PERTURBATION RESULTS RELATED TO PALINDROMIC EIGENVALUE PROBLEMS

DOI10.1017/S144618110800031XzbMath1171.15007OpenAlexW2099650127MaRDI QIDQ5191235

Chern-Shuh Wang, Wen-Wei Lin, E. K.-W. Chu

Publication date: 29 July 2009

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144618110800031x

zbMATH Keywords

perturbationmatrix polynomialpalindromic eigenvalue problempalindromic linearizationpalindromic pencilanti-triangular form

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

Cites Work

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• Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms
• The solution of the matrix equations \(AXB-CXD=E\) and \((YA-DZ,YC- BZ)=(E,F)\)
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• Perturbation theory for homogeneous polynomial eigenvalue problems
• Backward error and condition of polynomial eigenvalue problems
• The Quadratic Eigenvalue Problem
• Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
• On Multiple Eigenvalues of Matrices Depending on Several Parameters
• Perturbation of Eigenvalues for Matrix Polynomials via The Bauer--Fike Theorems
• Vector Spaces of Linearizations for Matrix Polynomials
• Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations

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