Properties of the set of hadamardized Hurwitz polynomials
type: Item
instance of: scholarly article
title: Properties of the set of hadamardized Hurwitz polynomials
zbMATH Open document ID: 1394.93254
DOI: 10.1155/2015/695279
author: Baltazar Aguirre-Hernández
author: Edgar-Cristian Díaz-González
author: Carlos-Arturo Loredo-Villalobos
author: Faustino-Ricardo García-Sosa
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We say that a Hurwitz polynomial \(p \left(t\right)\) is a Hadamardized polynomial if there are two Hurwitz polynomials \(f \left(t\right)\) and \(g \left(t\right)\) such that \(f \ast g = p\), where \(f \ast g\) is the Hadamard product of \(f\) and \(g\). In this paper, we prove that the set of all Hadamardized Hurwitz polynomials is an open, unbounded, nonconvex, and arc-connected set. Furthermore, we give a result so that a fourth-degree Hurwitz interval polynomial is a Hadamardized polynomial family and we discuss an approach of differential topology in the study of the set of Hadamardized Hurwitz polynomials.
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 6927007
Wikidata QID: Q59118949
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/695279
OpenAlex ID: W1523086426
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description: scientific article; zbMATH DE number 6927007