Using Fixed Point Iteration with an initial value of 1, find a ... | Filo

Fixed-point iteration Method for Solving non-linear equations in MATLAB(mfile)

SOLVED: Consider the following fixed-point iteration algorithm: Xi 1 = g(xi) = Xi 1. From a graphical solution of x = g(x), you know that X = 2.24 is approximately the fixed point of x = g(x).If you start the fixed-point algorithm with Xo = 2.4, how many iterations do you need to perform at least in order to reach an error less than 10^-7?Use your knowledge about the order of convergence of the fixed-point method to conduct your analysis.Answer:

Brouwer's Fixed Point Theorem (Proof)