What is the concept of Gauss-Seidel method in Numerical Analysis?

Numerical Analysis Questions



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What is the concept of Gauss-Seidel method in Numerical Analysis?

The Gauss-Seidel method is an iterative numerical method used to solve a system of linear equations. It is an improvement over the Jacobi method as it updates the solution values as soon as they are computed, rather than waiting for the entire iteration to complete. In each iteration, the method uses the most up-to-date values of the solution to compute the next iteration. This process continues until the desired level of accuracy is achieved. The Gauss-Seidel method is particularly useful for solving large systems of equations efficiently.