Open Access
2008 PERTURBATION OF EIGENVALUES FOR PERIODIC MATRIX PAIRS VIA JOINT SPECTRUM
Eric King-Wah Chu, Alan J. Pryde
Taiwanese J. Math. 12(9): 2443-2464 (2008). DOI: 10.11650/twjm/1500405189

Abstract

We shall link the well-established concept of joint spectrum with the interesting and practical periodic eigenvalue problems (PEVPs). A Bauer-Fike perturbation theory, incorporating a Clifford algebra technique, for joint spectrum is applied to PEVPs, producing new perturbation results.

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Eric King-Wah Chu. Alan J. Pryde. "PERTURBATION OF EIGENVALUES FOR PERIODIC MATRIX PAIRS VIA JOINT SPECTRUM." Taiwanese J. Math. 12 (9) 2443 - 2464, 2008. https://doi.org/10.11650/twjm/1500405189

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1187.15010
MathSciNet: MR2479065
Digital Object Identifier: 10.11650/twjm/1500405189

Subjects:
Primary: 15A18‎ , 15A66 , 47A55 , 47A75 , 65F15

Keywords: Bauer-Fike theorem , Clifford algebra , condition number , eigenvalue problem , joint spectrum , lambda-matrix , matrix perturbation analysis , periodic eigenvalue problem , periodic matrix pairs , periodic system

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 9 • 2008
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