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% Jacobi method

n=input('Enter number of equations, n:  ');
A = zeros(n,n+1);
x1 = zeros(n);
x2 = zeros(n);
tol = input('Enter the tolerance, tol: ');
m = input('Enter maximum number of iterations, m:  ');

A=[4 2 3 8; 3 -5 2 -14; -2 3 8 27];
x1=[0 0 0];

k = 1;
while k <= m
err = 0;
for i = 1 : n
s = 0;
for j = 1 : n
s = s-A(i,j)*x1(j);
end
s = (s+A(i,n+1))/A(i,i);
if abs(s) > err
err = abs(s);
end
x2(i) = x1(i)+s;
end

if err <= tol
break;
else
k = k+1;
for i = 1 : n
x1(i) = x2(i);
end
end
end

fprintf('Solution vector after %d iterations is :\n', k-1);
for i = 1 : n
fprintf(' %11.8f \n', x2(i));

end

Output:

>> jacobimethod
Enter number of equations, n:  3
Enter the tolerance, tol: 0.001
Enter maximum number of iterations, m:  100
Solution vector after 41 iterations is :
-0.99919498
2.99974076
2.00028882
>>

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