On variations of characteristic values of entire matrix pencils

M. I. Gil'

doi:10.1016/j.jat.2005.06.004

On variations of characteristic values of entire matrix pencils

M. I. Gil'

Department of Mathematics

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

3 Scopus citations

Abstract

Entire matrix-valued functions of a complex argument (entire matrix pencils) are considered. Bounds for spectral variations of pencils are derived. In particular, approximations of entire pencils by polynomial pencils are investigated. Our results are new even for polynomial pencils.

Original language	English
Pages (from-to)	115-128
Number of pages	14
Journal	Journal of Approximation Theory
Volume	136
Issue number	1
DOIs	https://doi.org/10.1016/j.jat.2005.06.004
State	Published - 1 Sep 2005

Keywords

Characteristic values
Entire matrix pencils
Perturbations

ASJC Scopus subject areas

Analysis
Numerical Analysis
General Mathematics
Applied Mathematics

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10.1016/j.jat.2005.06.004

Cite this

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title = "On variations of characteristic values of entire matrix pencils",

abstract = "Entire matrix-valued functions of a complex argument (entire matrix pencils) are considered. Bounds for spectral variations of pencils are derived. In particular, approximations of entire pencils by polynomial pencils are investigated. Our results are new even for polynomial pencils.",

keywords = "Characteristic values, Entire matrix pencils, Perturbations",

author = "Gil', {M. I.}",

note = "Funding Information: This research was supported by the Kamea Fund of Israel. E-mail address: [email protected].",

year = "2005",

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N1 - Funding Information: This research was supported by the Kamea Fund of Israel. E-mail address: [email protected].

PY - 2005/9/1

Y1 - 2005/9/1

N2 - Entire matrix-valued functions of a complex argument (entire matrix pencils) are considered. Bounds for spectral variations of pencils are derived. In particular, approximations of entire pencils by polynomial pencils are investigated. Our results are new even for polynomial pencils.

AB - Entire matrix-valued functions of a complex argument (entire matrix pencils) are considered. Bounds for spectral variations of pencils are derived. In particular, approximations of entire pencils by polynomial pencils are investigated. Our results are new even for polynomial pencils.

KW - Characteristic values

KW - Entire matrix pencils

KW - Perturbations

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DO - 10.1016/j.jat.2005.06.004

M3 - Article

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EP - 128

JO - Journal of Approximation Theory

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IS - 1

ER -

On variations of characteristic values of entire matrix pencils

Abstract

Keywords

ASJC Scopus subject areas

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