Electronic Proceedings of the 12^th Asian Technology Conference in Mathematics

Abstract for 12386

A Comparison Theorem of the Improving Gauss-Seidel method for

H-matrix and its Comparison Matrix

Authors: liying Sun, Xingye Xu

Affiliations: Math Dept. of Guangdong Education Institute, Math Dept.

of Guangdong Education Institute

Keywords:

In 1997, Kohno et al. have reported that the improving modified

Gauss-Seidel method, which was referred to as the IMGS method, was

superior to the classical iterative methods. H-matrix is a widely

used matrix. In this paper, we apply this method to H-matrix and its

comparison matrix, with a more general splitting we present the

corresponding convergence results and the comparison results of the

spectral radius. The convergence rates are as well as compared. Some