An investigation of restarted GMRES method by using flexible starting vectors

doi:10.4208/nmtma.2010.33.4

科研成果详情

题名	An investigation of restarted GMRES method by using flexible starting vectors
作者	Niu，Qiang 1; Lu，Lin Zhang 2,3
发表日期	2010
发表期刊	Numerical Mathematics
ISSN/eISSN	1004-8979
卷号	3 期号:3 页码:338-351
摘要	We discuss a variant of restarted GMRES method that allows changes of the restarting vector at each cycle of iterations. The merit of the variant is that previously generated information can be utilized to select a new starting vector, such that the occurrence of stagnation be mitigated or the convergence be accelerated. The more appealing utilization of the new method is in conjunction with a harmonic Ritz vector as the starting vector, which is discussed in detail. Numerical experiments are carried out to demonstrate that the proposed procedure can effectively mitigate the occurrence of stagnation due to the presence of small eigenvalues in modulus. © 2010 Global-Science Press.
关键词	Arnoldi process GMRES Harmonic Ritz vector Linear systems of equations
DOI	10.4208/nmtma.2010.33.4
URL	查看来源
语种	英语English
Scopus入藏号	2-s2.0-80052228880
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/6636
专题	北师香港浸会大学
通讯作者	Niu，Qiang
作者单位	1.BNU-HKBU,United International College,Zhuhai 519085,China 2.School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,China 3.School of Mathematical Sciences,Xiamen University,Xiamen 361005,China
第一作者单位	北师香港浸会大学
通讯作者单位	北师香港浸会大学
推荐引用方式 GB/T 7714	Niu，Qiang,Lu，Lin Zhang. An investigation of restarted GMRES method by using flexible starting vectors[J]. Numerical Mathematics, 2010, 3(3): 338-351.
APA	Niu，Qiang, & Lu，Lin Zhang. (2010). An investigation of restarted GMRES method by using flexible starting vectors. Numerical Mathematics, 3(3), 338-351.
MLA	Niu，Qiang,et al."An investigation of restarted GMRES method by using flexible starting vectors". Numerical Mathematics 3.3(2010): 338-351.