Write a line search Secant methods for solving f(x)=0 and implement the algorithms for solving the x^2-1=0 in Matlab Programming.
%%Matlab code for Secant method for finding root
clear all
close all
%function for which root have to find
f=@(x) x.^2-1;
%initial guess
x0=0;x1=2;
[root,count]=secant_method(f,x0,x1);
%displaying the function
fprintf('For the function f(x)=\n')
disp(f)
fprintf('The root of the function using Secant method is
%f.\n',root)
%Matlab function for Secant Method
function [root,count]=secant_method(fun,x0,x1)
%f(x1) should be positive
%f(x0) should be negative
k=10; count=0;
while k>10^-6
count=count+1;
xx=double(x1-(fun(x1)*abs((x1-x0)/(fun(x1)-fun(x0)))));
x0=x1;
x1=xx;
k=abs(fun(xx));
end
root=xx;
end
%%%%%%%%%%% End of Code %%%%%%%%%%
Write a line search Secant methods for solving f(x)=0 and implement the algorithms for solving the...
Write a matlab program to implement the secant root finding method in matlab. The function name should be Secant and it should take the equation as input whoes root has to be found and the two initial values of a and b and maximum tolerable error. Consider the following example: Your code should generate the following: >> secantAssg5(@(x)(x^4+x^2+x+10),2,3,0.0001) Xn-1 f(Xn-1) Xn f(Xn) Xn+1 f(Xn+1) 2.0000 32.0000 3.0000 103.0000 1.5493 19.7111 ….. ….. ….. Root is x = 0.13952 ans...
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