Geometric constructions of iterative functions to solve nonlinear equations

In this paper we present the geometrical interpretation of several iterative methods to solve a nonlinear scalar equation. In addition, we also review the extension to general Banach spaces and some computational aspects of these methods. © 2003 Elsevier B.V. All rights reserved.

Detalhes bibliográficos
Autores: Amat, S. [0000-0002-9954-5240], Busquier, S. [0000-0003-0910-2030], Gutiérrez, J.M. [0000-0002-0434-7250]
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2003
País:España
Recursos:Universidad de La Rioja (UR)
Repositório:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc698bb750603269e81d26
Acesso em linha:https://investigacion.unirioja.es/documentos/5bbc698bb750603269e81d26
Access Level:Acceso aberto
Palavra-chave:Iterative methods
Newton's method
Nonlinear equations
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spelling Geometric constructions of iterative functions to solve nonlinear equationsAmat, S. [0000-0002-9954-5240]Busquier, S. [0000-0003-0910-2030]Gutiérrez, J.M. [0000-0002-0434-7250]Iterative methodsNewton's methodNonlinear equationsIn this paper we present the geometrical interpretation of several iterative methods to solve a nonlinear scalar equation. In addition, we also review the extension to general Banach spaces and some computational aspects of these methods. © 2003 Elsevier B.V. All rights reserved.2003info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc698bb750603269e81d26reponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/S0377-0427(03)00420-5info:eu-repo/semantics/altIdentifier/pissn/0377-0427Geometric constructions of iterative functions to solve nonlinear equations, 2003, vol. 157, núm. 1, pág. 197-205info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc698bb750603269e81d262026-06-14T12:47:17Z
dc.title.none.fl_str_mv Geometric constructions of iterative functions to solve nonlinear equations
title Geometric constructions of iterative functions to solve nonlinear equations
spellingShingle Geometric constructions of iterative functions to solve nonlinear equations
Amat, S. [0000-0002-9954-5240]
Iterative methods
Newton's method
Nonlinear equations
title_short Geometric constructions of iterative functions to solve nonlinear equations
title_full Geometric constructions of iterative functions to solve nonlinear equations
title_fullStr Geometric constructions of iterative functions to solve nonlinear equations
title_full_unstemmed Geometric constructions of iterative functions to solve nonlinear equations
title_sort Geometric constructions of iterative functions to solve nonlinear equations
dc.creator.none.fl_str_mv Amat, S. [0000-0002-9954-5240]
Busquier, S. [0000-0003-0910-2030]
Gutiérrez, J.M. [0000-0002-0434-7250]
author Amat, S. [0000-0002-9954-5240]
author_facet Amat, S. [0000-0002-9954-5240]
Busquier, S. [0000-0003-0910-2030]
Gutiérrez, J.M. [0000-0002-0434-7250]
author_role author
author2 Busquier, S. [0000-0003-0910-2030]
Gutiérrez, J.M. [0000-0002-0434-7250]
author2_role author
author
dc.subject.none.fl_str_mv Iterative methods
Newton's method
Nonlinear equations
topic Iterative methods
Newton's method
Nonlinear equations
description In this paper we present the geometrical interpretation of several iterative methods to solve a nonlinear scalar equation. In addition, we also review the extension to general Banach spaces and some computational aspects of these methods. © 2003 Elsevier B.V. All rights reserved.
publishDate 2003
dc.date.none.fl_str_mv 2003
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc698bb750603269e81d26
url https://investigacion.unirioja.es/documentos/5bbc698bb750603269e81d26
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/S0377-0427(03)00420-5
info:eu-repo/semantics/altIdentifier/pissn/0377-0427
Geometric constructions of iterative functions to solve nonlinear equations, 2003, vol. 157, núm. 1, pág. 197-205
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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instname:Universidad de La Rioja (UR)
instname_str Universidad de La Rioja (UR)
reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
repository.name.fl_str_mv
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