the Jacobi Iterative method(urgent)

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Mahdi Almahuzi 2020-4-11

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评论： Rik 2020-4-12

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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