Wanted output: - As you can see x0 contains the x1 of of the previous while iteration begin while with k = 0 Print('Iter.=%d duration=%f err=%e' % (k,duration,err)) Print('Not converges in %d iterations' % Kmax)

This is the code, you can see the wanted and unwanted output below: def GaussSeidel(A,b):

The result seems to be correct, but when I comment the vector x1 at the beginning of the while, I obtain an unwanted result:įor example, before the assignment x0=x1, when k=1, x0 is equal to x1 instead x0 when k=1, would be equal to x1 when k=0.Ĭonsequently, the norm(x1-x0) is always 0, after the first while. However, the manual computation of Gauss Seidel/Jacobi method can also be lengthy.In the following code for the Gauss Seidel method, I enter one given matrix A. This method is fast and easy compared to the direct methods such as Gauss Jordan method, Gauss Elimination method, Cramer’s rule, etc. Programs in any high level programming language can be written with the help of these Gauss-Seidel and Gauss Jacobi method algorithm and flowchart to solve linear simultaneous equations. If absolute value of ((x – x0) / x) > er, then

Declare the variables and read the order of the matrix n.

In Gauss Seidel method, the most recent values or fresher values are used in successive iterations. Guass-Seidel method is very similar to Gauss Jacobi method, and here are simple algorithm and flowchart for Gauss-Seidel and Gauss Jacobi method.

In this method, we should see that the variable absolute value coefficient is greater than or equal to sum of the absolute values of the coefficient of the remaining variables. To get better values, the approximations in previous iterations are used. In Gauss Jacobi method, we assume x1, x2 and x3 as the three initial guesses. Whether it’s a program, algorithm, or flowchart, we start with a guess solution of the given system of linear simultaneous equations, and iterate the equations till the desired degree of accuracy is reached. Both are based on fixed point iteration method. Gauss-Seidel and Gauss Jacobi method are iterative methods used to find the solution of a system of linear simultaneous equations.

Gauss seidel python