A short note on singular values of optimal and superoptimal preconditioned matrices

doi:10.1080/00207160701356530

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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 Publication	International Journal of Computer Mathematics
ISSN	00207160 10290265
Volume	84 Issue:8 Pages: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.
Keyword	Optimal Preconditioner Superoptimal Preconditioner
DOI	10.1080/00207160701356530
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000249136700011
Publisher	TAYLOR & FRANCIS LTD
Scopus ID	2-s2.0-34548321485
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
Affiliation	1.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 Affilication	University 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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