A refinement of the gauss-lucas theorem

Detalhes bibliográficos
Autor(a) principal: Dimitrov, Dimitar K. [UNESP]
Data de Publicação: 1998
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1090/S0002-9939-98-04381-0
http://hdl.handle.net/11449/65595
Resumo: The classical Gauss-Lucas Theorem states that all the critical points (zeros of the derivative) of a nonconstant polynomial p lie in the convex hull H of the zeros of p. It is proved that, actually, a subdomain of H contains the critical points of p. ©1998 American Mathematical Society.
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spelling A refinement of the gauss-lucas theoremNontrivial critical point of a polynomialThe classical Gauss-Lucas Theorem states that all the critical points (zeros of the derivative) of a nonconstant polynomial p lie in the convex hull H of the zeros of p. It is proved that, actually, a subdomain of H contains the critical points of p. ©1998 American Mathematical Society.Departamento de CiêNcias de ComputaçÀO E EstatíStica Universidade Estadual Paulista, 15054-000 SãO José, Do Rio Preto, SPDepartamento de CiêNcias de ComputaçÀO E EstatíStica Universidade Estadual Paulista, 15054-000 SãO José, Do Rio Preto, SPUniversidade Estadual Paulista (Unesp)Dimitrov, Dimitar K. [UNESP]2014-05-27T11:19:39Z2014-05-27T11:19:39Z1998-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2065-2070application/pdfhttp://dx.doi.org/10.1090/S0002-9939-98-04381-0Proceedings of the American Mathematical Society, v. 126, n. 7, p. 2065-2070, 1998.0002-9939http://hdl.handle.net/11449/6559510.1090/S0002-9939-98-04381-0WOS:0000746942000252-s2.0-220444408222-s2.0-22044440822.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the American Mathematical Society0.7071,183info:eu-repo/semantics/openAccess2024-01-12T06:25:04Zoai:repositorio.unesp.br:11449/65595Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-12T06:25:04Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A refinement of the gauss-lucas theorem
title A refinement of the gauss-lucas theorem
spellingShingle A refinement of the gauss-lucas theorem
Dimitrov, Dimitar K. [UNESP]
Nontrivial critical point of a polynomial
title_short A refinement of the gauss-lucas theorem
title_full A refinement of the gauss-lucas theorem
title_fullStr A refinement of the gauss-lucas theorem
title_full_unstemmed A refinement of the gauss-lucas theorem
title_sort A refinement of the gauss-lucas theorem
author Dimitrov, Dimitar K. [UNESP]
author_facet Dimitrov, Dimitar K. [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Dimitrov, Dimitar K. [UNESP]
dc.subject.por.fl_str_mv Nontrivial critical point of a polynomial
topic Nontrivial critical point of a polynomial
description The classical Gauss-Lucas Theorem states that all the critical points (zeros of the derivative) of a nonconstant polynomial p lie in the convex hull H of the zeros of p. It is proved that, actually, a subdomain of H contains the critical points of p. ©1998 American Mathematical Society.
publishDate 1998
dc.date.none.fl_str_mv 1998-12-01
2014-05-27T11:19:39Z
2014-05-27T11:19:39Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1090/S0002-9939-98-04381-0
Proceedings of the American Mathematical Society, v. 126, n. 7, p. 2065-2070, 1998.
0002-9939
http://hdl.handle.net/11449/65595
10.1090/S0002-9939-98-04381-0
WOS:000074694200025
2-s2.0-22044440822
2-s2.0-22044440822.pdf
url http://dx.doi.org/10.1090/S0002-9939-98-04381-0
http://hdl.handle.net/11449/65595
identifier_str_mv Proceedings of the American Mathematical Society, v. 126, n. 7, p. 2065-2070, 1998.
0002-9939
10.1090/S0002-9939-98-04381-0
WOS:000074694200025
2-s2.0-22044440822
2-s2.0-22044440822.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the American Mathematical Society
0.707
1,183
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 2065-2070
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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