Vergara-Hermosilla, G., Matignon, D. and Tucsnak, M. (2020) Asymptotic Behaviour of a System Modelling Rigid Structures Floating in a Viscous Fluid. hal-02475583, Version 1.

has been cited by the following article:

• TITLE: On a Dual to the Properties of Hurwitz Polynomials I

  AUTHORS: Gastón Vergara-Hermosilla

  KEYWORDS: Hurwitz Polynomials, Anti-Hurwitz Polynomials, Hermite-Biehler Theo-rem, Exclusion Principle

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.11 No.1, March 17, 2021

  ABSTRACT: 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.