Hermite-Biehler, Routh-Hurwitz, and total positivity
Classical Analysis and ODEs
2007-05-23 v1 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.math/0512591,
title = {Hermite-Biehler, Routh-Hurwitz, and total positivity},
author = {Olga Holtz},
journal= {arXiv preprint arXiv:math/0512591},
year = {2007}
}
Comments
4 pages