TY - JOUR
T1 - Properties of the Set of Hadamardized Hurwitz Polynomials
AU - Aguirre-Hernández, Baltazar
AU - Díaz-González, Edgar Cristian
AU - Loredo-Villalobos, Carlos Arturo
AU - García-Sosa, Faustino Ricardo
N1 - Publisher Copyright:
© 2015 Baltazar Aguirre-Hernández et al.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84935900558&partnerID=8YFLogxK
U2 - 10.1155/2015/695279
DO - 10.1155/2015/695279
M3 - Artículo
AN - SCOPUS:84935900558
SN - 1024-123X
VL - 2015
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 695279
ER -