A refined bound for the spectral variations of matrices

DOI10.14232/actasm-020-566-zzbMath1474.15049OpenAlexW3161251796MaRDI QIDQ4997649

Michael I. Gil'

Publication date: 29 June 2021

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/actasm-020-566-z

zbMATH Keywords

spectral normspectral variationElsner's inequality

Mathematics Subject Classification ID

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

Cites Work

• 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
• Optimal bounds for the spectral variation of two regular matrix pairs
• An optimal bound for the spectral variation of two matrices
• An Elsner-like perturbation theorem for generalized eigenvalues
• Perturbations of determinants of matrices
• Estimating matching distance between spectra
• Perturbation Bounds for Matrix Eigenvalues
• The Convergence of Harmonic Ritz Vectors and Harmonic Ritz Values, Revisited
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