A stability test for real polynomials
type: Item
instance of: scholarly article
title: A stability test for real polynomials
zbMATH Open document ID: 0797.65041
DOI: 10.1007/BF01385686
author: F. Locher
published in: Numerische Mathematik
publication date: 1994-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/133751
review text: A relation between the winding number of a polynomial \(\Sigma_ \nu a_ \nu z^ \nu\) with respect to the unit circle and the zeros of the polynomials \(\Sigma_ \nu a_ \nu T_ \nu(x)\), \(\Sigma_ \nu a_{\nu + 1} U_ \nu(x)\) is established. Now Sturm sequence techniques lead to a simple stability test for the original polynomial.
reviewed by: D. Braess
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 93B55
zbMATH DE Number: 569147
zbMATH Keywords: Routh algorithm
zbMATH Keywords: winding number
zbMATH Keywords: polynomial
zbMATH Keywords: Sturm sequence
zbMATH Keywords: stability test
MaRDI profile type: Publication
cites work: Q4072022
cites work: Q5653524
description: scientific article; zbMATH DE number 569147