To clarify the operation of the Gauss-Seidel method, we will go through the first few iterations of the example, again starting from x0 y0 z0 0 as the initial approximation. In the Gauss-Seidel method, we use ‘new’ variable values (subscript n + 1) wherever possible. When the module is imported, the code blocks will not be run.Ī = np. This process to find the solution of the given linear equation is called the Gauss-Seidel Method. variable values (subscript n) appear on the right-hand sides. 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 Introduction to Gauss-Seidel Iterative Method for Solving Linear Equations This Python program implements successive over-relaxation (SOR) method to solve system of linear. Python code for Gauss-Seidel iteration method This variant converges faster than Gauss-Seidel method.Introduction to Gauss-Seidel Iterative Method for Solving Linear Equations. ![]() The principle and python code of the Gauss-Seidel iterative method for linear equations
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