Outline>>Another method of finding roots Beside Bisection method

In the last class what we did ?

f(x) = x2 - 3

Start with an Initial guess xo

The step between successive iterates is sufficiently

small, |x n + 1 - xn| < 0.001

If we have iterated some maximum number of times,

say N, and have not met previous Condition, we halt

and indicate that a solution was not found.

When we have to stop?

Let’s solve the following using MATLAB

Using Newton-Raphson

Method