VALUES OF POLYNOMIAL MATRICES/ 9378

ON A METHOD FOR CONSTRUCTING MATRIX SOLUTIONS OF POLYNOMIAL MATRICES/ 0979 INVERSION OF RATIONAL POLYNOMIAL MATRICES/ 0401

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ON THE RESOLUTION OF POLYNOMIAL MATRICES INTO LINEAR HJLTIPLIERS/ 0270 CONDITIONS FOR THE ^SUCTION OF A POLYNOMIAL MATRIX TO DIAGONAL FORM/ 0009

ON THE DEGREE OF THE MINIMAL POLYNOMIAL OF * COMMUTATOR OPERATOR/ 0019 COMPUTATION OF BOUNDS FOR THE SET OF VALUES OF A POLYNOMIAL OVER AN INTERVAL/ O H *

INTEGER ARITHMETIC ALGORITHMS FOR POLYNOMIAL REAL ZERO DETERMINATION/ 0212 THE CALCULATION OF MULTIVARIATE POLYNOMIAL RESULTANTS/ 0009

CIRCULAR ARITHMETIC AND THE OFTERMIMTION OF POLYNONIAl ZEROS/ 01*7 CIRCULAR ARITHMETIC AND THE DETERMINATION OF POLYNOMIAL ZEROS/ 0213

ER VALUES CF A MATRIX (WITHOUT USE OF THE CHARACTERISTIC POLYNOMIAL I / SOLUTION OF ALGEBRAIC EQUATIONS. APPLlCATIO 0*B* GREATEST COMMON 01VISORS OF SEVERAL POLYNOMIALS/ 9039

NATRIUM. NORMS AND THE ZEROS OF POLYNOMIALS/ 0109 ON THE EXPLICIT REPRESENTAT ION OF CIRCULANTS BY POLYNOMIALS/ 0999

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93

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ON E1F0NCHTS OF FAIR H I V E MATRICES/ 0991 MATRICES »ITM FRESCRIOEO PRINCIPAL ELEMENTS ANN ( n o k j * V K . 3 V 0 * 1 *

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ON FROFCA VALUES OF FRINCIFAL T BNATPICES OF A * JAMA*. MATRIX/ 0292 THE EIGENVALUES OF COMPLEMENTARY PRINCIPAL SNOMTRICES OF « POSITIVE *EFINI*E NCTHIX/ 0 9 2 *

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A NOTE ON MAOANARO FNOOUCTS/ 0100 A THEOREM CI TME TRACE Of CERT A OX MATRIX FOOOUCTS/ 0909

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RTUROATION THEORY. I V . SOL WTI OX OF EICCNVALUE FNOOLEM OT PROJECTION OPEN**** FORMALISM/ STUOIES I N FE * 9 « OR THE COMFUTATIOM OF GENERALIZE* INVERSE ANO ASSOCIATE* PROJECTIONS/ ON THE CPJNJCMCTHCT. OF AN ITERATIVE MfTHOO F 0 t « 9 ETRV OF RECTANGULAR MATRICES ANO ITS AFFL KAT«ON TO REA' FROJECTIVE AAA) NOR CUCLIOEAM CEMETRV/ ONE GEOM 0 9 * 0

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FRICAl METNOOS FOR FIBBING FNOFER VALUES ANO PROFfJI SUOSFACES OF LINEAR U F I B A T Q H I / 0990 METMOOS OF DETERMINING RCFER VALUES AM* FNOFER VECTORS OF POLVNjfjHIAL MATRICES/ 0901

AFFNOXINATI COMPUTATION OF FNOFER VALUES ANC THE THEORY OF PERTURBATION/ M T 9 OR ESTIMATING ERROR I N APPROXIMATE FNOFER VALUES AMO VECTORS/ 02*9

