Remarks on the perturbation of analytic matrix functions. III

DOI10.1007/BF01200701zbMath0784.47026WikidataQ124629960 ScholiaQ124629960MaRDI QIDQ1804032

Heinz K. Langer, Branko Najman

Publication date: 29 June 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Newton diagramperturbation matrixanalytic matrix functionPuiseux expansionsreal positive and real negative leading coefficients

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Matrix pencils (15A22)

Related Items (8)

Can a semi-simple eigenvalue admit fractional sensitivities? ⋮ On eigenvalues of perturbed quadratic matrix polynomials ⋮ First order spectral perturbation theory of square singular matrix polynomials ⋮ Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings ⋮ First order spectral perturbation theory of square singular matrix pencils ⋮ Conservation of the numbers of characteristic values of polynomial and entire matrix pencils inside and outside a circle under perturbations ⋮ On the perturbation of analytic matrix functions ⋮ An Explicit Formula for the Splitting of Multiple Eigenvalues for Nonlinear Eigenvalue Problems and Connections with the Linearization for the Delay Eigenvalue Problem

Cites Work

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• Remarks on the perturbation of analytic matrix functions
• Quadratic matrix polynomials with a parameter
• Semidefinite perturbations of analytic Hermitian matrix functions
• Remarks on the perturbation of analytic matrix functions. II

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