Convergence of Nonstationary Iterative Methods for Solving Singular Linear Equations with Index One

被引：2
|
作者：
Ma, Haifeng [1 ]
Xiao, Cheng [2 ]
机构：
[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
[2] Shanghai Technolgy Co Ltd, Dept Res, Shanghai, Peoples R China
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2017年 / 38卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Group inverse; index one; multisplitting iterative scheme; P-regular splitting; quotient convergence; singular linear equations; QUOTIENT CONVERGENCE; SYSTEMS; GMRES; MATRICES; INVERSE;
D O I：
10.1080/01630563.2017.1347571
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the nonstationary iterative scheme for solving consistent singular linear system with index one. We utilize the group inverse to present a sufficient condition for the convergence of the nonstationary iterative method. Our result extends the known results of the stationary iterative scheme. Finally, we present a sufficient condition for the multisplitting algorithm and provide numerical examples to illustrate the advantages of nonstationary method.
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页码：1507 / 1525
页数：19
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