2007•jOURNAL OF southwest University for NationalitiesRequires access

A preconditioned Gauss-Seidel iterative method for H matrix

Weidong Liu

Abstract

The Gauss-Seidel iterative method for solving linear systems of the form Ax = bis discussed. A.Hadjidimos has proposed a preconditioner I + Cα in 2003. In this paper, if the coefficient matrix A is a H matrix, then ( I + Cα)A is also a H matrix. In addition, two numerical examples are given for illustrating the results.

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Key concepts: Preconditioner, Gauss–Seidel method, Coefficient matrix, Iterative method, Matrix (chemical analysis), Mathematics, Matrix splitting, Gaussian elimination