Polynomials with all zeros real and in a prescribed interval
type: Item
instance of: scholarly article
title: Polynomials with all zeros real and in a prescribed interval
zbMATH Open document ID: 1027.30012
DOI: 10.1023/A:1021848304877
published in: Journal of Algebraic Combinatorics
publication date: 2003-03-11T00:00:00Z
review text: The problem of the localization of the zeros of the given real-valued polynomial is important both from the theoretical and practical point of view.Using deep methods from algebraic geometry and the so-called \(K\)-moment problem the author gives the localization of the zeros of a polynomial in prescribed interval in terms of the definiteness of some Hankel matrices (finite number of the conditions).
reviewed by: Jan Szynal
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 05E05
Mathematics Subject Classification ID: 26C15
Mathematics Subject Classification ID: 44A60
zbMATH DE Number: 1879618
zbMATH Keywords: location of zeros of real polynomials
author: Jean B. Lasserre
MaRDI profile type: Publication
cites work: On the generating functions of totally positive sequences. I
cites work: The combinatorics of transition matrices between the bases of the symmetric functions and the \(B_ n\) analogues
cites work: The truncated complex $K$-moment problem
cites work: Q3254327
cites work: Q4399987
cites work: Q5590219
cites work: Nonnegativity of uncertain polynomials
cites work: Q4501788
full work available at URL: a:1021848304877
OpenAlex ID: W120369501
description: scientific article; zbMATH DE number 1879618