The program assumes initial or approximate solution as y=0 and z=0 and new value of x which is used to calculate new values of y and z using the following expressions:.The number of iterations required depends upon the degree of accuracy. Then, the program asks for allowed error and maximum number of iteration to which the calculations are to be done.
When the program is executed, first of all it asks for the value of elements of the augmented matrix row wise. The program for Gauss-Seidel method in C works by following the steps listed below: In this program, a certain approximate value of solution is assumed and further calculations are done based on the result of assumed approximate solution. This C program for Gauss-Seidel method has been designed for the solution of linear simultaneous algebraic equations based on the principle of iteration. But, the program in high level languages run fast and effectively. The manual computation iterative method is quite lengthy. Here is source code for Gauss-Seidel in C with working procedure and sample output. On the other hand, in case of iterative methods such as Gauss Jacobi and Gauss-Seidel iteration method, we start with an approximate solution of equation and iterate it till we don’t get the result of desired accuracy. So, direct method of solution takes longer time to get the solution. for the solution of simultaneous algebraic equations yield the solution after a certain amount of fixed computation. G = 1e-6 #Accuracy is 0.The direct methods such as Cramer’s rule, matrix inversion method, Gauss Elimination method, etc. When the module is imported, the code blocks will not be run.Ī = np. 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 Python code for Gauss-Seidel iteration 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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