Stability properties of superoptimal preconditioner fromnumerical range

doi:10.1002/nla.472

UM > Faculty of Science and Technology

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Status	已發表Published
	Stability properties of superoptimal preconditioner fromnumerical range
	Che-Man Cheng 1; Xiao-Qing Jin1 ; Yi-Min Wei 2
	2006-09
Source Publication	NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN	1070-5325
Volume	13 Issue:7 Pages:513-521
Abstract	A matrix is said to be stable if the real parts of all the eigenvalues are negative. In this paper, for any matrix A(n), we give some sufficient and necessary conditions for the stability of superoptimal preconditioner E-U(A(n)) proposed by Tyrtyshnikov (SIAM J. Matrix Anal, Appl. 1992; 13:459-473). Copyright (C) 2005 John Wiley & Sons, Ltd.
Keyword	Superoptimal Preconditioner Optimal Preconditioner Stability Numerical Range
DOI	10.1002/nla.472
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied ; Mathematics
WOS ID	WOS:000240752300001
Scopus ID	2-s2.0-33748782286
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science
Citation statistics
Document Type	Journal article
Collection	Faculty of Science and Technology DEPARTMENT OF MATHEMATICS
Corresponding Author	Xiao-Qing Jin
Affiliation	1.Department of Mathematics;University of Macau;Macao;People’s Republic of China 2.Department of Mathematics;Fudan University;Shanghai 200433;People’s Republic of China
First Author Affilication	University of Macau
Corresponding Author Affilication	University of Macau
Recommended Citation GB/T 7714	Che-Man Cheng,Xiao-Qing Jin,Yi-Min Wei. Stability properties of superoptimal preconditioner fromnumerical range[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2006, 13(7), 513-521.
APA	Che-Man Cheng., Xiao-Qing Jin., & Yi-Min Wei (2006). Stability properties of superoptimal preconditioner fromnumerical range. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 13(7), 513-521.
MLA	Che-Man Cheng,et al."Stability properties of superoptimal preconditioner fromnumerical range".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 13.7(2006):513-521.

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