ASYNCHRONOUS RELAXED ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS OF EQUATIONS

被引：0

作者：

谷同祥

机构：

来源：

Applied Mathematics and Mechanics(English Edition) | 1997年 / 08期

关键词：

asynchronous iterative method; relaxed method; linear systems of equations;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

In this paper, the asynchronous versions of classical iterative methods for solvinglinear systems of equations are considered. Sufficient conditions for convergence ofasynchronous relaxed processes are given for H-matrix by which not only therequirements of [3] on coefficient matrix are lowered, but also a larger region ofconvergence than that in [3] is obtained.

引用

页码：801 / 806

页数：6

共 50 条

[21] Control Design for Iterative Methods in Solving Linear Algebraic Equations
Meng, Deyuan
Wu, Yuxin
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (10) : 5039 - 5054
[22] ASYNCHRONOUS BLOCK-ITERATIVE METHODS FOR ALMOST LINEAR-EQUATIONS
BHAYA, A
KASZKUREWICZ, E
MOTA, F
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 154 : 487 - 508
[23] ITERATIVE METHODS OF SOLVING SINGULARLY PERTURBED LINEAR INTEGRODIFFERENTIAL EQUATIONS
URTENOV, MK
TSALYUK, ZB
[J]. DIFFERENTIAL EQUATIONS, 1984, 20 (11) : 1364 - 1368
[24] Condition for relaxed Monte Carlo method of solving systems of linear equations
Lai, Guoming
Lin, Xiaola
[J]. JOURNAL OF SUPERCOMPUTING, 2011, 57 (03): : 256 - 264
[25] Two Iterative Methods for Solving Linear Interval Systems
Siahlooei, Esmaeil
Fazeli, Seved Abolfazl Shahzadeh
[J]. APPLIED COMPUTATIONAL INTELLIGENCE AND SOFT COMPUTING, 2018, 2018
[26] Condition for relaxed Monte Carlo method of solving systems of linear equations
Guoming Lai
Xiaola Lin
[J]. The Journal of Supercomputing, 2011, 57 : 256 - 264
[27] On the convergence of iterative methods for solving singular linear systems
Cao, ZH
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 145 (01) : 1 - 9
[28] A comparison of iterative methods for solving nonsymmetric linear systems
De Pillis, LG
[J]. ACTA APPLICANDAE MATHEMATICAE, 1998, 51 (02) : 141 - 159
[29] A Comparison of Iterative Methods for Solving Nonsymmetric Linear Systems
L. G. de Pillis
[J]. Acta Applicandae Mathematica, 1998, 51 : 141 - 159
[30] On Relaxed Greedy Randomized Iterative Methods for the Solution of Factorized Linear Systems
Liu, Shi-Min
Liu, Yong
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2022, : 953 - 979

← 1 2 3 4 5 →