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Stability properties of superoptimal preconditioner fromnumerical range
Che-Man Cheng1; Xiao-Qing Jin1; Yi-Min Wei2
2006-09
Source PublicationNUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN1070-5325
Volume13Issue:7Pages:513-521
Abstract

A matrix is said to be stable if the real parts of all the eigenvalues are negative. In this paper, for any matrix A(n), we give some sufficient and necessary conditions for the stability of superoptimal preconditioner E-U(A(n)) proposed by Tyrtyshnikov (SIAM J. Matrix Anal, Appl. 1992; 13:459-473). Copyright (C) 2005 John Wiley & Sons, Ltd.

KeywordSuperoptimal Preconditioner Optimal Preconditioner Stability Numerical Range
DOIhttps://doi.org/10.1002/nla.472
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000240752300001
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Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorXiao-Qing Jin
Affiliation1.Department of Mathematics;University of Macau;Macao;People’s Republic of China
2.Department of Mathematics;Fudan University;Shanghai 200433;People’s Republic of China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Che-Man Cheng,Xiao-Qing Jin,Yi-Min Wei. Stability properties of superoptimal preconditioner fromnumerical range[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2006,13(7):513-521.
APA Che-Man Cheng,Xiao-Qing Jin,&Yi-Min Wei.(2006).Stability properties of superoptimal preconditioner fromnumerical range.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,13(7),513-521.
MLA Che-Man Cheng,et al."Stability properties of superoptimal preconditioner fromnumerical range".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 13.7(2006):513-521.
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