Title of article
On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices
Author/Authors
Li، نويسنده , , Wen and Vong، نويسنده , , Seak-Weng and Peng، نويسنده , , Xiao-fei، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
13
From page
38
To page
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.
Keywords
Hermitian block tridiagonal matrices , Saddle point matrices , Weylיs bound , eigenvalue perturbation
Journal title
Applied Numerical Mathematics
Serial Year
2014
Journal title
Applied Numerical Mathematics
Record number
1529938
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