MATLAB CODE:

Write a function m-file that implements the secant method. Your function should accept the following inputs (in order):

1. A function defining the roots problem
2. A vector of two initial guesses (first element is the first guess, second element is second guess)
3. A stopping criterion ( es ) for the numerical solution with a default value of 1e-5
4. A maximum iteration count for the numerical solution with a default value of 30
5. An arbitrary number of parameter values associated with the roots problem

Your function should output the following four scalar outputs (in order):

1. The root estimate
2. The residual in the numerical solution
3. The approximate relative error in the numerical solution
4. The number of iterations required for convergence

Code:

function [xroot,residual,ea,iter_count] = student_solution(fun,xi,es,max_it,varargin)

if nargin < 2, error('Two few inputs, read help comments'), end

if nargin<3||isempty(es), es=1e-5;end

if nargin<4||isempty(max_it), max_it=30;end

xr_loop = zeros(max_it,1);

xr_loop(1) = xi(1);

xr_loop(2) = xi(2);

counter = 0;

for iter = 3:max_it

xr_loop(iter) = xr_loop(iter-1) - (fun(xr_loop(iter-1),varargin{:})*(xr_loop(iter-2) - xr_loop(iter-1)))/(fun(xr_loop(iter-2),varargin{:}) - fun(xr_loop(iter),varargin{:}));

counter = counter + 1;

if xr_loop(iter) ~= 0

ea = (xr_loop(iter)-xr_loop(iter-1))/xr_loop(iter);

end

if abs(ea) <= es

break

end

end

iter_count = counter

xroot = xr_loop(iter)

residual = roots(fun)- xroot

display(ea)

end

*PLEASE EDIT CURRENT CODE NOT SOMETHING NEW AND PLEASE DON'T ANSWER WITH AN ANSWER THAT IS ALREADY ON CHEGG