文章基本信息

标题：On a Dual to the Properties of Hurwitz Polynomials I
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作者：Gastón Vergara-Hermosilla
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2021
卷号：11
期号：1
页码：31-41
DOI：10.4236/ajcm.2021.111003
语种：English
出版社：Scientific Research Publishing
摘要：In this work we develop necessary and sufficient conditions for describing the family of anti-Hurwitz polynomials, introduced by Vergara-Hermosilla et al. in [1]. Specifically, we studied a dual version of the Theorem of Routh-Hurwitz and present explicit criteria for polynomials of low order and derivatives. Another contribution of this work is establishing a dual version of the Hermite-Biehler Theorem. To this aim, we give extensions of the boundary crossing Theorems and a zero exclusion principle for anti-Hurwitz polynomials.
关键词：Hurwitz Polynomials;Anti-Hurwitz Polynomials;Hermite-Biehler Theo-rem;Exclusion Principle