2013•Journal of Jiaying UniversityRequires access

Convergence of Preconditioned Gauss-Seidel Iterative Method for H-matrix

Ting Zhou

Abstract

H-matrix is a widely used matrix.In this paper,with a more general splitting,we use the Gauss-Seidel iterative method for the solution of the linear systems when the coefficient matrix ia an H-matrix and we obtain convergence results under a type of preconditioned matrix.Finally,numerical examples are given to illustrate the conclusions.

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Key concepts: Gauss–Seidel method, Mathematics, Coefficient matrix, Matrix (chemical analysis), Iterative method, Convergence (economics), Matrix splitting, Convergent matrix