New upper bounds for the spectral variation of a general matrix

DOI10.1080/03081087.2020.1822274zbMath1506.15018arXiv1703.02422OpenAlexW3088903967MaRDI QIDQ5045229

Xuefeng Xu

Publication date: 4 November 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02422

zbMATH Keywords

upper boundperturbationspectral variationHoffman-Wielandt theorem

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55)

Cites Work

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• A note on the variation of the spectrum of an arbitrary matrix
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• The variation of the spectrum of a normal matrix
• Perturbation Bounds for Matrix Eigenvalues
• The perturbation bounds for eigenvalues of normal matrices
• Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations
• Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds
• Some inequalities for commutators and an application to spectral variation. II

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