Gauss Seidel method vs Gauss Jacobi method

Gauss-Seidel method and Gauss-Jacobi method iterative techniques.

The Gauss-Seidel method and Gauss-Jacobi method are iterative techniques used to solve systems of linear equations. In the Gauss-Jacobi method, the values of all variables are updated simultaneously in each iteration using values from the previous iteration, ensuring simplicity but often slower convergence. In contrast, the Gauss-Seidel method updates the variables sequentially, using the latest computed values immediately, which typically leads to faster convergence. Both methods are powerful for solving sparse or large systems but require specific conditions, such as diagonally dominant matrices, to guarantee convergence.