AT IONS/ AN ITERATIVE METHO* FOR FtAOINC THE FNOFER VALUES AM* VECTORS OASCO ON THE THEORY OF FERTUR* OOTN ON OF ORTHOEOMAL TRANSFORMATIONS TO THE BETERMIMTHJN OF FROFER VALUES AM* VECTORS OF FOLVMOMfAL MATRICES/ AFFLK 0900 Otf!> SYSTEM OF ALOEORAIC EOVAI IONS/ CONFUTATION OF FNOFER VALUES OF P^HXS OF A TRANSFORMATION OF A HOMOSEME M * 0 S OF NORMAL EOUATIONS/ OISTRIOuTIOM OF THE FNOFER VALUES IN THE TRANSFORMATION OF SEtOEL FOR STSTEM 0929 UOV OF COOTS CF F I X I • 0 AAA TO THE OETERPINATIOX CF THE FNOFER VALUES OF A MATRIX IMIWOWT US* OF THE CHARACTER! 0 * 0 *

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SOME OBSERVATIONS RELATIAS TO THE PROBLEM OF PROPER VALUES OF MATRICES/ • ! • * OH AN INVERSE PROBLEM FOR FROFCR VALUES OF MATRICES/ 0900

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SOLUTION OF THE PARTIAL PROBLEM OF PROPER VALUES OF POLYNOMIAL MATRICES/ 09T* X/ ON PROPER VALUE* OF PRINCIPAL SUOMATRKES OF A NHXN1 NAT*I 0292

ON SORE ITERATIVE HFTHOBS FO* 0CTERMININ* FBOFE* VAL.UES OF SELF CONJUGATE OPERATORS/ * 9 M ON THE SOLUTION V THE PARTIAL PROBLEM OF PROPER VALUES OF SOME NATRICES OF S*ffCI<\ FORM/ O f « l

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EM-INVERSES. ANO PSEUDO-INVERSES OF AN ARBITRARY LINEAR TRANSFORMATION/ SEMI-INVERSES, REFLEXIVE S 0107 THE THEORY OF BETA TRANSFORMATION MATRICES/ 0 2 * 8

TIOT.-S/ COMPUTATION OF PROPER VALUES BY MEANS OF A TRANSFORMATION OF A HOMOGENEOUS SYSTEM OF ALGEBRAIC EQUA 0148 / DISTRIBUTION OF Tr f PROPER VALUES IN THE TRANSFORMATION OF SEIOCL FOR SYSTEMS OF NORMAL EQUATIONS 0325

COMPARISON. 1 1 / THE NUMERICAL TRANSFORMATION OF SLOMLY CONVERGENT SERIES BY METHODS OF • ? • £ E DIAGONAL FORM/ ON THE TRANSFORMATION OF SYMMETRIC SPARSE A1RICCS TO THE TRIPL 0 *12

A. N . RRVLOV/ ON THE THEORY FOR THE GENERAL CASE OF THE TRANSFORMATION 4F THE SECU.A* EQUA.iON BY THE METHOD OF O U T EXTREMF PROPERTIES OF PROPER VALUES OF UNITARY TRANSFORMATIONS/ OfclT

r-H A CERTAIN SPECIAL CLASS OF LINEAR TRANSFORMATIONS/ 0101 ON THE DECOMPOSITION OF SINGULAR LINEAR TRANSFORMATIONS/ 0210

IX TO A QUASI STOCHASTIC MATRIX BY A METHOD OF SIMILARITY TRANSFORMATIONS/ REDUCTION OF A POSITIVE MATR 0023 EXTREME PROPERTIES OF LINEAR TRANSFORMATIONS ANO GEOMETRY IN UNITARY SPACES/ 0815

CANONICAL FORM FOR MATRICES UNDER UNITARY CONGRUENCE TRANSFORMATIONS I t CONJUGATE NORMAL MATRICES/ 853* LINEAR TRANSFORMATIONS ON MATRICES/ 034*

ECTORS OF POLYNOMIAL MATRICES/ APPLICATION OF ORTHOGONAL TRANSFORMATIONS TO THE DETERMINATION OF PROPER VALUES AN 0 3 M • r ^ i C A T I O N OF ORTHOGONAL TRANSFORMATIONS TO THE SOLUTION OF NONLINEAR SYSTEMS/ 0304

