In Gauss Elimination method, given system is first transformed to Upper Triangular Matrix by row operations then solution is obtained by Backward Substitution. When the module is imported, the code blocks will not be run.Ī = np. This python program solves systems of linear equation with n unknowns using Gauss Elimination Method. If (m 10000 : #If the iteration exceeds 10000Times, overīreak print ( 'No convergence after 10,000 iterations' ) print (times ) print (x ) if _name_ = '_main_' : #When the module is run directly, the following code blocks will be run.
astype (float ) #Set the precision of x, so that multiple decimals can be displayed in the calculation of x Python code for Gauss-Seidel iteration method import numpy as npĭef G_S (a, b, x, g ) : # a is a column of coefficient matrix b augmentation x initial value of iteration g calculation accuracy import numpy as np def gaussseidel( A, b, x0, epsilon, maxiterations): n len( A) x x0. Introduction to Gauss-Seidel Iterative Method for Solving Linear Equations Python code for Gauss-Seidel iteration method.
It is similar and simpler than Gauss Elimination Method as we have to perform 2 different process in Gauss Elimination Method i.e. The principle and python code of the Gauss-Seidel iterative method for linear equations
