Properties of the Set of Hadamardized Hurwitz Polynomials

Baltazar Aguirre-Hernández, Edgar-Cristian Díaz-González, Carlos-Arturo Loredo-Villalobos and Faustino-Ricardo García-Sosa

Mathematical Problems in Engineering, 2015, vol. 2015, 1-8

Abstract:

We say that a Hurwitz polynomial is a Hadamardized polynomial if there are two Hurwitz polynomials and such that , where is the Hadamard product of and . 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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:695279

DOI: 10.1155/2015/695279

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