AN ALGEMRAIC ANALYSIS OF THE METHOD OF A. M. KPYLCV FOR TRANSFORMING THE SECULAR EQUATION/ ON 0143 GENERALIZED CAVLEV TRANSFORMS AND STRICTLY DISSIPATIVE MATRICES/ 0134

INITE NATRICES/ SOME RESULTS CONCERNING THE TRANSITION FROM THE L- TO THE P- PROPERTY FOR PAIRS OF F 8510 ON A CHARACTERIZATION OF TRI-OtAGONAL NATRICES BY M. FIEDLER/ 0455

THE TRIANGULAR DECOMPOSITION OF HANKEL MATRICES/ 0*32 ON SOME PROPERTIES OF TRIDIAGONAL AND PENTADIAGONAL. NATRICES/ QOTT

ON THfc REDUCTION OF A SYMMETRIC MATRIX TO TRIOIAGONAL FORM/ 0001 NUMERICALLY STABLE DEFLATION OF HESSENBERG ANO SYMMETRIC TRIOIAGONAL MATRICES/ 0075

(IN AN INCLUSION THEOREr FOR PROPER VALUES OF TRIOIAGONAL MATRICES/ 0233 A FULLT STABLE RATIONAL VERSION OF THE QR ALGORITHM FOR TRIOIAGONAL MATRICES/ 0472

THE EXPLICIT INVERSE Of * TRIOIAGONAL MATRIX' 04TB ALGORITHM 15 . INVERSION OF A BLOCRHlSE TRIOIAGONAL MATR X/ 0543

*0R THE COMPUTATION OF THE EIGENVALUES OF AN HERMITtAN, TRtOIAGONAL MATRIX/ A STA9LE, RATIONAL QR ALGORITHM 0454 TRIOIAGONALIZATION OF COMPLETELY N0NNEGAT1VE MATRICES/ 0445

THfOREMS AMD PROPERTIES OF SIMPLEXES {GENERALIZATIONS OF T3IG0N0NETRIC RULES TO N-OtMENSfOMAI SIHPLEXES»> DETERMI 0112 N 'HE TRANSFORMATION OF SVPHETRIC SPARSE MATRICES TO THE TRIPLE DIAGONAL FORM/ 0 0512

A PRIORI ESTIMATES FOR TRUNCATION ERROR OF CONTINUED FRACTIONS M 1 / 8 1 * 1 1 / 01 *4 THO-PARAMETER OVER-RELAXATION/ 0229

A METHOD OF IMCJNSTRAirEO GLOBAL OPTIMIZATION/ 0057 A RANK TWO ALGORITHM FOR UNCONSTRAINED MINIMIZATION/ 0038

A NONGRADIFNT ANO PARALLEL ALGORITHM FOR UNCONSTRAINED MINIMIZATION/ 0081 A GENERAL CONVERGENCE RESULT FOR UNCONSTRAINED MINIMIZATION METHODS/ 0419

QUASI-NEWTON METHODS FOR UNCONSTRAINED OPTIMIZATION/ 0179 A COMPARISON OF MOOIFIEO NEWTON METHOOS FOR UNCONSTRAINED OPTTMIZATION/ 0377

FOR FiNCTlON MINIMIZATION/ UNIFIEO APPROACH TO QUAORATICALLY CONVERGENT ALGORITHMS 0224 AN AOA»TIVE ALGORITHM FOR MINIMIZING A UNINOOAL FUNCTION OF 1 VARIABLE/ 0108

r«.«; OF TOPOLOGICAL IMAGING/ EXISTENCE kM UNIQUENESS THEOREMS FOR INVERSE EIGENVALUE PROBLEMS BY M 0198 AR SYSTEM/ EXISTENCEt UNIQUENESS, ANO COMPUTATION OF THE SOLUTION OF A NONLINE 0345 ON FIXED POINTS OF COMMUTING CONTINUOUS FUNCTIONS ON THF UNIT INTERVAL/ CONN 0382 ATRICES/ CANONICAL FORM FOR NATRICES UNDER UNITARY CONGRUENCE TRANSFORMATIONS I , CONJUGATE NORMAL M 0539

