Absolute and relative Weyl theorems for generalized eigenvalue problems (original) (raw)

Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices

Jesse Barlow

Linear Algebra and its Applications, 2000

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Relative perturbation theory for quadratic Hermitian eigenvalue problems

Xin Liang

arXiv: Numerical Analysis, 2016

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Perturbation of Partitioned Hermitian Generalized Eigenvalue Problem

Ninoslav Truhar

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Optimal perturbation bounds for the Hermitian eigenvalue problem

Jesse Barlow

Linear Algebra and its Applications, 2000

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Relative Perturbation Theory for Quadratic Eigenvalue Problems

Xin Liang

arXiv: Numerical Analysis, 2016

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Perturbation Bounds for Eigenvalues and Determinants of Matrices. A Survey

Gil Milman

Axioms, 2021

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Perturbed eigenvalue problems: an overview

Andrei Grecu

Studia Universitatis Babes-Bolyai Matematica, 2021

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Relative perturbation bounds for the eigenvalues of singular matrices

Yimin Wei

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Perturbation of multiple eigenvalues of Hermitian matrices

Ninoslav Truhar

Linear Algebra and its Applications, 2012

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A variational principle for eigenvalues of pencils of Hermitian matrices

Paul Binding

Integral Equations and Operator Theory, 1999

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Variational principles for real eigenvalues of self-adjoint operator pencils

Paul Binding

Integral Equations and Operator Theory, 2000

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Generalized and quadratic eigenvalue problems with hermitian matrices

Ali Mohamud Farah

2012

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Non-linear bounds for the generalized eigensystem of a matrix pencil with distinct eigenvalues

Vera Angelova, Ivan Popchev

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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 generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach

Peyman Milanfar

2005

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Relative perturbation bounds for the eigenvalues of diagonalizable and singular matrices – Application of perturbation theory for simple invariant subspaces

Yimin Wei

Linear Algebra and its Applications, 2006

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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 relative residual bounds for the eigenvalues of a Hermitian matrix

Zlatko Drmac

1996

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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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On the eigenvalue problem for self-adjoint operators with singular perturbations

Sylwia Kondej

Mathematische Nachrichten

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Weyl's type theorems and perturbations

Jesus David Moscote Guillen

Divulgaciones Matematicas

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Eigenvalue characterization of some structured matrix pencils under linear perturbation

Morad Ahmadnasab

˜The œelectronic journal of linear algebra, 2024

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A Perturbation Result for a Double Eigenvalue Hemivariational Inequality with Constraints and Applications

Vicentiu Radulescu

Journal of Global Optimization, 1999

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On spectral variations under bounded real matrix perturbations

D. Hinrichsen

Numerische Mathematik, 1991

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On error bounds for eigenvalues of a matrix pencil

M. Ahues, Balmohan V Limaye

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A geometric method for eigenvalue problems with low-rank perturbations

Thomas Anastasio

Royal Society Open Science

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Perturbing eigenvalues of nonnegative matrices

Chi-Kwong Li

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Reshetov LA The rotation of eigenspaces of perturbed matrix pairs II

Леонид Решетов

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Relative Perturbation Bound for Invariant Subspaces of Hermitian Matrix

Ivan Slapnicar

1998

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

GELU PASA

2021

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Generalized a-Weyl’s theorem and perturbations

Mohamed Berkani

2010

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Perturbation results related to palindromic eigenvalue problems

Eric Chu

ANZIAM Journal, 2009

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Perturbations of simple eigenvectors¶of linear operators

Gil Milman

Manuscripta Mathematica, 1999

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