On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices

doi:10.1016/j.apnum.2014.04.010

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Residential College	false
Status	已發表Published
	On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices
	Li W.1; Vong S.-W.2 ; Peng X.-F.1
	2014
Source Publication	Applied Numerical Mathematics
ISSN	01689274
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
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
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 W.; Vong S.-W.; Peng X.-F.
Affiliation	1.South China Normal University 2.Universidade de Macau
Corresponding Author Affilication	University of Macau
Recommended Citation GB/T 7714	Li W.,Vong S.-W.,Peng X.-F.. On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices[J]. Applied Numerical Mathematics, 2014, 83, 38-50.
APA	Li W.., Vong S.-W.., & Peng X.-F. (2014). On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices. Applied Numerical Mathematics, 83, 38-50.
MLA	Li W.,et al."On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices".Applied Numerical Mathematics 83(2014):38-50.

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