A GENERALIZATION OF THE UNITARY GROw*/ 0371 A DETERMINANTAL IDENTITY FOR PROJECTORS I N A UNITARY SPACE/ 0111

ENE PROPERTIES OF LINEAR TRANSFORMATIONS AND GECMETRV IN UNITARY Sf MIES/ EXTR 0015 NPPNENTS OF THE FIRST EIGENVECTOR OF NORMAL OPERATORS IN UNi»ARV SPACES/ ON THE ILLUSION OF THE CO 0109

EXTREME PROPERTIES OF PROPER VALUES OF UNITAH" TRANSFORMATIONS/ 0017 TFRATIVE PROCESS FOR SOLVING A GENERAL EQUATION WITH ONE OMOtOHW ON AN I 0540

ON THE QUESTION OF THE ESTIMATE OF AN UNREMOVABLE ERROR IN THE SOLUTION OF LINEAR SYSTEMS/ 0374 A SIMULTANEOUS ITERATION METHOD FOR THE UNSYMMETRIC EIGENVALUE PROBLEM/ 0084

THE SOLUTION OF LARGE SPARSE UNSVMNETRIC SYSTEPS OF LINEAR EQUATIONS/ 0097 ON CERTAIN MATRICES UTIMZABLE AS TEST MATRICES/ 037C

ON MATRICES MlTH A RESTRICTED NUMBER OF DIAGONAL VALUES/ 0123 MATRICES *{TH PRFSCRISED PRINCIPAL ELEMENTS ANO SINGULAR VALUES/ 0414

A QUADRATIC PRCBLEM OF PROPER VALUES/ 0434 RATIVE METHOD FOR SOLVING THE COMPLETE PROBLEM OF PROPER VALUES/ ON AN 1TE 0284

NUMERICAL METHOOS FOR FINOING PROPER VALUES ANO PROPER SUBSPACES OF LINEAR OPERATORS/ 0350 ON POWER METHODS OF DETERMINING PROPER VklUK ANO PROPER VECTORS OF POLYNOMIAL MATRICES/ 0381

100

APPROXIMATE COMPUTATION CF PROPER VALUES ANO THE THEORY OF PERTURBATION/ 017? ON ESTIMATING ERROR IN APPROXIMATE PROPER VALl'ES ANO VECTORS/ 0 2 0 5

AN ITERATIVE METHOD FOR FINOING THE PROPER VALUES ANO VECTORS BASEO ON THE THEORY OF PERTURBATIONS/ 0 0 7 9 RTHOGONAL TRANSFORMATIONS TO THE DETERMINATION CF PROPER VALUES ANO VECTORS OF POLYNOMIAL M A T * I C E S / APPLICATION 0 0 3 8 0 TEN OF ALGEBRAIC EQUATIONS/ COMPUTATION CF PROPER VAL'lES 8V * » \ N S OF A TRANSFORMATION 3F A HOMOGENEOUS i V S 0 1 4 8 RMA> E Q U A T I O N / D ISTRIBUTION OF THE PROPER VALUE: fr, CHE TRANSFORMATION OF S'.IOEL FOR SYSTEMS OF NO 0 3 2 5 0 OF 'jOLUB ANL KAHAK FOR THE CALCULATION CF THE SINGULAR VALUES uT * MATRIX/ GEONET'dC MEANING OF THE METHO 0 1 0 1 ROOTS OF P I X I • J AM) TO THE DETERMINATION OF THE PROPER VALUES OF t MATRIX I WITHOUT USE OF 7HE CHARACTERISTIC PO 04B6

CN THE REAL ANO ABSOLUTE SINGULAR VA'.UES OF A MATRIX PRODUCT/ 0 5 2 0 ON STABLE COMPUTATION OF THE VALUES OF A ?OLYNO»ilAL/ C029

COMPUTATION OF BOUNOS FOR THE SET OF VALUES OF A P3LYN04IAL OVER AN INTERVAL/ 0 1 1 6 0,1 THE SEPARATION OF THE PROPER VALUES OF A POSIT IVE MATRIX/ 0 3 6 2

OMETRIC SCHEME FOR CONSTRUCTING PROPER PI ANES AM) PROPER VALUES OF LINEAR OPERATORS/ GE £ 2 6 0 SOME OBSERVATIONS RELATING TC »ME PROBLEM CF PROPER VALUES OF M A T l I C E S / 0 1 6 9

ON AN INVERSE PROBLEM FCR PROPER VALUES OF MATRICES/ 0 . OF BROKNlAN INTEGRALS/ PROPER VALUES OF MATRICES HAVING AN IMPORTANT ROLE IN THE STUOV O i l .

