Source Code Problem 1 Write separate MATLAB functions for Ne

Source Code Problem 1: Write separate MATLAB functions for Newton\'s, the Secant method, the modified secant method. The functions should be written so that they can be called in MATLAB by typing 1. [X, Numlters]=Newton(@f, @df, x0, TOL, Max Iters) 2. [X, Numlters-Secant(af, x0, x1, TOL, Maxlters) 3. [(X, Nunn lters)-ModifiedSecant(@f, , x0,TOL, Maxlters)

Solution

1.[X,Numilters]=(newton@f,@df,x0,tol,maxlter)

2.[X.Numlters]=secant(@f,x0,x1,tol,maxlters):

function [x, xi, iter] = secant( f, x0, x1, nmax, tol )

x = root of f

xi = vector containing each approximation to x at each iteration

iter = number of iterations used to find root

  f = function handle for function f

x0, x1 = initial values for the secant method

nmax = max. number of iterational

tol = degree of accuracy (\'within error of tol\')

xi(0) = x0;

xi(1) = x1;

k = 1;

    while tol < error
        
        while (k-1) < nmax
        
            xi(k+1) = xi(k) - (xi(k) - xi(k-1))/(f(xi(k)) - f(xi(k-1)));
error = ;
            k = k+1;
            
        end
        
    end
    
    x = xi(k)
    xi
    iter = k
    
end