Basic matrix perturbation theory

DOI10.4171/LEM/64-3/4-1OpenAlexW2963012205WikidataQ127460137 ScholiaQ127460137MaRDI QIDQ2327743

Benjamin Texier

Publication date: 15 October 2019

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/lem/64-3/4-1

zbMATH Keywords

matrix perturbation theoryregularity of spectra in finite dimensions

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Perturbation theory of linear operators (47A55)

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Cites Work

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• Smoothness of roots of polynomials depending on parameters
• Perturbation theory for linear operators.
• Hyperbolic polynomials and multiparameter real-analytic perturbation theory
• The short-wave limit for nonlinear, symmetric, hyperbolic systems