It then iterates max_iter times, updating each component of x using the most recent values of the other components. The function first initializes the solution vector x to be the initial guess x0. The function gauss_seidel takes four arguments: the matrix A, the vector b, the initial guess x0, and optional arguments tol and max_iter for the tolerance and maximum number of iterations, respectively. Here is the Python code for the Gauss-Seidel method: pythonĭef gauss_seidel(A, b, x0, tol=1e-10, max_iter=100): In this method, the solution is updated in each iteration using the most recent values of the other variables. It is a modification of the Jacobi method and is more efficient for large systems of equations. The Gauss-Seidel method is an iterative method used to solve a system of linear equations. Programming Language: Python, Popularity : 5/10 Answered on: Wednesday 07 June, 2023 / Duration: 13 min read