STINATE! ANO ITERATIVE METHOOS FOR FINOING SIMPLE PROPER VALUES OF NEARLY DECOMPOSABLE MATRICES.' E 0 1 4 5 SOLUTION OF 1HE PARTIAL PRCSIEH CF PROPER VALUES OF POLYNOMIAL MATRICES/ 0 3 7 8

CN PROPER VALUES OF PRINCIPAL SUBHATRiCtS CF A NORMAL MATRIX/ 0 2 3 ? ON SOME ITERATIVE METHOPS FOR DETERMINING PROPER VALUES OF SELF CONJUGATE OPERATORS/ 0 3 1 0 ON THE SOLUTION OF THE PARTIAL PROBLEM CF PROPER VALUES OF SOME MATRICES OF SPECIAL FORM/ 0 5 4 1

ON TCC PROPER VALUES OF MJMS ANO PROOUCTS OF SVWSTRIC MATRICES/ 0 3 3 7 FQRMULiE EXPRESSING THE VALUES Of THE COEFFICIENTS OF INVERSE PONER S E R I E S / 0 2 6 7

ON AN INCLUSION THEOREM FCR FROPER VALUES OF TRIDIAGONAL MATRICES/ 0 2 3 3 E A I K E » E PROPERTIES CF PROPER VALUES OF UNITARY TRANSFORMATIONS/ 0 0 1 7

HE COMPONENTS OF ITS PROFER VECTORS/ MATRICES INVERSE TO VANOERMONDE MATRICES. APPLICATION TO THE STUDY OF THE RF 0 4 7 4 SOLVING CONFLUENT VANOERMONOE SYSTEMS OF HERHITE TYPE/ 0 1 5 8

ON DETERMINING REAL ZEROS OF REAL FUNCTIONS OF ONE VARIABLE/ 0 4 3 1 APTIVE ALGORITHM FOR M I N I M I Z I N G A UNIHOOAL FUNCTION OF 1 VARIABLE/ AN AD 0 1 0 8 ICATION OF ANALYTIC CONTINUATION BY MEANS OF A CHANGE OF VARIABLE I N NUMERICAL ANALYSIS/ APPL 030S

ON THE CONVERGENCE OF THE VARIABLE ME'.RIC ALGORITHM/ 0 4 4 2 ON THE THEORY CF MATRIX VARIABLES/ 0 2 9 6

M I N I M I Z A T I O N OF FUNCTIONS OF F I N I T E L Y MANY VARIABLES BY MEANS OF CERTAIN METHOOS OF SECOND ORDER/ 0 0 0 4 THE MATHEMATICAL EXPECTATION OF THE NORM OF THE ERROR VECTOR/ 0 4 2 5

ON THE RANKS OF BASES OF VECTOR SPACES OF MATRICES/ 0 0 5 6 ON PATRICIAL NCRMS SUBORDINATE TO VECTORIAL NORMS/ 0 1 0 6

LATENT ROOTS ANO LATENT VECTORS/ 0 2 0 4 ON ESTIMATING ERROR I N APPROXIMATE PROPER VALUES ANO VECTORS/ 0 2 0 5

S OF A SYMMETRIC MATRIX AND THE COMPONENTS OF ITS PROPER VECTORS/ MATRICES INVERSE TO VANOERMONOE MATRICES. APPLI 0 4 7 4 ON THE F I L L - I N WHEN SPARSE VECTORS ARE ORTHCNORHALIZEO/ 0 0 8 2

