Perturbation analysis of eigenvalues of polynomial matrices smoothly depending on parameters (original) (raw)

On eigenvalues of perturbed quadratic matrix polynomials

Abbas Salemi

Integral Equations and Operator Theory, 1995

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Smooth multiparameter perturbation of polynomials and operators

Peter Michor

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Quasianalytic multiparameter perturbation of polynomials and normal matrices

Armin Rainer

Transactions of the American Mathematical Society, 2011

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On condition numbers of polynomial eigenvalue problems

Panayiotis Psarrakos

Applied Mathematics and Computation, 2010

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Perturbations of Polynomials with Operator Coefficients

Gil Milman

Journal of Complex Analysis, 2013

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Perturbation and bifurcation of nonsingular multiparametric eigenvalues

Paul Binding

Nonlinear Analysis: Theory, Methods & Applications, 1984

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Perturbations of functions of diagonalizable matrices

Gil Milman

The Electronic Journal of Linear Algebra, 2010

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The sensitivity of eigenvalues under elementary matrix perturbations

Michael Zuker

Linear Algebra and its Applications, 1987

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On the sensitivities of multiple eigenvalues

Manh Nguyen

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On the location of eigenvalues of matrix polynomials

Công Lê

Operators and Matrices, 2019

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Eigenstructure of of singular systems. Perturbation analysis of simple eigenvalues

Maria Isabel Garcia Planas

International Journal of Mathematical Models and Methods in Applied Sciences

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Spectral analysis of regular matrix polynomials

Nir Cohen

Integral Equations and Operator Theory, 1983

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Perturbation results related to palindromic eigenvalue problems

Eric Chu

ANZIAM Journal, 2009

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Stable perturbations of nonsymmetric matrices

James Burke

Linear Algebra and its Applications, 1992

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Remarks on the perturbation of analytic matrix functions III

H. Langer

Integral Equations and Operator Theory, 1992

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Perturbation of complex polynomials and normal operators

Armin Rainer

Mathematische Nachrichten, 2009

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Perturbation Bounds for Eigenvalues and Determinants of Matrices. A Survey

Gil Milman

Axioms, 2021

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Matrix polynomials with specified eigenvalues

michael karow

Linear Algebra and its Applications, 2015

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On spectral variations under bounded real matrix perturbations

D. Hinrichsen

Numerische Mathematik, 1991

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On the distance from a normal matrix polynomial to the set of matrix polynomials with a prescribed multiple eigenvalue

Panayiotis Psarrakos, esmaeil kokabifar

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The change in eigenvalue multiplicity associated with perturbation of a diagonal entry

Charles Johnson

Linear and Multilinear Algebra, 2012

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Matrix Polynomials Subjected to Small Perturbations

Assem Shawky Deif

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1986

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Perturbation theory for the eigenvalues of factorised symmetric matrices

Kresimir Veselic

Linear Algebra and its Applications, 2000

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The distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue

Nikolaos Papathanasiou

Linear Algebra and its Applications, 2008

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On condition numbers of polynomial eigenvalue problems with nonsingular leading coefficients

Nikolaos Papathanasiou

2009

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Perturbation on Polynomials

Ismaïla DIOUF

Journal of Mathematics Research, 2013

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Some Results on Polynomial Numerical Hulls of Perturbed Matrices

Sahand Communications in Mathematical Analysis

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On the distance bounds for two prescribed eigenvalues of matrix polynomials

esmaeil kokabifar, alimohammad nazari

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On the distance from a matrix polynomial to matrix polynomials with two prescribed eigenvalues

S. Karbassi

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Perturbations around the zeros of classical orthogonal polynomials

Ryu Sasaki

Journal of Mathematical Physics, 2015

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S.Analysis of behavior of the eigenvalues and eigenvectors of singular linear systems

Maria Isabel Garcia Planas

WSEAS Transactions on Mathematics

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