The perturbation bounds for eigenvalues of normal matrices

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)89-94
Journal / PublicationNumerical Linear Algebra with Applications
Volume12
Issue number2-3
Publication statusPublished - Mar 2005

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-20744458548&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(87adf35a-2c24-41f1-8b50-414a1a57a01c).html

Abstract

In this paper we present some new absolute and relative perturbation bounds of eigenvalues of normal matrices. The bounds depend upon the closeness of perturbed matrices to normal matrices and improve those previous results (Duke Math. J. 1953; 20:37-39, Linear Algebra Appl. 1996; 246:215-223). Copyright © 2004 John Wiley & Sons, Ltd.

Research Area(s)

  • Eigenvalue, Normal matrix, Perturbation

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Publication fingerprints text

100
Eigenvalue Mathematics
100
Bounds Mathematics
100
Normal Matrix Mathematics
100
Perturbation Bound Keyphrases
100
Eigenvalue Bounds Keyphrases
100
matrices INIS
100
eigenvalues INIS
100
perturbations INIS
33
Matrix (Mathematics... Mathematics
33
Closeness Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
The perturbation bounds for eigenvalues of normal matrices. / Li, Wen; Sun, Weiwei.
In: Numerical Linear Algebra with Applications, Vol. 12, No. 2-3, 03.2005, p. 89-94.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review