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A short note on singular values of optimal and superoptimal preconditioned matrices
Jin X.-Q.1; Wei Y.-M.2
2007-08-01
Source PublicationInternational Journal of Computer Mathematics
ISSN00207160 10290265
Volume84Issue:8Pages:1261-1263
Abstract

In this short note, we prove that given any nonsingular matrix, the singular values of the superoptimal preconditioned matrix do not exceed the corresponding singular values of the optimal preconditioned matrix.

KeywordOptimal Preconditioner Superoptimal Preconditioner
DOIhttps://doi.org/10.1080/00207160701356530
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000249136700011
PublisherTAYLOR & FRANCIS LTD
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Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Department of Mathematics, University of Macau, Macao, P.R. China
2.Institute of Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, & Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Ministry of Education, P.R. China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Jin X.-Q.,Wei Y.-M.. A short note on singular values of optimal and superoptimal preconditioned matrices[J]. International Journal of Computer Mathematics,2007,84(8):1261-1263.
APA Jin X.-Q.,&Wei Y.-M..(2007).A short note on singular values of optimal and superoptimal preconditioned matrices.International Journal of Computer Mathematics,84(8),1261-1263.
MLA Jin X.-Q.,et al."A short note on singular values of optimal and superoptimal preconditioned matrices".International Journal of Computer Mathematics 84.8(2007):1261-1263.
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