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] 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
[42] Modified SOR-type iterative method for Z-matrices
Huang, Ting-Zhu
Cheng, Guang-Hui
Cheng, Xiao-Yu
APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (01) : 258 - 268
[43] 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
[44] Improved Gauss-Seidel projecetion method for micromagnetics simulation
García-Cervera, CJ
E, W
IEEE TRANSACTIONS ON MAGNETICS, 2003, 39 (03) : 1766 - 1770
[45] 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
[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] ASYNCHRONOUS MULTISPLITTING NONLINEAR GAUSS-SEIDEL TYPE METHOD
BAI ZHONGZHI AND WANG DEREN
AppliedMathematics:AJournalofChineseUniversities(SeriesB), 1994, (02) : 189 - 194
[48] 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
[49] ADAPTIVE GAUSS-SEIDEL METHOD FOR LINEAR-SYSTEMS
USUI, M
NIKI, H
KOHNO, T
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1994, 51 (1-2) : 119 - 125
[50] A Parallel Jacobi-Embedded Gauss-Seidel Method
Ahmadi, Afshin
Manganiello, Felice
Khademi, Amin
Smith, Melissa C.
IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS, 2021, 32 (06) : 1452 - 1464

← 1 2 3 4 5 →