Zero-flee regions for a rational function with applications

John Jones; Bruno Welfert

doi:10.1007/BF02988626

Zero-flee regions for a rational function with applications

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

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	1
DOIs	https://doi.org/10.1007/BF02988626
State	Published - 1995

Keywords

12D10
30C15
65F30
Rational interpolation
zero-free regions
zeros and poles

ASJC Scopus subject areas

Applied Mathematics
Computational Mathematics

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10.1007/BF02988626

Cite this

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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 = "12D10, 30C15, 65F30, Rational interpolation, zero-free regions, zeros and poles",

author = "John Jones and Bruno Welfert",

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KW - Rational interpolation

KW - zero-free regions

KW - zeros and poles

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Zero-flee regions for a rational function with applications

Abstract

Keywords

ASJC Scopus subject areas

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