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

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

Year:    2015

East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 2 : pp. 126–137

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.201114.150315a

East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 2 : pp. 126–137

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Eigenvalue perturbation Hermitian block matrix Weyl bound.