Question

Operators and Symbols Style Cipboard CE 2010 Spring 2010 Secant Root Finding Method Secant , N-0 for i e 1..mar Error Function values are identical at initial guesses" ll l brealk else if N mar lHas reached maximum iteration steps allowed" l break life,se, laugment (N,) break max 5 ε-:0.000001 f(x):-20-m-50 . z + 25 . sin (r) Secant (f,a, ,, man)-P1 2] Options Replace with

we are having trouble getting the secant to become defined as well as the a becoming defined. Any help is greatly appreciated!

Answer 1

%Matlab code for Secant method clear all close all %Function for which root have to find f-e(x) 20 pi-50x+25 sin(x)i fprintf 'For the function f(x)) disp(E) %finding root using Secant Method a-[1 2]: e=0.000001; %error convergence max-5; tinitial guess Maximum iterations %Root using Secant method [root]-secant method (f, a, e, max); fprint f ("AtThe root for this function is %f\n.root) Matlab function for Secant Method function [root ]=secantmethod(f, a, max ) e, - a= vector of two initial guess %e= error tol!erence %max maximum number of iterations %x0 and x1 values for two initial guess x0=a ( 1 ) ; x1=a(2); %checking wheather function values for two initial guesses are same if f (x0)--f(x1) msg-Function values are identical at initial guesses. error (ms g) end loop for Secant iterations k-0i for i 1:max k=k+1 ; x0=x1; if (abs (xx-x0)<-e) end break end root-xx %If maximum iteration reached if i--max fprintf ( Has reached maximum iteration steps allowed.n') end end

용옹옹융융옹옹옹옹옹옹옹옹옹옹옹옹옹융융융옹융융용융융융용융융융88응용888888号%88응용88응용88응용88 For the function f(x)= @(x)20+pi-50*x+25 *sin(x) Has reached maximum iteration steps allowed The root for this function is 10. 738092 Published with MATLAB® R2018a

%Matlab code for Secant method
clear all
close all
%Function for which root have to find
f=@(x) 20*pi-50*x+25*sin(x);
fprintf('For the function f(x)= ')
disp(f)

%finding root using Secant Method
a=[1 2];    %initial guess
e=0.000001; %error convergence
max=5;      %Maximum iterations

%Root using Secant method
[root]=secant_method(f, a, e, max);

fprintf('\tThe root for this function is %f\n',root)

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Matlab function for Secant Method
function [root]=secant_method(f, a, e, max)

    %a= vector of two initial guess
    %e= error tollerence
    %max= maximum number of iterations

    %x0 and x1 values for two initial guess
    x0=a(1); x1=a(2);
    %checking wheather function values for two initial guesses are same
    if f(x0)==f(x1)
        msg = 'Function values are identical at initial guesses.';
        error(msg);
    end
    %loop for Secant iterations
    k=0;
    for i=1:max
        k=k+1;
        xx=double(x1-(f(x1)*abs((x1-x0)/(f(x1)-f(x0)))));
        x0=x1;
        x1=xx;
        if(abs(xx-x0)<=e)
            break
        end

    end
    root=xx;
    %If maximum iteration reached
    if i==max
        fprintf('Has reached maximum iteration steps allowed.\n')
    end
end

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%