ANSWER :
clear all
close all
%function for finding root
f=@(x) exp(x)+sin(x)-4;
a=1; b=2; tol=10^-10;
fprintf('function for the algorithm f(x)=')
disp(f)
fprintf('\t e_i \t e_i+1/e_i\t e_i+1/e_i^2\n')
i=0;fc=100; c=10;
while abs(fc)>tol
i=i+1;
fc=double(f(c));
err1=abs(fc);
c=double((b*f(a)-a*f(b))/(f(a)-f(b)));
if f(a)*f(c)<=0
b=c;
else
a=c;
end
err2=abs(f(c));
fprintf('\t%2.2e \t%2.2e
\t%2.2e\n',err1,err2/err1,err2/err1^2)
end
OUT PUT :
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