Polynomials generated by a three term recurrence relation: bounds for complex zeros

Detalhes bibliográficos
Autor(a) principal: da Silva, A. P.
Data de Publicação: 2005
Outros Autores: Ranga, A. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.laa.2004.11.005
http://hdl.handle.net/11449/21746
Resumo: This paper deals with the zeros of polynomials generated by a certain three term recurrence relation. The main objective is to find bounds, in terms of the coefficients of the recurrence relation, for the regions where the zeros are located. In most part, the zeros are explored through an Eigenvalue representation associated with a corresponding Hessenberg rnatrix. Applications to Szego polynomials, para-orthogonal polynomials and polynomials with non-zero complex coefficients are considered. (C) 2004 Elsevier B.V. All rights reserved.
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spelling Polynomials generated by a three term recurrence relation: bounds for complex zerosThree term recurrence relationseigenvalue problemszeros of polynomialsThis paper deals with the zeros of polynomials generated by a certain three term recurrence relation. The main objective is to find bounds, in terms of the coefficients of the recurrence relation, for the regions where the zeros are located. In most part, the zeros are explored through an Eigenvalue representation associated with a corresponding Hessenberg rnatrix. Applications to Szego polynomials, para-orthogonal polynomials and polynomials with non-zero complex coefficients are considered. (C) 2004 Elsevier B.V. All rights reserved.Univ Estadual Paulista, IBILCE, Dept Ciências Computacao & Estat, Sao Jose do Rio Preto, SP, BrazilUniv São Paulo, ICMC, BR-13560970 Sao Carlos, BrazilUniv Estadual Paulista, IBILCE, Dept Ciências Computacao & Estat, Sao Jose do Rio Preto, SP, BrazilElsevier B.V.Universidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)da Silva, A. P.Ranga, A. S.2014-05-20T14:01:37Z2014-05-20T14:01:37Z2005-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article299-324application/pdfhttp://dx.doi.org/10.1016/j.laa.2004.11.005Linear Algebra and Its Applications. New York: Elsevier B.V., v. 397, p. 299-324, 2005.0024-3795http://hdl.handle.net/11449/2174610.1016/j.laa.2004.11.005WOS:000227016000019WOS000227016000019.pdf3587123309745610Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengLinear Algebra and Its Applications0.9720,994info:eu-repo/semantics/openAccess2023-11-23T06:10:16Zoai:repositorio.unesp.br:11449/21746Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:28:39.271104Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Polynomials generated by a three term recurrence relation: bounds for complex zeros
title Polynomials generated by a three term recurrence relation: bounds for complex zeros
spellingShingle Polynomials generated by a three term recurrence relation: bounds for complex zeros
da Silva, A. P.
Three term recurrence relations
eigenvalue problems
zeros of polynomials
title_short Polynomials generated by a three term recurrence relation: bounds for complex zeros
title_full Polynomials generated by a three term recurrence relation: bounds for complex zeros
title_fullStr Polynomials generated by a three term recurrence relation: bounds for complex zeros
title_full_unstemmed Polynomials generated by a three term recurrence relation: bounds for complex zeros
title_sort Polynomials generated by a three term recurrence relation: bounds for complex zeros
author da Silva, A. P.
author_facet da Silva, A. P.
Ranga, A. S.
author_role author
author2 Ranga, A. S.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv da Silva, A. P.
Ranga, A. S.
dc.subject.por.fl_str_mv Three term recurrence relations
eigenvalue problems
zeros of polynomials
topic Three term recurrence relations
eigenvalue problems
zeros of polynomials
description This paper deals with the zeros of polynomials generated by a certain three term recurrence relation. The main objective is to find bounds, in terms of the coefficients of the recurrence relation, for the regions where the zeros are located. In most part, the zeros are explored through an Eigenvalue representation associated with a corresponding Hessenberg rnatrix. Applications to Szego polynomials, para-orthogonal polynomials and polynomials with non-zero complex coefficients are considered. (C) 2004 Elsevier B.V. All rights reserved.
publishDate 2005
dc.date.none.fl_str_mv 2005-03-01
2014-05-20T14:01:37Z
2014-05-20T14:01:37Z
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.laa.2004.11.005
Linear Algebra and Its Applications. New York: Elsevier B.V., v. 397, p. 299-324, 2005.
0024-3795
http://hdl.handle.net/11449/21746
10.1016/j.laa.2004.11.005
WOS:000227016000019
WOS000227016000019.pdf
3587123309745610
url http://dx.doi.org/10.1016/j.laa.2004.11.005
http://hdl.handle.net/11449/21746
identifier_str_mv Linear Algebra and Its Applications. New York: Elsevier B.V., v. 397, p. 299-324, 2005.
0024-3795
10.1016/j.laa.2004.11.005
WOS:000227016000019
WOS000227016000019.pdf
3587123309745610
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Linear Algebra and Its Applications
0.972
0,994
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 299-324
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_ 1808128937267560448

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