Hadamard products of stable polynomials are stable
type: Item
instance of: scholarly article
title: Hadamard products of stable polynomials are stable
zbMATH Open document ID: 0860.15018
author: Jürgen Garloff
author: David G. Wagner
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-05-06T00:00:00Z
review text: A real polynomial is said to be (Hurwitz or asymptotically) stable if all its zeros lie in the open left half of the complex plane. The authors show that the Hadamard coefficientwise product of two stable polynomials is again stable, improving upon some known results. Via the associated Hurwitz matrices of real polynomials the authors find a further example of a class of totally nonnegative matrices (i.e. every minor is nonnegative) which is closed under Hadamard multiplication of matrices.
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 26C10
zbMATH DE Number: 934211
zbMATH Keywords: Hadamard products
zbMATH Keywords: Hurwitz stability
zbMATH Keywords: asymptotic stability
zbMATH Keywords: location of zeros
zbMATH Keywords: Hurwitz matrices
zbMATH Keywords: real polynomials
zbMATH Keywords: totally nonnegative matrices
reviewed by: Rabe von Randow
MaRDI profile type: Publication
OpenAlex ID: W2034969529
DOI: 10.1006/JMAA.1996.0348
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description: scientific article; zbMATH DE number 934211