Bounds for characteristic values of entire matrix pencils

M. I. Gil

doi:10.1016/j.laa.2004.04.029

Bounds for characteristic values of entire matrix pencils

M. I. Gil

Department of Mathematics

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

5 Scopus citations

Abstract

Entire matrix-valued functions of a complex argument (entire matrix pencils) are considered. Upper bounds for sums of characteristic values and a lower bound for the smallest characteristic value are derived in the terms of the coefficients of the Taylor series. These results are new even for polynomial pencils.

Original language	English
Pages (from-to)	311-320
Number of pages	10
Journal	Linear Algebra and Its Applications
Volume	390
Issue number	1-3
DOIs	https://doi.org/10.1016/j.laa.2004.04.029
State	Published - 1 Oct 2004

Keywords

Characteristic values
Entire matrix pencils

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2004.04.029

Cite this

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title = "Bounds for characteristic values of entire matrix pencils",

abstract = "Entire matrix-valued functions of a complex argument (entire matrix pencils) are considered. Upper bounds for sums of characteristic values and a lower bound for the smallest characteristic value are derived in the terms of the coefficients of the Taylor series. These results are new even for polynomial pencils.",

keywords = "Characteristic values, Entire matrix pencils",

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note = "Funding Information: This research was supported by the Kamea Fund of the Israel No. 8567901. E-mail address: [email protected]",

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PY - 2004/10/1

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N2 - Entire matrix-valued functions of a complex argument (entire matrix pencils) are considered. Upper bounds for sums of characteristic values and a lower bound for the smallest characteristic value are derived in the terms of the coefficients of the Taylor series. These results are new even for polynomial pencils.

AB - Entire matrix-valued functions of a complex argument (entire matrix pencils) are considered. Upper bounds for sums of characteristic values and a lower bound for the smallest characteristic value are derived in the terms of the coefficients of the Taylor series. These results are new even for polynomial pencils.

KW - Characteristic values

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DO - 10.1016/j.laa.2004.04.029

M3 - Article

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EP - 320

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

Bounds for characteristic values of entire matrix pencils

Abstract

Keywords

ASJC Scopus subject areas

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