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Perturbation Bound for the Eigenvalues of a Singular Diagonalizable Matrix

Published online by Cambridge University Press:  28 May 2015

Yimin Wei  and
Yifei Qu
Yimin Wei*
Affiliation:
School of Mathematical Sciences, Fudan University, Shanghai, 200433, China Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, China
Yifei Qu*
Affiliation:
Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, China
*
Corresponding author. Email: ymwei@fudan.edu.cn, yimin.wei@gmail.com
Corresponding author. Email: 08302010026@fudan.edu.cn
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Abstract

In this short note, we present a sharp upper bound for the perturbation of eigenvalues of a singular diagonalizable matrix given by Stanley C. Eisenstat [3].

Keywords

15A0965F20Bauer-Fike theoremdiagonalizable matrixgroup inverseJordan canonical form
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 4 , Issue 1 , February 2014 , pp. 88 - 94
Copyright
Copyright © Global-Science Press 2014

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References

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