A bound for the matching distance between eigenvalues of matrices

Michael Gil

doi:10.5486/PMD.2023.9330

A bound for the matching distance between eigenvalues of matrices

Michael Gil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We derive a new bound for the matching optimal distance between eigenvalues of two matrices in terms of the spectral and Hilbert-Schmidt (Frobenius) norms. In the appropriate situations our results are considerably sharper than the wellknown bounds.

Original language	English
Pages (from-to)	95-102
Number of pages	8
Journal	Publicationes Mathematicae Debrecen
Volume	102
Issue number	1-2
DOIs	https://doi.org/10.5486/PMD.2023.9330
State	Published - 1 Jan 2023

Keywords

eigenvalues
matrices
perturbation

ASJC Scopus subject areas

General Mathematics

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10.5486/PMD.2023.9330

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KW - matrices

KW - perturbation

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A bound for the matching distance between eigenvalues of matrices

Abstract

Keywords

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