AN ITERATIVE METHOD FOR FINOING THE PROPER VALUES ANO VECTORS BASED ON THE THEORY OF P E R T U R B A T I O N / 0 0 7 9 A CHOICE OF STARTING VECTORS IN RELAXATION METHODS/ 0 4 6 0

ON THE CHARACTERISTIC VECTORS OF A MATRIX/ 0 4 1 6 SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS ANO F INDING PROPER VFCTORS OF A MATRIX/ ON A METHOD FOR SOLVING 0 2 8 7 ON POWER METHOOS OF DETERMINING PROPER VALUES AftO "ROPER VECTORS OF P O L Y N C H I A L MATRICES/ 0 3 8 1 RANSFORMATIONS TO THE DETERMINATION OF PROPER VALUES AND VECTORS OF POLYNCMIAL MATRICES/ APPLICATION OF ORTHOGONA 0 3 8 0

A FULLY STABLE rtATIONAL VERSION OF THE OR ALGORITHM FOR TRIOIAGONAL MATRICES/ 0 4 7 ? OF JACOBI FORMS I N CONNECTION WITH THE THEORY CF SUDDEN VIBRATIONS OF A BAR/ ON THE SPECTRA 030C

OSCILLATION MATRICES ANO KERNELS ANO SMALL VIBRATIONS OF MECHANICAL SYSTEMS/ 0 1 6 5 REMARKS ON A PAPER BY M. WETTER'. i*4G ON POSIT IVE OPERATORS/ 0 2 0 0

IONS/ ON THE MEAK COLUNN-SUM CRITERION FOR NONLINEAR SYSTEMS OF EOUAT 0 4 0 0 WEAK SPECTRAL INVERSES/ 0 5 4 6 WEAK SPECTRAL INVERSES WHICH ARE PARTIAL I SOMETRIES/ 0 4 3 9 WEIGHTED PSEUOOINVERSES WITH SINGULAR WEIGHTS/ 0545

WEIGHTED PSEUOOINVERSES WITH SINGULAR WEIGHTS/ 0 5 4 5 A • EI HOD FOR SOLVING C E R l s i K WELL-POSED NONLINEAR SYSTEMS/ 0 3 3 0

REMARKS OA A PAPER BY W. VETTERLING ON POSIT IVE OPERATORS/ 0 2 0 0 OF SIMVLTANEOUS NONLINEAR EQUATION?/ WIDELY CONVERGENT METHOD FOR F INOING MULTIPLE SOLUTIONS 0 0 5 4

ON THE FPSILON-ALGCRITHM OF KYNN/ 0 1 7 4 T ION OF SYSTEMS OF EQUATIONS BY THE F.^SILCN ALGCRITHM OF WYNN/ ON THE SOLU 0 1 7 5

SPECTRUM OF X SATISFYING 0 LESS THAN OR EQUAL X ( P I LESS THAN OR EQUAL X / 0176 ITERATIVE PROCESSES FCR SOLVING THE MATRIX EQUATION X ( 2 I - A • 0 / 0 1 2 4

NUMERICAL SOLUTICN OF THE MATRIX E C A T I O N AX • X A I T I • 6 * Of 0 4 9 9 ON CONDITIONS ON X SUCH THAT XAX IS H E R P I T I A N / 0 0 2 4

THE RESULTANT AM) THE MATRIX EQUATION AX • XB/ 0 2 0 8 RESULTANTS ANO T f E SCLUTICh OF AX - XB 0 C / 0 2 0 9

THE EQUATIONS AX - Y6 t C ANO AX - X* * C I N MATRICES/ 0 4 7 0 PRINCIPAL SUBMATR1CES. X I I I . PRINCIPAL SECTIONS OF A PAIR OF FORMS/ 052"•

A NOTE OH THE MATRIX EQUATtON XX* f 0 / 0 0 3 7 A CRITERION FCR SOLVABILITY OF THE EQUATION X2 - A * 0 / 0 2 7 3

THE EQUATIONS AX - VB # C ANO AX - XB f C I N MATRICES/ 0 4 7 0 ON OF THE NEWTON-RAPHSQN METHOO FOR COMPUTING A MULTIPLE ZERO/ REMARK ON THE EXTENSI 0 1 9 4

A NCTE ON CONSISTENT ORCERING AND ZERO CIRCULATION/ 0 4 6 9 INTEGER ARITHMETIC ALGORITHMS FOR POLYNOMIAL REAL ZERO DETERMINATION/ 021?

