plot_surface ( Y, X, U_exact, cmap = cm. Numerical analysis methods implemented in Python.
It starts with an initial guess of the solution and then repeatedly. How to code a general Gauss-seidel method. Below is the same implementation in MATLAB which works. This method only applies to positive-definite and/or symmetric systems. For some reason it is not converging even after 50000 iterations to the solution even when the matrix A is strict diagonal dominant. GAUSSSEIDEL: linalg-python: Solve a linear system of equations using the iterative Gauss-Seidel method. In this section, we will introduce a different class of methods, the iterative methods, or indirect methods. Above is my Gauss-Seidel method in Python. # enable 3D plotting import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D from matplotlib import cm from import spsolve u_exact = spsolve ( A, f ) print ( 'norm of the residual = grid points'. Iterative Methods - Gauss-Seidel Method The above methods we introduced are all direct methods, in which we compute the solution with a finite number of operations.