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

3 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

General Mathematics

Access to Document

10.1007/s12215-020-00499-1

Cite this

@article{bf4fdd1c64894f8895d7d6a2ede8e588,

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",

author = "Michael Gil{\textquoteright}",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag Italia S.r.l., part of Springer Nature.",

year = "2021",

month = apr,

day = "1",

doi = "10.1007/s12215-020-00499-1",

language = "English",

volume = "70",

pages = "341--348",

journal = "Rendiconti del Circolo Matematico di Palermo",

issn = "0009-725X",

publisher = "Springer-Verlag Italia s.r.l.",

number = "1",

}

TY - JOUR

T1 - A new inequality for the Hausdorff distance between spectra of two matrices

AU - Gil’, Michael

PY - 2021/4/1

Y1 - 2021/4/1

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85084149140

U2 - 10.1007/s12215-020-00499-1

DO - 10.1007/s12215-020-00499-1

M3 - Article

AN - SCOPUS:85084149140

SN - 0009-725X

VL - 70

SP - 341

EP - 348

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this