Question

2. Write a matlab code for fixed point iteration to find appr Use this method to solve ar323: Hint: f() (3023)l

Use Matlab

Answer 1

%to solve using fixed point iteration

% this mthod is used to solve the equation of type x = G(x)
% we will solve for x = sqrt((x^4 -3)/3 )

% here the which root we get depends on from where we start that is value of x0
x0= -1 ;
max_iteration = 50 ;
tolerance_x = 1e-4;

%%computation using fixed point iteration
x = x0 ;
x_old = x0;
for i = 1: max_iteration
x = sqrt((x^4 -3) /3) ;
err= abs(x- x_old );
if(err< tolerance_x)
break;
end
end

%

>>fixed point iteration > X x = 0.00000 + 0.88954İ >> % lets check this value by putting in the original equation ans -1.2879e-014 >> % which is almost zero so our solution is correct