Convergence of block two-stage iterative methods for symmetric positive definite systems

被引：5

作者：

Cao, ZH ^{[1
]}

机构：

[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

[2] Fudan Univ, Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China

来源：

NUMERISCHE MATHEMATIK | 2001年 / 90卷 / 01期

关键词：

Mathematics Subject Classification (1991): 65F10, 65F15;

D O I：

10.1007/s002110100299

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the convergence of two-stage iterative methods for solving symmetric positive definite (spd) systems. The main tool we used to derive the iterative methods and to analyze their convergence is the diagonally compensated reduction (cf. [1]).

引用

页码：47 / 63

页数：17

共 50 条

[41] Convergence on successive over-relaxed iterative methods for non-Hermitian positive definite linear systems
Zhang, Cheng-yi
Miao, Guangyan
Zhu, Yan
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[42] Convergence on successive over-relaxed iterative methods for non-Hermitian positive definite linear systems
Cheng-yi Zhang
Guangyan Miao
Yan Zhu
[J]. Journal of Inequalities and Applications, 2016
[43] The monotone convergence of the two-stage iterative method for solving large sparse systems of linear equations
Bai, ZZ
Wang, DR
[J]. APPLIED MATHEMATICS LETTERS, 1997, 10 (01) : 113 - 117
[44] CONVERGENCE OF ALGEBRAIC MULTIGRID METHODS FOR SYMMETRIC AND POSITIVE DEFINITE MATRICES WITH WEAK DIAGONAL DOMINANCE
黄维章
[J]. Science Bulletin, 1991, (15) : 1241 - 1242
[45] An analysis of convergence for two-stage waveform relaxation methods
Garrappa, R
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 169 (02) : 377 - 392
[46] Convergence of multisplitting method for a symmetric positive definite matrix
Yun J.H.
Oh S.
Kim E.H.
[J]. Journal of Applied Mathematics and Computing, 2005, 18 (1-2) : 59 - 72
[47] Convergence of waveform relaxation methods for Hermitian positive definite linear systems
Zhou, Sheng
Huang, Ting-Zhu
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) : 943 - 952
[48] Two lopsided TSCSP (LTSCSP) iteration methods for solution of complex symmetric positive definite linear systems
Dehghan, Mehdi
Shirilord, Akbar
[J]. ENGINEERING WITH COMPUTERS, 2022, 38 (02) : 1867 - 1881
[49] Two lopsided TSCSP (LTSCSP) iteration methods for solution of complex symmetric positive definite linear systems
Mehdi Dehghan
Akbar Shirilord
[J]. Engineering with Computers, 2022, 38 : 1867 - 1881
[50] Convergence of TTS Iterative Method for Non-Hermitian Positive Definite Linear Systems
Zhang, Cheng-Yi
Yang, Yu-Qian
Sun, Qiang
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014

← 1 2 3 4 5 →