Expanding the applicability of some high order Househölder-like methods

This paper is devoted to the semilocal convergence of a Househölder-like method for nonlinear equations. The method includes many of the studied third order iterative methods. In the present study, we use our new idea of restricted convergence domains leading to smaller γ-parameters, which in turn l...

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Detalles Bibliográficos
Autores: Amat, S. [0000-0002-9954-5240], Argyros, I.K., Hernández-Verón, M.A. [0000-0001-5478-2958], Romero, N. [0000-0002-0653-560X]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
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/5bbc6951b750603269e81904
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6951b750603269e81904
Access Level:acceso abierto
Palabra clave:Banach space
Househölder-like methods
Nonlinear systems of equations
Semilocal convergence
γ-like conditions
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spelling Expanding the applicability of some high order Househölder-like methodsAmat, S. [0000-0002-9954-5240]Argyros, I.K.Hernández-Verón, M.A. [0000-0001-5478-2958]Romero, N. [0000-0002-0653-560X]Banach spaceHousehölder-like methodsNonlinear systems of equationsSemilocal convergenceγ-like conditionsThis paper is devoted to the semilocal convergence of a Househölder-like method for nonlinear equations. The method includes many of the studied third order iterative methods. In the present study, we use our new idea of restricted convergence domains leading to smaller γ-parameters, which in turn lead to the following advantages over earlier works (and under the same computational cost): larger convergence domain; tighter error bounds on the distances involved, and at least as precise information on the location of the solution. © 2017 by the authors.2017info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc6951b750603269e81904reponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.3390/A10020064info:eu-repo/semantics/altIdentifier/wos/WOS:000404542100029info:eu-repo/semantics/altIdentifier/pissn/1999-4893Expanding the applicability of some high order Househölder-like methods, 2017, vol. 10, núm. 2info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc6951b750603269e819042026-06-14T12:47:17Z
dc.title.none.fl_str_mv Expanding the applicability of some high order Househölder-like methods
title Expanding the applicability of some high order Househölder-like methods
spellingShingle Expanding the applicability of some high order Househölder-like methods
Amat, S. [0000-0002-9954-5240]
Banach space
Househölder-like methods
Nonlinear systems of equations
Semilocal convergence
γ-like conditions
title_short Expanding the applicability of some high order Househölder-like methods
title_full Expanding the applicability of some high order Househölder-like methods
title_fullStr Expanding the applicability of some high order Househölder-like methods
title_full_unstemmed Expanding the applicability of some high order Househölder-like methods
title_sort Expanding the applicability of some high order Househölder-like methods
dc.creator.none.fl_str_mv Amat, S. [0000-0002-9954-5240]
Argyros, I.K.
Hernández-Verón, M.A. [0000-0001-5478-2958]
Romero, N. [0000-0002-0653-560X]
author Amat, S. [0000-0002-9954-5240]
author_facet Amat, S. [0000-0002-9954-5240]
Argyros, I.K.
Hernández-Verón, M.A. [0000-0001-5478-2958]
Romero, N. [0000-0002-0653-560X]
author_role author
author2 Argyros, I.K.
Hernández-Verón, M.A. [0000-0001-5478-2958]
Romero, N. [0000-0002-0653-560X]
author2_role author
author
author
dc.subject.none.fl_str_mv Banach space
Househölder-like methods
Nonlinear systems of equations
Semilocal convergence
γ-like conditions
topic Banach space
Househölder-like methods
Nonlinear systems of equations
Semilocal convergence
γ-like conditions
description This paper is devoted to the semilocal convergence of a Househölder-like method for nonlinear equations. The method includes many of the studied third order iterative methods. In the present study, we use our new idea of restricted convergence domains leading to smaller γ-parameters, which in turn lead to the following advantages over earlier works (and under the same computational cost): larger convergence domain; tighter error bounds on the distances involved, and at least as precise information on the location of the solution. © 2017 by the authors.
publishDate 2017
dc.date.none.fl_str_mv 2017
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/5bbc6951b750603269e81904
url https://investigacion.unirioja.es/documentos/5bbc6951b750603269e81904
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3390/A10020064
info:eu-repo/semantics/altIdentifier/wos/WOS:000404542100029
info:eu-repo/semantics/altIdentifier/pissn/1999-4893
Expanding the applicability of some high order Househölder-like methods, 2017, vol. 10, núm. 2
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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score 15,300719

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