On High Order Barycentric Root-Finding Methods

Detalhes bibliográficos
Autor(a) principal: GRAÇA,M.M.
Data de Publicação: 2016
Outros Autores: LIMA,P.M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512016000300321
Resumo: ABSTRACT. To approximate a simple root of a real function f we construct a family of iterative maps, which we call Newton-barycentric functions, and analyse their convergence order. The performance of the resulting methods is illustrated by means of numerical examples.
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spelling On High Order Barycentric Root-Finding Methodsorder of convergenceNewton's methodNewton-barycentric mapnonlinear equationsABSTRACT. To approximate a simple root of a real function f we construct a family of iterative maps, which we call Newton-barycentric functions, and analyse their convergence order. The performance of the resulting methods is illustrated by means of numerical examples.Sociedade Brasileira de Matemática Aplicada e Computacional2016-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512016000300321TEMA (São Carlos) v.17 n.3 2016reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2016.017.03.0321info:eu-repo/semantics/openAccessGRAÇA,M.M.LIMA,P.M.eng2017-01-05T00:00:00Zoai:scielo:S2179-84512016000300321Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2017-01-05T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse
dc.title.none.fl_str_mv On High Order Barycentric Root-Finding Methods
title On High Order Barycentric Root-Finding Methods
spellingShingle On High Order Barycentric Root-Finding Methods
GRAÇA,M.M.
order of convergence
Newton's method
Newton-barycentric map
nonlinear equations
title_short On High Order Barycentric Root-Finding Methods
title_full On High Order Barycentric Root-Finding Methods
title_fullStr On High Order Barycentric Root-Finding Methods
title_full_unstemmed On High Order Barycentric Root-Finding Methods
title_sort On High Order Barycentric Root-Finding Methods
author GRAÇA,M.M.
author_facet GRAÇA,M.M.
LIMA,P.M.
author_role author
author2 LIMA,P.M.
author2_role author
dc.contributor.author.fl_str_mv GRAÇA,M.M.
LIMA,P.M.
dc.subject.por.fl_str_mv order of convergence
Newton's method
Newton-barycentric map
nonlinear equations
topic order of convergence
Newton's method
Newton-barycentric map
nonlinear equations
description ABSTRACT. To approximate a simple root of a real function f we construct a family of iterative maps, which we call Newton-barycentric functions, and analyse their convergence order. The performance of the resulting methods is illustrated by means of numerical examples.
publishDate 2016
dc.date.none.fl_str_mv 2016-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512016000300321
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512016000300321
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.5540/tema.2016.017.03.0321
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv TEMA (São Carlos) v.17 n.3 2016
reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
instname:Sociedade Brasileira de Matemática Aplicada e Computacional
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional
instacron_str SBMAC
institution SBMAC
reponame_str TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
collection TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
repository.name.fl_str_mv TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional
repository.mail.fl_str_mv castelo@icmc.usp.br
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