On a Dual to the Properties of Hurwitz Polynomials I

• 作者: Gastón Vergara-Hermosilla
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Hurwitz Polynomials Anti-Hurwitz Polynomials Hermite-Biehler Theo-rem Exclusion Principle
• 年，卷（期）: 2021,（1）
• 页码范围: 31-41
• 页数: 11页
• 分类号: O17

摘要

In this work we develop necessary and sufficient conditions for describing the family of anti-Hurwitz polynomials, introduced by Vergara-Hermosilla <em>et al</em>. 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.