On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices

doi:10.1016/j.apnum.2014.04.010

UM > Faculty of Science and Technology > DEPARTMENT OF MATHEMATICS

Residential College	false
Status	已發表Published
	On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices
	Li,Wen 1; Vong,Seak Weng2 ; Peng,Xiao Fei 3
	2014
Source Publication	Applied Numerical Mathematics
ISSN	0168-9274
Volume	83 Pages:38-50
Abstract	In this paper, we give some structured perturbation bounds for generalized saddle point matrices and Hermitian block tridiagonal matrices. Our bounds improve some existing ones. In particular, the proposed bounds reveal the sensitivity of the eigenvalues with respect to perturbations of different blocks. Numerical examples confirm the theoretical results. © 2014 IMACS.
Keyword	Eigenvalue Perturbation Hermitian Block Tridiagonal Matrices Saddle Point Matrices Weyl's Bound
DOI	10.1016/j.apnum.2014.04.010
URL	View the original
Language	英語English
WOS ID	WOS:000338486200004
Scopus ID	2-s2.0-84900811250
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	Li,Wen
Affiliation	1.School of Mathematical Sciences, South China Normal University,Guangzhou, 510631,China 2.Department of Mathematics, University of Macau,Macao 3.School of Software, South China Normal University,Foshan, 528225,China
Recommended Citation GB/T 7714	Li,Wen,Vong,Seak Weng,Peng,Xiao Fei. On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices[J]. Applied Numerical Mathematics, 2014, 83, 38-50.
APA	Li,Wen., Vong,Seak Weng., & Peng,Xiao Fei (2014). On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices. Applied Numerical Mathematics, 83, 38-50.
MLA	Li,Wen,et al."On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices".Applied Numerical Mathematics 83(2014):38-50.

Files in This Item:
There are no files associated with this item.

If you have any objections to this item, please fill out the form below and the administrator will contact you as soon as possible.
Content:
Email：	*
Affiliation No.
Verification Code:	Refresh

Any comments and suggestions are welcomed.
Title:	*
Content:
Email：	*
Verification Code:	Refresh