I am using MATLAB to solve the problem. I need help to add the estimate error an

Question

I am using MATLAB to solve the problem.

I need help to add the estimate error and absolute error to my code.

My code is:

clear all
clc;
f=@(x) x^3 + x^2 - 3*x - 3;
a=1;b=2;TOL=10^-6;Nmax=100;
old = b;
fa = f(a);
fb = f(b);
disp (' iter (a,b) p')
for i = 1 : Nmax
   p = b - fb * ( b - a ) / ( fb - fa );
   fp = f(p);
  
   if ( nargout == 0 )
   end
   fprintf('%2i (%2.4f,%2.4f) %2.10f ', i, [a, b], p);
   if ( abs(p-old) < TOL )
   if ( nargout == 1 )
   y = p;
   end
   return
   elseif ( fa * fp < 0 )
   b = p;
   fb = fp;
   else
   a = p;
   fa = fp;
   end
   old = p;
end

Thank you

1. Consider the function f(x)-z? + r2-3-3 on the interval (1,2) that has a zero p-Va (c) The Method of False Position (2.2.4) Perform the first five iterations of the method of false position and verify that the absolute error in the third, fourth and fifth approximations satisfies the error estimate Pn-Pn-1.

Explanation / Answer

Here is the modified code that prints the estimate error and absolute error :

clear all
clc;
f=@(x) x^3 + x^2 - 3*x - 3;
a=1;b=2;TOL=10^-6;Nmax=100;
old = b;
fa = f(a);
fb = f(b);
disp (' iter (a,b) p est_error abs_error')
for i = 1 : Nmax
p = b - fb * ( b - a ) / ( fb - fa );
fp = f(p);
error = p - sqrt(3);
if ( nargout == 0 )
end
fprintf('%2i (%2.4f,%2.4f) %2.10f %2.10f %2.10f ', i, [a, b], p, error, abs(error));
if ( abs(p-old) < TOL )
if ( nargout == 1 )
y = p;
end
return
elseif ( fa * fp < 0 )
b = p;
fb = fp;
else
a = p;
fa = fp;
end
old = p;
end

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