Perturbation results related to palindromic eigenvalue problems

E. K.W. Chu; Wen-Wei Lin; C. S. Wang

doi:10.1017/S144618110800031X

Perturbation results related to palindromic eigenvalue problems

E. K.W. Chu, Wen-Wei Lin, C. S. Wang

Department of Applied Mathematics

Research output: Contribution to journal › Article

1 Scopus citations

Abstract

We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic P(λ) = λ² A₁* + λ A₀ + A₁ with A₀,A₁ C ^n×n and AM₀* = A₀ (where * = T 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.

Original language	English
Pages (from-to)	87-100
Number of pages	14
Journal	ANZIAM Journal
Volume	50
Issue number	1
DOIs	https://doi.org/10.1017/S144618110800031X
State	Published - 1 Dec 2009

Keywords

anti-triangular form
eigenvalue
eigenvector
matrix polynomial
palindromic eigenvalue problem
palindromic linearization
palindromic pencil
perturbation

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10.1017/S144618110800031X

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Chu, E. K. W., Lin, W-W., & Wang, C. S. (2009). Perturbation results related to palindromic eigenvalue problems. ANZIAM Journal, 50(1), 87-100. https://doi.org/10.1017/S144618110800031X

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KW - palindromic eigenvalue problem

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