Improving the modified Gauss-Seidel method for Z-matrices

被引：79
|
作者：
Kohno, T [1 ]
Kotakemori, H [1 ]
Niki, H [1 ]
Usui, M [1 ]
机构：
[1] OKAYAMA UNIV SCI,DEPT APPL SCI,OKAYAMA 700,JAPAN
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1997年 / 267卷
关键词：
D O I：
10.1016/S0024-3795(97)00063-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1991 A. D. Gunawardena et al. reported that the convergence rate of the Gauss-Seidel method with a preconditioning matrix I + S is superior to that of the basic iterative method. In this paper, we use the preconditioning matrix I + S(cr). If a coefficient matrix A is an irreducibly diagonally dominant Z-matrix, then [I + S(alpha)]A is also a strictly diagonally dominant Z-matrix. It is shown that the proposed method is also superior to other iterative methods. (C) 1997 Elsevier Science Inc.
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页码：113 / 123
页数：11
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