If absolute value of ((x – x0) / x) > er, then 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.