Hoja1EJEMPLO 1 : Interpolacin de una funcin suavexyDatos generados con f(x) = 10^6 sin(x)00.00010173648.17820342020.14330500000.00040642787.61050766044.44360866025.404Tabla de diferenciasxyDeltaDelta^2Delta^3Delta^4Delta^5Delta^60010173648.17766693173648.1776669320342020.143325669168371.965658738-5276.21200819230500000157979.856674331-10392.1089844071-5115.896976215240642787.609686539142787.609686539-15192.2469877919-4800.1380033848315.758972830450766044.443118978123256.833432439-19530.7762541006-4338.5292663086461.6087370761145.849764245860866025.40378443999980.9606654606-23275.8727669782-3745.0965128777593.432753431131.8240163548-14.0257478909Interpolacin mtodo de Newtonx_interp =1410.4-0.120.064-0.04160.029952173648.1776669367348.78626349531247.0530781288-307.2088322166-19.20292346243.9483929379f(x_interp) =241921.895599668173648.17766693240996.963930426242244.017008555241936.808176338241917.605252876241921.553645813x_interp =5710.3-0.1050.0595-0.04016250.02972025-0.0232808625866025.403784439-29994.28819963822443.9666405327222.8332425162-23.8337429597-3.91784272210.3265315081f(x_interp) =838670.567945424866025.403784439836031.1155848838475.082225333838697.915467849838674.08172489838670.163882168838670.490413676EJEMPLO 2 : Polinomio de Lagrange a partir de diferencias divididasTabla de diferencias divididasxy-41245-133-40405-289429210-145133544288133P(X) = 1245-404(x+4) + 94(x+4)(x+1)-14(x+4)(x+1)x +3 (x+4)(x+1) x (x-2) = 3 x^4 -5 x^3 + 6 x^2-14 x + 5EJEMPLO 3 : Pre-procesamiento para una interpolacinxyDeltaDelta^2Delta^3Delta^40.0198.43420.0248.4392-49.9950.0331.7775-16.661733.33330.0423.4492-8.32838.3334-24.99990.0518.4542-4.9953.3333-5.000119.9998xx*yDeltaDelta^2Delta^3Delta^40.010.9843420.021.9686840.9843420.032.9530260.98434200.043.9373680.984342000.054.921710.984342000EJEMPLO 4 : Datos IBEX 3511/28/976932.1012/1/977135.977135.9712/2/977136.5512/3/977092.497092.4912/4/977188.0212/5/977197.027197.0212/8/977210.4312/9/977261.007261.0012/10/977158.5012/11/977003.207003.2012/12/977059.6912/15/977123.607123.6012/16/977250.9212/17/977243.447243.4412/18/977224.2512/19/977045.717045.7112/22/977062.5812/23/977070.157070.15Promedios mensuales (1997)Mes 15309.55Mes 25396.48Mes 35436.10Mes 45493.92Mes 56082.29Mes 66515.87Mes 77010.33Mes 86807.43Mes 96670.15Mes 107055.41Mes 116605.48Mes 126633.58EJEMPLO 5 : INTERPOLACINTabla de diferenciasxyDeltaDelta^2Delta^3Delta^4Delta^5Delta^60.10.0996680.30.2913130.1916450.50.4621170.170804-0.0208410.70.6043680.142251-0.028553-0.0077120.90.7162980.11193-0.030321-0.0017680.0059441.10.8004990.084201-0.0277290.0025920.00436-0.0015841.30.8617230.061224-0.0229770.0047520.00216-0.0022-0.000616Interpolacin mtodo de Newtonx_interp =0.210.5-0.1250.0625-0.03906250.027343750.0996680.09582250.002605125-0.000482-0.0002321875-0.00004331250.0996680.19549050.1980956250.1976136250.19738143750.197338125

Hoja17135.977136.557092.497188.027197.027210.4372617158.57003.27059.697123.67250.927243.447224.257045.717062.587070.15

Hoja25309.55091666675396.47655436.15493.92266666676082.29316666676515.86557010.3336807.42916666676670.14866666677055.4096605.47556633.5775

Hoja3