文献类型：期刊文献

英文题名：On the block GMRES method with deflated restarting

作者：Lin, Yiqin[2];Li, Wenbo[3];Bao, Liang[1];Wu, Qinghua[2]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Hunan Univ Sci & Engn, Dept Math & Computat Sci, Yongzhou 425100, Peoples R China;[3]Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

年份：2011

卷号：218

期号：5

起止页码：2146

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20113614297997);WOS:【SCI-EXPANDED(收录号:WOS:000294300800064)】；

基金：The authors thank the anonymous referees for their helpful suggestions, which greatly improve the paper. This work is supported by the National Natural Science Foundation of Chinaunder grants 10801048 and 10926150, the Natural Science Foundation of Hunan Province under grant 09JJ6014, the Key Program of the Scientific Research Foundation from Education Bureau of Hunan Province under grant 09A033, the Scientific Research Foundation of Education Bureau of Hunan Province for Outstanding Young Scholars in University under grant 10B038, the Science and Technology Planning Project of Hunan Province under grant 2010JT4042, the Young Core Teacher Foundation of Hunan Province in University, and the Fundamental Research Funds for the Central Universities.

语种：英文

外文关键词：Linear system; Iterative method; Block GMRES; Deflation; Accuracy; Multiple right-hand sides

摘要：In this paper, we consider the block-GMRES method with deflated restarting for solving nonsymmetric linear systems with multiple right-hand sides. We modify slightly the restarted block-GMRES method with deflation of eigenvalues proposed by Morgan to obtain a new one. It is shown that the modified method is mathematically equivalent to the Morgan's original method. However, the error analysis shows the modified version minimizes the numerical errors during a restart and therefore is better suited if the linear systems have to be solved with high precision. Numerical experiments report the effectiveness of the modified method. (C) 2011 Elsevier Inc. All rights reserved.