Develop a MATLAB function findomega that plots the number of iterations of the method required as a function of the relaxation parameter for the system rand For the purpose of graphing, let ω...

Develop a MATLAB function findomega that plots the number of iterations of the

method required as a function of the relaxation parameter

for the system

rand

For the purpose of graphing, let ω range from

to
in steps of
Use tol

⁻¹²
and maxiter
Estimate the optimal value of

by determining the ω corresponding to the minimum number of iterations required to satisfy the error tolerance. Be sure to exclude values of

(iteration failure) in the search for the minimum.

Apply findomega to the matrix

of Problem