Properties of the Set of Hadamardized Hurwitz Polynomials

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

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We say that a Hurwitz polynomial p t is a Hadamardized polynomial if there are two Hurwitz polynomials f t and g t such that f ∗ g = p, where f ∗ 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.

Original languageEnglish
Article number695279
JournalMathematical Problems in Engineering
StatePublished - 1 Jan 2015


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