Almost strict total positivity and a class of Hurwitz polynomials

Detalhes bibliográficos
Autor(a) principal: Dimitrov, D. K.
Data de Publicação: 2005
Outros Autores: Pena, J. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.jat.2004.10.010
http://hdl.handle.net/11449/21728
Resumo: We establish sufficient conditions for a matrix to be almost totally positive, thus extending a result of Craven and Csordas who proved that the corresponding conditions guarantee that a matrix is strictly totally positive. Then we apply our main result in order to obtain a new criteria for a real algebraic polynomial to be a Hurwitz one. The properties of the corresponding extremal Hurwitz polynomials are discussed. (C) 2004 Elsevier B.V. All rights reserved.
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spelling Almost strict total positivity and a class of Hurwitz polynomialstotally positive matrixstrictly totally positive matrixshadows' lemmaHurwitz polynomialentire function in the Laguerre-Polya classWe establish sufficient conditions for a matrix to be almost totally positive, thus extending a result of Craven and Csordas who proved that the corresponding conditions guarantee that a matrix is strictly totally positive. Then we apply our main result in order to obtain a new criteria for a real algebraic polynomial to be a Hurwitz one. The properties of the corresponding extremal Hurwitz polynomials are discussed. (C) 2004 Elsevier B.V. All rights reserved.Univ Estadual Paulista, IBILCE, Dept Ciência Comp & Estatist, São Paulo, BrazilUniv Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, SpainUniv Estadual Paulista, IBILCE, Dept Ciência Comp & Estatist, São Paulo, BrazilElsevier B.V.Universidade Estadual Paulista (Unesp)Univ ZaragozaDimitrov, D. K.Pena, J. M.2014-05-20T14:01:34Z2014-05-20T14:01:34Z2005-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article212-223application/pdfhttp://dx.doi.org/10.1016/j.jat.2004.10.010Journal of Approximation Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 132, n. 2, p. 212-223, 2005.0021-9045http://hdl.handle.net/11449/2172810.1016/j.jat.2004.10.010WOS:000227196700004WOS000227196700004.pdf1681267716971253Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Approximation Theory0.9390,907info:eu-repo/semantics/openAccess2023-10-20T06:06:31Zoai:repositorio.unesp.br:11449/21728Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:25:26.942379Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Almost strict total positivity and a class of Hurwitz polynomials
title Almost strict total positivity and a class of Hurwitz polynomials
spellingShingle Almost strict total positivity and a class of Hurwitz polynomials
Dimitrov, D. K.
totally positive matrix
strictly totally positive matrix
shadows' lemma
Hurwitz polynomial
entire function in the Laguerre-Polya class
title_short Almost strict total positivity and a class of Hurwitz polynomials
title_full Almost strict total positivity and a class of Hurwitz polynomials
title_fullStr Almost strict total positivity and a class of Hurwitz polynomials
title_full_unstemmed Almost strict total positivity and a class of Hurwitz polynomials
title_sort Almost strict total positivity and a class of Hurwitz polynomials
author Dimitrov, D. K.
author_facet Dimitrov, D. K.
Pena, J. M.
author_role author
author2 Pena, J. M.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Univ Zaragoza
dc.contributor.author.fl_str_mv Dimitrov, D. K.
Pena, J. M.
dc.subject.por.fl_str_mv totally positive matrix
strictly totally positive matrix
shadows' lemma
Hurwitz polynomial
entire function in the Laguerre-Polya class
topic totally positive matrix
strictly totally positive matrix
shadows' lemma
Hurwitz polynomial
entire function in the Laguerre-Polya class
description We establish sufficient conditions for a matrix to be almost totally positive, thus extending a result of Craven and Csordas who proved that the corresponding conditions guarantee that a matrix is strictly totally positive. Then we apply our main result in order to obtain a new criteria for a real algebraic polynomial to be a Hurwitz one. The properties of the corresponding extremal Hurwitz polynomials are discussed. (C) 2004 Elsevier B.V. All rights reserved.
publishDate 2005
dc.date.none.fl_str_mv 2005-02-01
2014-05-20T14:01:34Z
2014-05-20T14:01:34Z
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/10.1016/j.jat.2004.10.010
Journal of Approximation Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 132, n. 2, p. 212-223, 2005.
0021-9045
http://hdl.handle.net/11449/21728
10.1016/j.jat.2004.10.010
WOS:000227196700004
WOS000227196700004.pdf
1681267716971253
url http://dx.doi.org/10.1016/j.jat.2004.10.010
http://hdl.handle.net/11449/21728
identifier_str_mv Journal of Approximation Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 132, n. 2, p. 212-223, 2005.
0021-9045
10.1016/j.jat.2004.10.010
WOS:000227196700004
WOS000227196700004.pdf
1681267716971253
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Approximation Theory
0.939
0,907
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 212-223
application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Web of Science
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
_version_ 1808128511827771392

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