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Some Refined Eigenvalue Perturbation Bounds for Two-by-Two Block Hermitian Matrices

Published online by Cambridge University Press:  28 May 2015

Xianping Wu ,
Wen Li  and
Xiaofei Peng
Xianping Wu*
Affiliation:
Department of Mathematics, School of Basic Courses, Guangdong Pharmaceutical University, Guangzhou, 510006, P. R., China
Wen Li
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R., China
Xiaofei Peng
Affiliation:
School of Software, South China Normal University, Foshan, 528225, P. R., China
*
*Corresponding author. Email addresses: pphappe@sina.com (X. Wu), liwen@scnu.edu.cn (W. Li), pxf6628@163.com (X. Peng)
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Abstract

We consider eigenvalue perturbation bounds for Hermitian matrices, which are associated with problems arising in various computational science and engineering applications. New bounds are discussed that are sharper than some existing ones, including the well-known Weyl bound. Two numerical examples are investigated, to illustrate our theoretical presentation.

Keywords

65F10Eigenvalue perturbationHermitian block matrixWeyl bound
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 5 , Issue 2 , May 2015 , pp. 126 - 137
Copyright
Copyright © Global-Science Press 2015 

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