gauss-seidel interation solver in matlab

main.m
% Define the coefficient matrix
A = ...

% Define the right-hand side vector
b = ...

% Define the initial guess
x0 = ...

% Define the maximum number of iterations
max_iterations = ...

% Define the tolerance value
tolerance = ...

% Get the size of the coefficient matrix
n = size(A, 1);

% Initialize the current solution vector
x = x0;

% Initialize the iteration counter
iteration = 0;

% Iterate until the maximum number of iterations is reached or the tolerance is met
while iteration < max_iterations
    % Increase the iteration counter
    iteration = iteration + 1;

    % Iterate over all rows of the coefficient matrix
    for i = 1:n
        % Calculate the new solution for the current row
        x(i) = (b(i) - A(i,1:i-1)*x(1:i-1) - A(i,i+1:n)*x0(i+1:n)) / A(i,i);
    end

    % Check if the tolerance is met
    if norm(x - x0) < tolerance
        break;
    end

    % Update the solution vector for the next iteration
    x0 = x;
end

% Display the solution vector
disp(x);
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