On error bounds for eigenvalues of a matrix pencil (original) (raw)

On relative residual bounds for the eigenvalues of a Hermitian matrix

Zlatko Drmac

1996

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Relative perturbation bounds for the eigenvalues of singular matrices

Yimin Wei

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Perturbation Bounds for Eigenvalues and Determinants of Matrices. A Survey

Gil Milman

Axioms, 2021

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Bounds for characteristic values of entire matrix pencils

Gil Milman

Linear Algebra and its Applications, 2004

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Structured Eigenvalue Backward Errors of Matrix Pencils and Polynomials with Hermitian and Related Structures

michael karow

SIAM Journal on Matrix Analysis and Applications, 2014

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On variations of characteristic values of entire matrix pencils

Gil Milman

Journal of Approximation Theory, 2005

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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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Numerical range of linear pencils

Panayiotis Psarrakos

Linear Algebra and its Applications, 2000

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New eigenvalue estimates for complex matrices

Ricardo Soto

Computers & Mathematics with Applications, 1993

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Bounds on distances between eigenvalues

Moshe Haviv

Linear Algebra and its Applications, 1984

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Improving eigenvalue bounds using extra bounds

Jorma Merikoski

Linear Algebra and its Applications, 1985

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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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Structured Eigenvalue Backward Errors of Matrix Pencils and Polynomials with Palindromic Structures

michael karow

SIAM Journal on Matrix Analysis and Applications, 2015

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Bounds for absolute values and imaginary parts of matrix eigenvalues via traces

Gil Milman

Proyecciones, 2022

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More estimates for eigenvalues and singular values

Pablo Tarazaga

Linear Algebra and its Applications, 1991

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Efficient approximation of novel residual bounds for a parameter dependent quadratic eigenvalue problem

michael karow

Numerical algebra, control and optimization, 2024

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Computable eigenvalue bounds for rank-k perturbations

Ricardo Lima da Silva

Linear Algebra and its Applications, 2010

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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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New bounds for the Eigenvalues of Matrix Polynomials

Ahmad Qazza

European Journal of Pure and Applied Mathematics

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Error bounds for the Arnoldi method: a set of extreme eigenpairs

Leonid Knizhnerman

Linear Algebra and its Applications, 1999

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Novel estimations for the eigenvalue bounds of complex interval matrices

Mihaela Matcovschi

Applied Mathematics and Computation, 2014

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Estimates of the spectral condition number

Yimin Wei

Linear and Multilinear Algebra, 2011

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Bounds for eigenvalues of matrix polynomials with applications to scalar polynomials

Aaron Melman

Linear Algebra and its Applications, 2016

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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 bounds for k prescribed eigenvalues of

S. Karbassi

2014

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Sensitivity and Accuracy of Eigenvalues Relative to Their Perturbation

Harun-Or- Roshid

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On the approximation of a matrix

samriddha sanyal

ArXiv, 2021

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Bounds for sine and cosine via eigenvalue estimation

Jorma Merikoski

Special Matrices, 2014

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On accuracy of approximation of the spectral radius by the Gelfand formula

Victor S Kozyakin

2009

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Relative Residual Bounds for Indefinite Singular Hermitian Matrices

Ninoslav Truhar

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Bounds on the error of an approximate invariant subspacefor non-self-adjoint matrices

Ya'acov Ritov

Numerische Mathematik, 1994

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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 note on error bounds for pseudo skeleton approximations of matrices

Frank de Hoog

Linear Algebra and its Applications

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On sensitivity of eigenvalues and eigendecompositions of matrices

Shreemayee Bora, Rafeul Alam

Linear Algebra and its Applications, 2005

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