CIRCULAR ARITHMETIC AND THE DETERMINATION OF POLYNOMIAL ZEROS/ 0 1 6 7 CIRCULAR ARITHMETIC ANO THE DETERMINATION OF PCLVNOHIAL ZEROS/ 0 2 1 3

INCLUSION OF ZEROS BY MEANS OF AN INTSftVAL ARITHMETIC / 0 2 9 8 ON COMPUTING THE ZEROS OF A HOLONORPHIC FUNCTION/ 0 3 4 0

ON A METHOD FOR LOCALIZING THE ZERCS OF A POLYNOMIAL/ 0 1 1 5 COMPUTING REAL Z.ROS OF A POLYNOMIAL/ 0 1 6 2

A POSTERIORI ERROR BOUNOS FOR THE ZEROS OF A POLYNOMIAL/ 0 1 9 7 A THEOREM ON RATIONAL ZEROS OF A POLYNOMIAL/ 0 3 2 9

ON » CUBICALLY CONVERGENT PROCESS FOR OETEfcPlNING THE ZEROS OF CERTAIN FU»"T IONS/ U561 ON THE LOCALIZATION OF ZEROS OF LAURENT SE fS BY USE OF PARAMETERS/ 0 0 8 0

NATRICIAL NORMS ANO THE ZERCS OF POLYNOMIALS/ 0 1 0 5 A PRIORI ERROR BOUNOS FOR SUCCESSIVELY SEPARATED ZEROS l>« POLYNOMIALS/ 0 1 9 6

ERROR BOUNDS FOR APPROXIMATIONS TO ZEROS OF POLYNOMIALi / 0406 ON THE ZEROS OF POLYNOMIALS OF COMPO'."TION/ 0 4 9 4

ON DETERMINING REAL ZEROS OF REAL FUNCTIONS OF ONE VARIABLE/ 0 4 3 1 S CONCERNING NEWTON'S AND EULER'S METHODS FOR EVALUATING ZEROS, TOGETHER WITH SOME MORE GENERAL RESULTS. 1 1 . / SON 0 5 6 8

A NOTE ON ThE MATRIX EQUATION XX* f 0 / 0 0 3 7

101

NUMERICAL SCIUTION OF AITIS • SA • Q • A CRITERION FCR SOLVABILITY OF THE EQUATION X2 - A •

HERICAL SOLUTION Of THE MATRIX EOUATION AX • XAITI • 8 • IVf PROCESSES FOR SOLVING THE NATRIX EOUATION X l ? l - A C

EQUATIONS. APPLICATIONS TC THE STUDY OF ROOTS OF PIXI • SPECTRUM OF X SATISFYING

AOAPiIVE ALGORITHM FOR MINIMIZING A ONINOOAL FUNCTION OF GENCE OF A CLASS OF DOUBLE-RANK MINIMISATION ALGORITHMS.

ALGORITHM OK MULTIPLICATION OF 2 X

ON MULT I PLICATION OF GENCE OF A CtASS OF DOUBLE-RANK MINIMISATION ALGORITHMS.

0 / 0 2 0 ? 0 / 0?T* 0 / MU 0 4 9 9 0 / ITERAT 0 1 2 * 0 AND TO THE DETERMINATION OF T»f PROPER VALUES OF A NAT 0 4 * 6 0 LESS TH'*! OR EQUAL XIPI LESS THAN 0 * f>UAL X / 01T* 1 VARIABLE/ AN tlM 1 . GENERAL CONSIDERATION*/ THE COMTEK 0 0 6 * I S . INVERSION OF A 8L0CKHISE TRI01AGONAL MATRIX/ 0 5 * 3 2 MATRICES/ 0 5 5 0 2 X 2 MATRICES/ 0 9 9 4 2 . THE NEW AIGORITKM/ THE C3NVER 0 0 4 *

END RHIC-INDEX

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