Global LSMR(Gl-LSMR) method for solving general linear systems with several right-hand sides

被引：3

作者：

Mojarrab, M. ^{[1
]}

Toutounian, F. ^{[2
,3
]}

机构：

[1] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran

[2] Ferdowsi Univ Mashhad, Ctr Excellence Modeling & Control Syst, Mashhad, Iran

[3] Ferdowsi Univ Mashhad, Sch Math Sci, Dept Appl Math, Mashhad, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 321卷

关键词：

LSMR method; Bidiagonalization; Global methods; Iterative methods; Multiple right-hand sides; CONJUGATE-GRADIENT ALGORITHM; LEAST-SQUARES METHOD; BLOCK GMRES METHOD; MATRIX EQUATIONS; NONSYMMETRIC SYSTEMS; PROJECTION METHODS; LANCZOS METHOD; VERSION; LSMR; FOM;

D O I：

10.1016/j.cam.2017.02.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global solvers are an attractive class of iterative solvers for solving linear systems with multiple right-hand sides. In this paper, first, a new global method for solving general linear systems with several right-hand sides is presented. This method is the global version of the LSMR algorithm presented by Fong and Saunders (2011). Then, some theoretical properties of the new method are discussed. Finally, numerical experiments from real applications are used to confirm the effectiveness of the proposed method. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：78 / 89

页数：12

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