Perturbation of eigenvalues for periodic matrix pairs via the Bauer-Fike theorems

DOI10.1016/j.laa.2003.06.022zbMath1056.15010OpenAlexW2083927768MaRDI QIDQ1826724

Wen-Wei Lin, Eric King-Wah Chu

Publication date: 6 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.06.022

zbMATH Keywords

Condition numberPeriodic systemEigenvalue problemBauer-Fike theoremLambda-matrixMatrix perturbation analysisPeriodic eigenvalue problemPeriodic matrix pairs

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

The Rayleigh-Ritz method, refinement and Arnoldi process for periodic matrix pairs, Backward errors of periodic invariant subspaces for regular periodic matrix pairs, Structured Eigenvalue Problems

Uses Software

• Matlab

Cites Work

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• Numerically robust pole assignment for second-order systems
• Perturbation analysis for the eigenproblem of periodic matrix pairs