Zeros of univariate interval polynomials
type: Item
instance of: scholarly article
title: Zeros of univariate interval polynomials
zbMATH Open document ID: 1146.65041
author: Xuchuan Fan
author: Jiansong Deng
author: Falai Chen
published in: Journal of Computational and Applied Mathematics
publication date: 2008-06-19T00:00:00Z
review text: The zeros of univariate interval polynomials are investigated. The authors prove that a univariate interval polynomial of degree \(n\) has at most \(n\) interval zeros, and has exactly \(n\) complex block zeros if multiplicities are counted. The boundaries of complex block zeros are explicitly described. Efficient numerical methods are developed to bound interval zeros and complex block zeros. Examples show that the proposed numerical algorithm generally produce good results.
reviewed by: Petko Hr. Petkov
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 5290913
zbMATH Keywords: interval polynomial
zbMATH Keywords: interval zero
zbMATH Keywords: complex block zero
zbMATH Keywords: boundary polynomial
zbMATH Keywords: numerical examples
zbMATH Keywords: interval arithmetic
MaRDI profile type: Publication
full work available at URL: j.cam.2007.06.007
OpenAlex ID: W2101884475
cites work: Descartes' Rule of Signs Revisited
cites work: Q4079605
cites work: A priori estimates for the zeros of interval polynomials
cites work: On the computation of solutions of systems of interval polynomial equations
cites work: Sharp bounds on interval polynomial roots
cites work: Q5647003
cites work: Comparison of interval methods for plotting algebraic curves
DOI: 10.1016/J.CAM.2007.06.007
description: scientific article; zbMATH DE number 5290913