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

1 Citation (Scopus)

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

Fingerprint

All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

Li, T. X., Chu, E. K. W., & Wang, C. S. (2010). Asymptotic perturbation of palindromic eigenvalue problems. Taiwanese Journal of Mathematics, 14(3 A), 781-793. https://doi.org/10.11650/twjm/1500405866

@article{2bc2f355a4ff4beabca5ae50ff007bdd,

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",

month = jun

doi = "10.11650/twjm/1500405866",

language = "English",

volume = "14",

pages = "781--793",

journal = "Taiwanese Journal of Mathematics",

issn = "1027-5487",

publisher = "Mathematical Society of the Rep. of China",

number = "3 A",

}

TY - JOUR

T1 - Asymptotic perturbation of palindromic eigenvalue problems

AU - Li, Tie Xiang

AU - Chu, Eric King wah

AU - Wang, Chern Shuh

PY - 2010/6

Y1 - 2010/6

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.

UR - http://www.scopus.com/inward/record.url?scp=77954055579&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954055579&partnerID=8YFLogxK

U2 - 10.11650/twjm/1500405866

DO - 10.11650/twjm/1500405866

M3 - Article

AN - SCOPUS:77954055579

VL - 14

SP - 781

EP - 793

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

SN - 1027-5487

IS - 3 A

ER -

Access to Document

10.11650/twjm/1500405866