On the R-order of the Halley method

An R-order bound for the Halley method is obtained in this work, where an analysis of the convergence of the method is also presented under mild differentiability conditions. To do this, a new technique is developed, where the involved operator must satisfy some recurrence relations. © 2004 Elsevier...

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Detalles Bibliográficos
Autores: Ezquerro, J.A. [0000-0001-8120-167X], Hernández, M.A. [0000-0001-5478-2958]
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/5bbc69f8b750603269e824ac
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc69f8b750603269e824ac
Access Level:acceso abierto
Palabra clave:A priori error estimates
Halley's method
Nonlinear equations in Banach spaces
R-order of convergence
Recurrence relations
Semilocal convergence theorem
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spelling On the R-order of the Halley methodEzquerro, J.A. [0000-0001-8120-167X]Hernández, M.A. [0000-0001-5478-2958]A priori error estimatesHalley's methodNonlinear equations in Banach spacesR-order of convergenceRecurrence relationsSemilocal convergence theoremAn R-order bound for the Halley method is obtained in this work, where an analysis of the convergence of the method is also presented under mild differentiability conditions. To do this, a new technique is developed, where the involved operator must satisfy some recurrence relations. © 2004 Elsevier Inc. All rights reserved.2005info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc69f8b750603269e824acreponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/J.JMAA.2004.08.057info:eu-repo/semantics/altIdentifier/wos/WOS:000227390200021info:eu-repo/semantics/altIdentifier/pissn/0022-247XOn the R-order of the Halley method, 2005, vol. 303, núm. 2, pág. 591-601info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc69f8b750603269e824ac2026-06-14T12:47:17Z
dc.title.none.fl_str_mv On the R-order of the Halley method
title On the R-order of the Halley method
spellingShingle On the R-order of the Halley method
Ezquerro, J.A. [0000-0001-8120-167X]
A priori error estimates
Halley's method
Nonlinear equations in Banach spaces
R-order of convergence
Recurrence relations
Semilocal convergence theorem
title_short On the R-order of the Halley method
title_full On the R-order of the Halley method
title_fullStr On the R-order of the Halley method
title_full_unstemmed On the R-order of the Halley method
title_sort On the R-order of the Halley method
dc.creator.none.fl_str_mv Ezquerro, J.A. [0000-0001-8120-167X]
Hernández, M.A. [0000-0001-5478-2958]
author Ezquerro, J.A. [0000-0001-8120-167X]
author_facet Ezquerro, J.A. [0000-0001-8120-167X]
Hernández, M.A. [0000-0001-5478-2958]
author_role author
author2 Hernández, M.A. [0000-0001-5478-2958]
author2_role author
dc.subject.none.fl_str_mv A priori error estimates
Halley's method
Nonlinear equations in Banach spaces
R-order of convergence
Recurrence relations
Semilocal convergence theorem
topic A priori error estimates
Halley's method
Nonlinear equations in Banach spaces
R-order of convergence
Recurrence relations
Semilocal convergence theorem
description An R-order bound for the Halley method is obtained in this work, where an analysis of the convergence of the method is also presented under mild differentiability conditions. To do this, a new technique is developed, where the involved operator must satisfy some recurrence relations. © 2004 Elsevier Inc. All rights reserved.
publishDate 2005
dc.date.none.fl_str_mv 2005
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/5bbc69f8b750603269e824ac
url https://investigacion.unirioja.es/documentos/5bbc69f8b750603269e824ac
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.JMAA.2004.08.057
info:eu-repo/semantics/altIdentifier/wos/WOS:000227390200021
info:eu-repo/semantics/altIdentifier/pissn/0022-247X
On the R-order of the Halley method, 2005, vol. 303, núm. 2, pág. 591-601
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:RIUR. Repositorio Institucional de la Universidad de La Rioja
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
repository.mail.fl_str_mv
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