Stable perturbations of nonsymmetric matrices

DOI10.1016/0024-3795(92)90263-AzbMath0756.15023OpenAlexW4205138698MaRDI QIDQ1188440

Michael L. Overton, James V. Burke

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90263-a

zbMATH Keywords

stabilityeigenvaluespectral radiusJordan formmatrix perturbationArnold normal formPuiseux-Newton diagram

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Perturbations of ordinary differential equations (34D10) Canonical forms, reductions, classification (15A21)

Related Items (10)

Sensitivity and Computation of a Defective Eigenvalue ⋮ Nongeneric eigenvalue perturbations of Jordan blocks ⋮ Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings ⋮ Effect of linear perturbation on spectra of matrices ⋮ A note on Homotopic Deviation versus perturbation ⋮ On matrix perturbations with minimal leading Jordan structure. ⋮ Stabilization of bilinear sparse matrix control systems using periodic inputs ⋮ Two-time-scale distributions and singular perturbations ⋮ Transformation to versal deformations of matrices ⋮ Perturbations of Jordan matrices

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