First order spectral perturbation theory of square singular matrix polynomials

DOI10.1016/j.laa.2009.10.003zbMath1187.15013OpenAlexW4206077477MaRDI QIDQ846318

Froilán M. Dopico, Fernando De Terán

Publication date: 9 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.10.003

zbMATH Keywords

perturbationeigenvaluesmatrix pencilPuiseux expansionssingular matrix polynomials

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

Related Items (5)

Wilkinson's bus: weak condition numbers, with an application to singular polynomial eigenproblems ⋮ Relative perturbation theory for definite matrix pairs and hyperbolic eigenvalue problem ⋮ Singular quadratic eigenvalue problems: linearization and weak condition numbers ⋮ Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices ⋮ On the distance to singularity via low rank perturbations

Cites Work

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