A note on spectra of optimal and superoptimal preconditioned matrices

doi:10.1016/j.laa.2006.11.006

UM > Faculty of Science and Technology > DEPARTMENT OF MATHEMATICS

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Status	已發表Published
	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 Publication	Linear Algebra and Its Applications
ISSN	0024-3795
Volume	422 Issue:2-3 Pages: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.
Keyword	Optimal Preconditioner Preconditioned Matrix Spectrum Superoptimal Preconditioner
DOI	10.1016/j.laa.2006.11.006
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied ; Mathematics
WOS ID	WOS:000245782600011
Publisher	ELSEVIER SCIENCE INC
Scopus ID	2-s2.0-33847285097
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Corresponding Author	Xiao-Qing Jin
Affiliation	Department of Mathematics, University of Macau, Macao, China
First Author Affilication	University of Macau
Corresponding Author Affilication	University 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.

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