Hermite-Biehler, Routh-Hurwitz, and total positivity

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Simple proofs of the Hermite-Biehler and Routh-Hurwitz theorems are presented. The total nonnegativity of the Hurwitz matrix of a stable real polynomial follows as an immediate corollary.
4 pages

Keywords

Classical Analysis and ODEs, Rings and Algebras, 93D05, 12D10, 26C05, 26C10, 30C15, 15A23, 15A48, 15A57

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/106399

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512591
 http://arxiv.org/abs/math/0512591
 Linear Algebra and its Applications, 372 (2003), 105-110
 doi:10.1016/S0024-3795(03)00501-9

Collections

arXiv