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A note on spectra of optimal and superoptimal preconditioned matrices
Cheng,Che Man; Jin,Xiao Qing; Vong,Seak Weng; Wang,Wei
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. © 2006 Elsevier Inc. All rights reserved.

KeywordOptimal Preconditioner Preconditioned Matrix Spectrum Superoptimal Preconditioner
DOI10.1016/j.laa.2006.11.006
URLView the original
Language英語English
WOS IDWOS:000245782600011
Scopus ID2-s2.0-33847285097
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Document TypeJournal article
CollectionUniversity of Macau
AffiliationDepartment of Mathematics,University of Macau,Macao,Macao
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Cheng,Che Man,Jin,Xiao Qing,Vong,Seak Weng,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 Cheng,Che Man., Jin,Xiao Qing., Vong,Seak Weng., & Wang,Wei (2007). A note on spectra of optimal and superoptimal preconditioned matrices. Linear Algebra and Its Applications, 422(2-3), 482-485.
MLA Cheng,Che Man,et al."A note on spectra of optimal and superoptimal preconditioned matrices".Linear Algebra and Its Applications 422.2-3(2007):482-485.
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