Non-stationary Parallel Multisplitting Two-Stage Iterative Methods with Self-Adaptive Weighting Schemes

被引：1
|
作者：
Meng, GuoYan [1 ]
Wang, ChuanLong [2 ]
Yan, XiHong [2 ]
Zhao, QingShan [1 ]
机构：
[1] Xinzhou Teacher Univ, Dept Comp Sci, Xinzhou 034000, Shanxi, Peoples R China
[2] Taiyuan Normal Univ, Dept Math, Taiyuan 030012, Shanxi, Peoples R China
来源：
EAI ENDORSED TRANSACTIONS ON SCALABLE INFORMATION SYSTEMS | 2014年 / 1卷 / 02期
关键词：
Self-adaptive weighting matrices; non-stationary; multisplitting; two-stage; linear systems;
D O I：
10.4108/sis.1.2.e5
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study the non-stationary parallel multisplitting two-stage iterative methods with selfadaptive weighting matrices for solving a linear system whose coefficient matrix is symmetric positive definite. Two choices of Self-adaptive weighting matrices are given, especially, the nonnegativity is eliminated. Moreover, we prove the convergence of the non-stationary parallel multisplitting two-stage iterative methods with self-adaptive weighting matrices. Finally, the numerical comparisons of several self-adaptive nonstationary parallel multisplitting two-stage iterative methods are shown.
引用
收藏
页码：1 / 8
页数：8
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