• Corpus ID: 118780317

# Generalized Hurwitz polynomials

@article{Tyaglov2010GeneralizedHP,
title={Generalized Hurwitz polynomials},
author={Mikhail Tyaglov},
journal={arXiv: Classical Analysis and ODEs},
year={2010}
}
• M. Tyaglov
• Published 17 May 2010
• Mathematics
• arXiv: Classical Analysis and ODEs
We describe a wide class of polynomials, which is a natural generalization of Hurwitz stable polynomials. We also give a detailed account of so-called self-interlacing polynomials, which are dual to Hurwitz stable polynomials but have only real and simple zeroes. All proofs are given using properties of rational functions mapping the upper half-plane of the complex plane to the lower half-plane. Matrices with self-interlacing spectra and other applications of generalized Hurwitz polynomials are…
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