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On the variation of the spectrum of a Hermitian matrix
Li, Wen1; Vong, Seak-Weng2
2017-03
Source PublicationAPPLIED MATHEMATICS LETTERS
ISSN0893-9659
Volume65Pages:70-76
Abstract

In this paper, we consider the eigenvalue variation for any perturbation of Hermitian matrices, and we obtain two perturbation bounds. The first bound always improves the existing bound, and the second bound also improves the existing one under a suitable condition. A simple example is given for comparing these bounds. (C) 2016 Elsevier Ltd. All rights reserved.

KeywordHermitian Matrix Eigenvalue Perturbation
DOI10.1016/j.aml.2016.10.005
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000390630400011
PublisherPERGAMON-ELSEVIER SCIENCE LTD
The Source to ArticleWOS
Scopus ID2-s2.0-84993958642
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Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorLi, Wen
Affiliation1.School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, PR China
2.Department of Mathematics, University of Macau, Macau, PR China
Recommended Citation
GB/T 7714
Li, Wen,Vong, Seak-Weng. On the variation of the spectrum of a Hermitian matrix[J]. APPLIED MATHEMATICS LETTERS, 2017, 65, 70-76.
APA Li, Wen., & Vong, Seak-Weng (2017). On the variation of the spectrum of a Hermitian matrix. APPLIED MATHEMATICS LETTERS, 65, 70-76.
MLA Li, Wen,et al."On the variation of the spectrum of a Hermitian matrix".APPLIED MATHEMATICS LETTERS 65(2017):70-76.
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