Bounds for absolute values and imaginary parts of matrix eigenvalues via traces

Michael Gil

doi:10.22199/issn.0717-6279-5349

Bounds for absolute values and imaginary parts of matrix eigenvalues via traces

Michael Gil

Department of Mathematics

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

3 Scopus citations

Abstract

Let(Formula Presented)be the eigenvalues of an n × n-matrix A taken with their algebraic multiplicities. We suggest new bounds for (Formula Presented) and (Formula Presented) which refine the previously published results.

Original language	English
Pages (from-to)	1229-1237
Number of pages	9
Journal	Proyecciones
Volume	41
Issue number	5
DOIs	https://doi.org/10.22199/issn.0717-6279-5349
State	Published - 1 Oct 2022

Keywords

Localization of eigenvalues
Matrices

ASJC Scopus subject areas

General Mathematics

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10.22199/issn.0717-6279-5349

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title = "Bounds for absolute values and imaginary parts of matrix eigenvalues via traces",

abstract = "Let(Formula Presented)be the eigenvalues of an n × n-matrix A taken with their algebraic multiplicities. We suggest new bounds for (Formula Presented) and (Formula Presented) which refine the previously published results.",

keywords = "Localization of eigenvalues, Matrices",

author = "Michael Gil",

year = "2022",

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language = "English",

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AB - Let(Formula Presented)be the eigenvalues of an n × n-matrix A taken with their algebraic multiplicities. We suggest new bounds for (Formula Presented) and (Formula Presented) which refine the previously published results.

KW - Localization of eigenvalues

KW - Matrices

UR - https://www.scopus.com/pages/publications/85140034231

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DO - 10.22199/issn.0717-6279-5349

M3 - Article

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ER -

Bounds for absolute values and imaginary parts of matrix eigenvalues via traces

Abstract

Keywords

ASJC Scopus subject areas

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