On spectral variation of two-parameter matrix eigenvalue problem (original) (raw)

On the Spectrum of a Nonlinear Two Parameter Matrix Eigenvalue Problem

Gil Milman

Applications of Nonlinear Analysis, 2018

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Bounds for the spectrum of a two parameter matrix eigenvalue problem

Gil Milman

Linear Algebra and its Applications, 2016

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Conservation of the number of the eigenvalues of two-parameter matrix problems in bounded domains under perturbations

Gil Milman

ANNALI DELL'UNIVERSITA' DI FERRARA, 2019

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Perturbed eigenvalue problems: an overview

Andrei Grecu

Studia Universitatis Babes-Bolyai Matematica, 2021

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On spectral variations under bounded real matrix perturbations

D. Hinrichsen

Numerische Mathematik, 1991

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On quadratic and singular two-parameter eigenvalue problems

Bor Plestenjak

2008

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Perturbation of multiparameter non-self-adjoint boundary eigenvalue problems for operator matrices

Oleg Kirillov

2010

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Perturbation and bifurcation of nonsingular multiparametric eigenvalues

Paul Binding

Nonlinear Analysis: Theory, Methods & Applications, 1984

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Variational methods for one and several parameter nonlinear eigenvalue problems

Paul Binding

Canadian Journal of Mathematics, 1981

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Perturbation Bounds for Eigenvalues and Determinants of Matrices. A Survey

Gil Milman

Axioms, 2021

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The spectral variation for two matrices with spectra on two intersecting lines

Dr. Farid O. Farid

Linear Algebra and its Applications, 1992

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Perturbation analysis on matrix pencils for two specified eigenpairs of a semisimple eigenvalue with multiplicity two

Prince Kanhya

ETNA - Electronic Transactions on Numerical Analysis

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On the quadratic two-parameter eigenvalue problem and its linearization

Bor Plestenjak

Linear Algebra and its Applications, 2010

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A bound for the spectral variation of two matrices

Gil Milman

Applied Mathematics E-Notes [electronic only], 2002

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Perturbation of Partitioned Hermitian Generalized Eigenvalue Problem

Ninoslav Truhar

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Relative Perturbation Theory for Quadratic Eigenvalue Problems

Xin Liang

arXiv: Numerical Analysis, 2016

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Nonlinear eigenvalue problems

Larissa Fradkin

Bulletin of the Australian Mathematical Society, 1975

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Nonlinear Eigenvalue Problems with Specified Eigenvalues

Emre Mengi, Daniel Kressner

SIAM Journal on Matrix Analysis and Applications, 2014

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Interaction of eigenvalues in multi-parameter problems

Alexander Seyranian

Journal of Sound and Vibration - J SOUND VIB, 2003

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On spectral variations under relatively bounded perturbations

Gil Milman

Archiv der Mathematik, 2001

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A non-existence result due to small perturbations in an eigenvalue problem

GELU PASA

2021

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Perturbation analysis of eigenvalues of polynomial matrices smoothly depending on parameters

Maria Isabel Garcia Planas

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Perturbation of eigenvalues for periodic matrix pairs via the Bauer–Fike theorems

Eric Chu

Linear Algebra and its Applications, 2004

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A numerical method for the solution of two-parameter eigenvalue problems

T. Slivnik

Journal of computational and applied mathematics, 1986

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Eigenvalue bifurcation in multiparameter families of non-self-adjoint operator matrices

Oleg Kirillov

Zeitschrift für angewandte Mathematik und Physik, 2010

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Perturbation of multiple eigenvalues of Hermitian matrices

Ninoslav Truhar

Linear Algebra and its Applications, 2012

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Effect of linear perturbation on spectra of matrices

Shreemayee Bora, Rafeul Alam

Linear Algebra and its Applications, 2003

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Perturbation effects in nonlinear eigenvalue problems

Vicentiu Radulescu

Nonlinear Analysis: Theory, Methods & Applications, 2009

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Variational analysis of an extended eigenvalue problem

Jane J Ye

Linear Algebra and its Applications, 1995

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The sensitivity of eigenvalues under elementary matrix perturbations

Michael Zuker

Linear Algebra and its Applications, 1987

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Perturbations of functions of diagonalizable matrices

Gil Milman

The Electronic Journal of Linear Algebra, 2010

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A singularly perturbed linear eigenvalue problem in C 1 domains

Meijun Zhu

Pacific Journal of Mathematics, 2004

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Spectral perturbation by rank one matrices

Ján Mináč

arXiv (Cornell University), 2021

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Relative perturbation theory for quadratic Hermitian eigenvalue problems

Xin Liang

arXiv: Numerical Analysis, 2016

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A geometric method for eigenvalue problems with low-rank perturbations

Thomas Anastasio

Royal Society Open Science

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