First order spectral perturbation theory of square singular matrix pencils

DOI10.1016/j.laa.2008.03.015zbMath1154.15012OpenAlexW2059790034MaRDI QIDQ929481

Froilán M. Dopico, Julio Moro, Fernando De Terán

Publication date: 17 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.03.015

zbMATH Keywords

perturbationeigenvalueseigenvectorsPuiseux expansionssingular pencils

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

Related Items (10)

First order spectral perturbation theory of square singular matrix polynomials ⋮ On the sign characteristics of Hermitian matrix polynomials ⋮ Finite rank perturbations of linear relations and matrix pencils ⋮ On the superstability of an interval family of differential-algebraic equations ⋮ Robustness of stability of time-varying index-1 DAEs ⋮ Singular quadratic eigenvalue problems: linearization and weak condition numbers ⋮ On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem ⋮ First order structured perturbation theory for multiple zero eigenvalues of skew-adjoint matrices ⋮ Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices ⋮ Solving Singular Generalized Eigenvalue Problems by a Rank-Completing Perturbation

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