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

被引：51
|
作者：
Toutounian, F. [1 ]
Karimi, S. [1 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Math, Mashhad, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 178卷 / 02期
关键词：
LSQR method; bidiagonalization; global methods; iterative methods; multiple right-hand sides;
D O I：
10.1016/j.amc.2005.11.065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new method for solving general linear systems with several right-hand sides. This method is based on global least squares method and reduces the original matrix to the lower bidiagonal form. We derive a simple recurrence formula for generating the sequence of approximate solutions {X-K}. Some theoretical properties of the new method are discussed and we also show that how this method can be implemented for the sylvester equation. Finally, some numerical experiments on test matrices are presented to show the efficiency of the new method. (c) 2005 Elsevier Inc. All rights reserved.
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页码：452 / 460
页数：9
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