The Quality of Zero Bounds for Complex Polynomials

In this paper, we evaluate the quality of zero bounds on the moduli of univariate complex polynomials. We select classical and recently developed bounds and evaluate their quality by using several sets of complex polynomials. As the quality of priori bounds has not been investigated thoroughly, our...

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Detalles Bibliográficos
Autores principales: Dehmer, Matthias, Tsoy, Yury Robertovich
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2012
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3395648/
https://www.ncbi.nlm.nih.gov/pubmed/22808042
http://dx.doi.org/10.1371/journal.pone.0039537
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author Dehmer, Matthias
Tsoy, Yury Robertovich
author_facet Dehmer, Matthias
Tsoy, Yury Robertovich
author_sort Dehmer, Matthias
collection PubMed
description In this paper, we evaluate the quality of zero bounds on the moduli of univariate complex polynomials. We select classical and recently developed bounds and evaluate their quality by using several sets of complex polynomials. As the quality of priori bounds has not been investigated thoroughly, our results can be useful to find optimal bounds to locate the zeros of complex polynomials.
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spelling pubmed-33956482012-07-17 The Quality of Zero Bounds for Complex Polynomials Dehmer, Matthias Tsoy, Yury Robertovich PLoS One Research Article In this paper, we evaluate the quality of zero bounds on the moduli of univariate complex polynomials. We select classical and recently developed bounds and evaluate their quality by using several sets of complex polynomials. As the quality of priori bounds has not been investigated thoroughly, our results can be useful to find optimal bounds to locate the zeros of complex polynomials. Public Library of Science 2012-07-12 /pmc/articles/PMC3395648/ /pubmed/22808042 http://dx.doi.org/10.1371/journal.pone.0039537 Text en Dehmer, Tsoy. http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Dehmer, Matthias
Tsoy, Yury Robertovich
The Quality of Zero Bounds for Complex Polynomials
title The Quality of Zero Bounds for Complex Polynomials
title_full The Quality of Zero Bounds for Complex Polynomials
title_fullStr The Quality of Zero Bounds for Complex Polynomials
title_full_unstemmed The Quality of Zero Bounds for Complex Polynomials
title_short The Quality of Zero Bounds for Complex Polynomials
title_sort quality of zero bounds for complex polynomials
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3395648/
https://www.ncbi.nlm.nih.gov/pubmed/22808042
http://dx.doi.org/10.1371/journal.pone.0039537
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