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

Michael Gil’

doi:10.1007/s12215-020-00499-1

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

Michael Gil’

Department of Mathematics

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

2 Scopus citations

Abstract

We derive new inequalities for the spectral variation of matrices and Hausdorff distance between spectra of two matrices explicitly expressed via the entries of the considered matrices. In the appropriate situations our results are sharper than the well-known bounds.

Original language	English
Pages (from-to)	341-348
Number of pages	8
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	70
Issue number	1
DOIs	https://doi.org/10.1007/s12215-020-00499-1
State	Published - 1 Apr 2021

Keywords

Hausdorff distance between spectra
Matrices
Perturbations
Spectral variation

ASJC Scopus subject areas

Mathematics (all)

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10.1007/s12215-020-00499-1

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title = "A new inequality for the Hausdorff distance between spectra of two matrices",

abstract = "We derive new inequalities for the spectral variation of matrices and Hausdorff distance between spectra of two matrices explicitly expressed via the entries of the considered matrices. In the appropriate situations our results are sharper than the well-known bounds.",

keywords = "Hausdorff distance between spectra, Matrices, Perturbations, Spectral variation",

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AB - We derive new inequalities for the spectral variation of matrices and Hausdorff distance between spectra of two matrices explicitly expressed via the entries of the considered matrices. In the appropriate situations our results are sharper than the well-known bounds.

KW - Hausdorff distance between spectra

KW - Matrices

KW - Perturbations

KW - Spectral variation

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M3 - Article

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ER -

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

Abstract

Keywords

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