Asymptotic perturbation of palindromic eigenvalue problems

Tie Xiang Li; Eric King wah Chu; Chern Shuh Wang

doi:10.11650/twjm/1500405866

Asymptotic perturbation of palindromic eigenvalue problems

Tie Xiang Li, Eric King wah Chu, Chern Shuh Wang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic P(λ) = λ²A₁^T+λA₀+ A₁ with A₀, A₁ ∈ C^n×n and A₀^T = A₀. The perturbation of eigenvalues and eigenvectors, in terms of palindromic matrix polynomials and palindromic linearizations, are discussed using Sun's implicit function approach.

Original language	English
Pages (from-to)	781-793
Number of pages	13
Journal	Taiwanese Journal of Mathematics
Volume	14
Issue number	3 A
DOIs	https://doi.org/10.11650/twjm/1500405866
Publication status	Published - 2010 Jun

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Asymptotic perturbation of palindromic eigenvalue problems",

abstract = "We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic P(λ) = λ2A1T+λA0+ A1 with A0, A1 ∈ Cn×n and A0T = A0. The perturbation of eigenvalues and eigenvectors, in terms of palindromic matrix polynomials and palindromic linearizations, are discussed using Sun's implicit function approach.",

author = "Li, {Tie Xiang} and Chu, {Eric King wah} and Wang, {Chern Shuh}",

year = "2010",

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N2 - We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic P(λ) = λ2A1T+λA0+ A1 with A0, A1 ∈ Cn×n and A0T = A0. The perturbation of eigenvalues and eigenvectors, in terms of palindromic matrix polynomials and palindromic linearizations, are discussed using Sun's implicit function approach.

AB - We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic P(λ) = λ2A1T+λA0+ A1 with A0, A1 ∈ Cn×n and A0T = A0. The perturbation of eigenvalues and eigenvectors, in terms of palindromic matrix polynomials and palindromic linearizations, are discussed using Sun's implicit function approach.

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JO - Taiwanese Journal of Mathematics

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SN - 1027-5487

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Asymptotic perturbation of palindromic eigenvalue problems

Abstract

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