UM  > 科技學院  > 數學系
A note on spectra of optimal and superoptimal preconditioned matrices
Che-Man Cheng; Xiao-Qing Jin; Seak-Weng Vong; Wei Wang
2007-04-15
Source PublicationLinear Algebra and Its Applications
ISSN0024-3795
Volume422Issue:2-3Pages:482-485
Abstract

In this short note, it is proved that given any positive definite Hermitian matrix, the eigenvalues of the superoptimal preconditioned matrix do not exceed the corresponding eigenvalues of the optimal preconditioned matrix. 

KeywordOptimal Preconditioner Preconditioned Matrix Spectrum Superoptimal Preconditioner
DOIhttp://doi.org/10.1016/j.laa.2006.11.006
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000245782600011
PublisherELSEVIER SCIENCE INC
Fulltext Access
Citation statistics
Cited Times [WOS]:7   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorXiao-Qing Jin
AffiliationDepartment of Mathematics, University of Macau, Macao, China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Che-Man Cheng,Xiao-Qing Jin,Seak-Weng Vong,et al. A note on spectra of optimal and superoptimal preconditioned matrices[J]. Linear Algebra and Its Applications,2007,422(2-3):482-485.
APA Che-Man Cheng,Xiao-Qing Jin,Seak-Weng Vong,&Wei Wang.(2007).A note on spectra of optimal and superoptimal preconditioned matrices.Linear Algebra and Its Applications,422(2-3),482-485.
MLA Che-Man Cheng,et al."A note on spectra of optimal and superoptimal preconditioned matrices".Linear Algebra and Its Applications 422.2-3(2007):482-485.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Che-Man Cheng]'s Articles
[Xiao-Qing Jin]'s Articles
[Seak-Weng Vong]'s Articles
Baidu academic
Similar articles in Baidu academic
[Che-Man Cheng]'s Articles
[Xiao-Qing Jin]'s Articles
[Seak-Weng Vong]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Che-Man Cheng]'s Articles
[Xiao-Qing Jin]'s Articles
[Seak-Weng Vong]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.