A new inequality for the Hausdorff distance between spectra of two matrices

DOI10.1007/s12215-020-00499-1zbMath1464.15028OpenAlexW3088261794MaRDI QIDQ2024420

Michael I. Gil'

Publication date: 4 May 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00499-1

zbMATH Keywords

perturbationsmatricesspectral variationHausdorff distance between spectra

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

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• Infinite-dimensional features of matrices and pseudospectra
• Computation of eigenpair partial derivatives by Rayleigh-Ritz procedure
• Spectral variation bounds in hyperbolic geometry
• Norm estimates for functions of matrices with simple spectrum
• Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices
• Optimal bounds for the spectral variation of two regular matrix pairs
• An optimal bound for the spectral variation of two matrices
• Operator functions and localization of spectra
• An Elsner-like perturbation theorem for generalized eigenvalues
• An analysis of the Rayleigh--Ritz method for approximating eigenspaces
• Estimating matching distance between spectra
• Perturbation Bounds for Matrix Eigenvalues
• RELATIVE PERTURBATION BOUNDS FOR THE JOINT SPECTRUM OF COMMUTING TUPLES OF MATRICES
• Relative Perturbation Theory for Diagonally Dominant Matrices
• The Convergence of Harmonic Ritz Vectors and Harmonic Ritz Values, Revisited

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