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PERTURBATION RESULTS RELATED TO PALINDROMIC EIGENVALUE PROBLEMS

Published online by Cambridge University Press:  01 July 2008

E. K.-W. CHU*
Affiliation:
School of Mathematical Sciences, Building 28, Monash University, VIC 3800, Australia (email: [email protected])
W.-W. Lin
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 300, Taiwan (email: [email protected])
C.-S. Wang
Affiliation:
Department of Mathematics, National Cheng Kung University, Tainan 701, Taiwan (email: [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic with A0,A1∈𝒞n×n and (where or H). The perturbation of eigenvalues in the context of general matrix polynomials, palindromic pencils, (semi-Schur) anti-triangular canonical forms and differentiation is discussed.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2009

References

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