Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations

DOI10.1016/j.laa.2010.07.025zbMath1223.15015OpenAlexW2049199374MaRDI QIDQ541933

Leiba Rodman, André C. M. Ran, Christian Mehl, Volker Mehrmann

Publication date: 8 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.07.025

zbMATH Keywords

perturbation analysisrank one perturbationstructured matricesgeneric perturbationBrunovsky formcomplex Hamiltonian Jordan form

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Perturbations in control/observation systems (93C73) Canonical structure (93B10) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Perturbation theory of linear operators (47A55) Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)

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