Question
MATLAB CODE: Write a function m-file that implements the secant method. Your function should accept the following inputs (in order): A function defining the roots
MATLAB CODE:
Write a function m-file that implements the secant method. Your function should accept the following inputs (in order):
- A function defining the roots problem
- A vector of two initial guesses (first element is the first guess, second element is second guess)
- A stopping criterion ( es ) for the numerical solution with a default value of 1e-5
- A maximum iteration count for the numerical solution with a default value of 30
- An arbitrary number of parameter values associated with the roots problem
Your function should output the following four scalar outputs (in order):
- The root estimate
- The residual in the numerical solution
- The approximate relative error in the numerical solution
- 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) - ((f(xr_loop(iter-1))*(xr_loop(iter-2))) - xr_loop(iter-1)/(f(xr_loop(iter-2)) - f(xr_loop(iter)))); 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 = xroot1(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
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