A Generalization of the 2D-DSPM for Solving Linear System of Equations

TL;DR

This paper generalizes and improves the 2D-DSPM iterative method for solving linear systems, analyzing its convergence and demonstrating its efficiency through numerical experiments.

Contribution

It introduces a generalized version of the 2D-DSPM method and discusses its convergence properties, enhancing the original approach.

Findings

The generalized method converges under certain conditions.

Numerical experiments show improved efficiency over the original 2D-DSPM.

The method is effective for solving linear systems.

Abstract

In [7], a new iterative method for solving linear system of equations was presented which can be considered as a modification of the Gauss-Seidel method. Then in [4] a different approach, say 2D-DSPM, and more effective one was introduced. In this paper, we improve this method and give a generalization of it. Convergence properties of this kind of generalization are also discussed. We finally give some numerical experiments to show the efficiency of the method and compare with 2D-DSPM.