the Jacobi Iterative method(urgent)
Show older comments
hello , I have to Write a Matlab code to solve an n x n linear
system using the Jacobi Iterative method
I need this code to solve this problem

I wrote this code but it does not solve it correctly
A = [ 1 -1 2 -1 ;2 -2 3 -3;1 1 1 0;1 -1 4 3];
b = [-8; -20; -2; 4];
% error tolerance
tol =10^-3;
%initial guess:
x0 = zeros(4,1);
xnew=x0;
error=1;
while error>tol
xold=xnew;
for i=1:length(xnew)
off_diag = [1:i-1 i+1:length(xnew)];
xnew(i) = 1/A(i,i)*( b(i)-sum(A(i,off_diag)*xold(off_diag)) );
end
error=norm(xnew-xold)/norm(xnew);
end
x_jacobian=xnew
the answer must be like this

can anybody help me ( the deadline for this homework tomorrow)
6 Comments
Torsten
on 11 Apr 2020
Take A and b from the exercise. The Jacobi method is not guaranteed to converge for arbitrary matrices.
Further, use norm(...,Inf) instead of norm.
Mahdi Almahuzi
on 11 Apr 2020
Torsten
on 11 Apr 2020
Wnat error do you get ?
Mahdi Almahuzi
on 11 Apr 2020
Torsten
on 11 Apr 2020
Did you change A and b to the data of your exercise ?
Answers (0)
Categories
Find more on Mathematics in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!