On spectral variations under bounded real matrix perturbations

DOI10.1007/BF01385734zbMath0747.65021OpenAlexW2094607148MaRDI QIDQ1185486

Anthony J. Pritchard, Diederich Hinrichsen

Publication date: 28 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133604

zbMATH Keywords

spectral setstability radiussimilarity transformationsperturbed matriceseigenvalue setsbounded real matrix perturbations

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (10)

Pseudospectrum enclosures by discretization ⋮ A note on structured pseudospectra of block matrices ⋮ A note on the eigenvectors of perturbed matrices with applications to linear positive systems ⋮ Computing spectral value sets using the subharmonicity of the norm of rational matrices ⋮ Criss-Cross Type Algorithms for Computing the Real Pseudospectral Abscissa ⋮ Minimal perturbation approach implementation in spectral methods ⋮ Spectral value sets: A graphical tool for robustness analysis ⋮ Robust Stability of Differential-Algebraic Equations ⋮ On \(\varepsilon\)-spectra and stability radii ⋮ More on pseudospectra for polynomial eigenvalue problems and applications in control theory

Cites Work

• Stability radius for structured perturbations and the algebraic Riccati equation
• Stability radii of linear systems
• Absolute and monotonic norms
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