On a characterization of some Newton-like methds of R-order at least three.

In this paper, we extend to Banach spaces the result given by Gander in (Amer. Math. Monthly 92 (1985) 131) to obtain a characterization of Newton-like iterative process with R-order of convergence at least three. To do this, we consider the construction and the study of the semilocal convergence of...

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Detalles Bibliográficos
Autores: Hernández, M.A. [0000-0001-5478-2958], Romero, N. [0000-0002-0653-560X]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc69f9b750603269e824b8
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc69f9b750603269e824b8
Access Level:acceso abierto
Palabra clave:Iterative processes
R-order of convergence
Semilocal convergence
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spelling On a characterization of some Newton-like methds of R-order at least three.Hernández, M.A. [0000-0001-5478-2958]Romero, N. [0000-0002-0653-560X]Iterative processesR-order of convergenceSemilocal convergenceIn this paper, we extend to Banach spaces the result given by Gander in (Amer. Math. Monthly 92 (1985) 131) to obtain a characterization of Newton-like iterative process with R-order of convergence at least three. To do this, we consider the construction and the study of the semilocal convergence of a multiparametric family of iterative processes in Banach spaces for solving the nonlinear equation F (x) = 0. © 2005 Elsevier B.V. All rights reserved.2005info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc69f9b750603269e824b8reponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/J.CAM.2005.01.001info:eu-repo/semantics/altIdentifier/wos/WOS:000230980800004info:eu-repo/semantics/altIdentifier/pissn/0377-0427On a characterization of some Newton-like methds of R-order at least three., 2005, vol. 183, núm. 1, pág. 53-66info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc69f9b750603269e824b82026-06-14T12:47:17Z
dc.title.none.fl_str_mv On a characterization of some Newton-like methds of R-order at least three.
title On a characterization of some Newton-like methds of R-order at least three.
spellingShingle On a characterization of some Newton-like methds of R-order at least three.
Hernández, M.A. [0000-0001-5478-2958]
Iterative processes
R-order of convergence
Semilocal convergence
title_short On a characterization of some Newton-like methds of R-order at least three.
title_full On a characterization of some Newton-like methds of R-order at least three.
title_fullStr On a characterization of some Newton-like methds of R-order at least three.
title_full_unstemmed On a characterization of some Newton-like methds of R-order at least three.
title_sort On a characterization of some Newton-like methds of R-order at least three.
dc.creator.none.fl_str_mv Hernández, M.A. [0000-0001-5478-2958]
Romero, N. [0000-0002-0653-560X]
author Hernández, M.A. [0000-0001-5478-2958]
author_facet Hernández, M.A. [0000-0001-5478-2958]
Romero, N. [0000-0002-0653-560X]
author_role author
author2 Romero, N. [0000-0002-0653-560X]
author2_role author
dc.subject.none.fl_str_mv Iterative processes
R-order of convergence
Semilocal convergence
topic Iterative processes
R-order of convergence
Semilocal convergence
description In this paper, we extend to Banach spaces the result given by Gander in (Amer. Math. Monthly 92 (1985) 131) to obtain a characterization of Newton-like iterative process with R-order of convergence at least three. To do this, we consider the construction and the study of the semilocal convergence of a multiparametric family of iterative processes in Banach spaces for solving the nonlinear equation F (x) = 0. © 2005 Elsevier B.V. All rights reserved.
publishDate 2005
dc.date.none.fl_str_mv 2005
dc.type.none.fl_str_mv info:eu-repo/semantics/article
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info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc69f9b750603269e824b8
url https://investigacion.unirioja.es/documentos/5bbc69f9b750603269e824b8
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/J.CAM.2005.01.001
info:eu-repo/semantics/altIdentifier/wos/WOS:000230980800004
info:eu-repo/semantics/altIdentifier/pissn/0377-0427
On a characterization of some Newton-like methds of R-order at least three., 2005, vol. 183, núm. 1, pág. 53-66
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
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