Zero-flee regions for a rational function with applications

John Jones; Bruno Welfert

doi:10.1007/BF03028371

Zero-flee regions for a rational function with applications

John Jones, Bruno Welfert

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

1 Scopus citations

Abstract

In this paper, we study a rational function which plays an important role in several problems of interest (eigenvalue problems, linear control theory, ... ). Our main interest is to determine zero-free regions. We also derive upper and lower bounds for this function.

Original language	English (US)
Pages (from-to)	265-289
Number of pages	25
Journal	Advances in Computational Mathematics
Volume	3
Issue number	3
DOIs	https://doi.org/10.1007/BF03028371
State	Published - Apr 1995

Keywords

AMS subject classification: 30C15, 65F30, 12D10
Rational interpolation
zero-free regions
zeros and poles

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/BF03028371

Cite this

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title = "Zero-flee regions for a rational function with applications",

abstract = "In this paper, we study a rational function which plays an important role in several problems of interest (eigenvalue problems, linear control theory, ... ). Our main interest is to determine zero-free regions. We also derive upper and lower bounds for this function.",

keywords = "AMS subject classification: 30C15, 65F30, 12D10, Rational interpolation, zero-free regions, zeros and poles",

author = "John Jones and Bruno Welfert",

year = "1995",

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doi = "10.1007/BF03028371",

language = "English (US)",

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AU - Jones, John

AU - Welfert, Bruno

PY - 1995/4

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AB - In this paper, we study a rational function which plays an important role in several problems of interest (eigenvalue problems, linear control theory, ... ). Our main interest is to determine zero-free regions. We also derive upper and lower bounds for this function.

KW - AMS subject classification: 30C15, 65F30, 12D10

KW - Rational interpolation

KW - zero-free regions

KW - zeros and poles

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ER -

Zero-flee regions for a rational function with applications

Abstract

Keywords

ASJC Scopus subject areas

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