The Gauss-Seidel method is an iterative technique for solving a system of linear equations. This particular implementation leverages the concept of sparse matrices to efficiently manage large datasets ...

Calculates the voltages at the nodes of the grid using the Gauss-Seidel method, applying Kirchoff and Ohm's laws. The code solves the problem for the 3-mesh circuit from the image. Exercise from ...

Abstract: The large scale sparse linear systems often appear in a wide variety of areas of mathematics, physical, fluid dynamics and economics science. So, solving efficiently these systems aroused ...

Abstract: In the field of operator equations, solving the inner inverses is essential. In this paper, based on the Lagrangian function a class of block Gauss-Seidel methods is proposed, which contains ...

ABSTRACT: In this paper, we present parallel implementation of the Gauss-Seidel (GS) iterative algorithm for the solution of linear systems of equations on a k-ary n-cube parallel machine using Open ...

A linearly implicit difference scheme for the space fractional coupled nonlinear Schrödinger (CNLS) equation is proposed. The resulting coefficient matrix of the discretized linear system consists of ...