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.

引用

页码：113 / 123

页数：11

共 50 条

[41] THERMAL AWARE FLOORPLANNING USING GAUSS-SEIDEL METHOD
Xu Ning Jiang Zhonghua (School of Computer Sciences and Technology
Journal of Electronics(China), 2008, (06) : 845 - 851
[42] Polyhedral Gauss-Seidel converges
Graeser, C.
Sander, O.
JOURNAL OF NUMERICAL MATHEMATICS, 2014, 22 (03) : 221 - 254
[43] Gauss-Seidel Method for AX plus BXC = D
Long, Jianhui
He, Youmei
Hu, Xiyan
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 210 - 213
[44] Preconditioned Gauss-Seidel iterative method for linear systems
He Honghao
Yuan Dongjin
Hou Yi
Xu Jinqiu
2009 INTERNATIONAL FORUM ON INFORMATION TECHNOLOGY AND APPLICATIONS, VOL 1, PROCEEDINGS, 2009, : 382 - 385
[45] Improved Gauss-Seidel projecetion method for micromagnetics simulation
García-Cervera, CJ
E, W
IEEE TRANSACTIONS ON MAGNETICS, 2003, 39 (03) : 1766 - 1770
[46] Optimal Preconditioning for the Interval Parametric Gauss-Seidel Method
Hladik, Milan
SCIENTIFIC COMPUTING, COMPUTER ARITHMETIC, AND VALIDATED NUMERICS (SCAN 2014), 2016, 9553 : 116 - 125
[47] ON CONVERGENCE OF THE MODIFIED GAUSS-SEIDEL ITERATIVE METHOD FOR H-MATRIX LINEAR SYSTEM
Mia, Shu-Xin
Zheng, Bing
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (03): : 603 - 613
[48] Comparison theorems of preconditioned Gauss-Seidel methods for M-matrices
Yuan, J. Y.
Zontini, D. D.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) : 1947 - 1957
[49] A New Parallel Gauss-Seidel Method for Poisson Equation
金元峰
延边大学学报(自然科学版), 2010, (04) : 301 - 304
[50] ASYNCHRONOUS MULTISPLITTING NONLINEAR GAUSS-SEIDEL TYPE METHOD
BAI ZHONGZHI AND WANG DEREN
Applied Mathematics:A Journal of Chinese Universities, 1994, (02) : 189 - 194

← 1 2 3 4 5 →