Increasing the applicability of Steffensen's method

We present an original alternative to the majorant principle of Kantorovich to study the semilocal convergence of Steffensen's method when it is applied to solve nonlinear systems which are differentiable. This alternative allows choosing starting points from which the convergence of Steffensen...

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Detalles Bibliográficos
Autores: Ezquerro, J.A. [0000-0001-8120-167X], Hernández-Verón, M.A. [0000-0001-5478-2958]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
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/5bbc6a07b750603269e825c1
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6a07b750603269e825c1
Access Level:acceso abierto
Palabra clave:Domain of parameters
Nonlinear system of equations
Semilocal convergence
Steffensen's method
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spelling Increasing the applicability of Steffensen's methodEzquerro, J.A. [0000-0001-8120-167X]Hernández-Verón, M.A. [0000-0001-5478-2958]Domain of parametersNonlinear system of equationsSemilocal convergenceSteffensen's methodWe present an original alternative to the majorant principle of Kantorovich to study the semilocal convergence of Steffensen's method when it is applied to solve nonlinear systems which are differentiable. This alternative allows choosing starting points from which the convergence of Steffensen's method is guaranteed, but it is not from the majorant principle. Moreover, this study extends the applicability of Steffensen's method to the solution of nonlinear systems which are nondifferentiable and improves a previous result given by the authors. © 2014 Elsevier Inc. All rights reserved.2014info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc6a07b750603269e825c1reponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/J.JMAA.2014.04.042info:eu-repo/semantics/altIdentifier/wos/WOS:000336887700031info:eu-repo/semantics/altIdentifier/pissn/0022-247XIncreasing the applicability of Steffensen's method, 2014, vol. 418, núm. 2, pág. 1062-1073info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc6a07b750603269e825c12026-06-14T12:47:17Z
dc.title.none.fl_str_mv Increasing the applicability of Steffensen's method
title Increasing the applicability of Steffensen's method
spellingShingle Increasing the applicability of Steffensen's method
Ezquerro, J.A. [0000-0001-8120-167X]
Domain of parameters
Nonlinear system of equations
Semilocal convergence
Steffensen's method
title_short Increasing the applicability of Steffensen's method
title_full Increasing the applicability of Steffensen's method
title_fullStr Increasing the applicability of Steffensen's method
title_full_unstemmed Increasing the applicability of Steffensen's method
title_sort Increasing the applicability of Steffensen's method
dc.creator.none.fl_str_mv Ezquerro, J.A. [0000-0001-8120-167X]
Hernández-Verón, M.A. [0000-0001-5478-2958]
author Ezquerro, J.A. [0000-0001-8120-167X]
author_facet Ezquerro, J.A. [0000-0001-8120-167X]
Hernández-Verón, M.A. [0000-0001-5478-2958]
author_role author
author2 Hernández-Verón, M.A. [0000-0001-5478-2958]
author2_role author
dc.subject.none.fl_str_mv Domain of parameters
Nonlinear system of equations
Semilocal convergence
Steffensen's method
topic Domain of parameters
Nonlinear system of equations
Semilocal convergence
Steffensen's method
description We present an original alternative to the majorant principle of Kantorovich to study the semilocal convergence of Steffensen's method when it is applied to solve nonlinear systems which are differentiable. This alternative allows choosing starting points from which the convergence of Steffensen's method is guaranteed, but it is not from the majorant principle. Moreover, this study extends the applicability of Steffensen's method to the solution of nonlinear systems which are nondifferentiable and improves a previous result given by the authors. © 2014 Elsevier Inc. All rights reserved.
publishDate 2014
dc.date.none.fl_str_mv 2014
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/5bbc6a07b750603269e825c1
url https://investigacion.unirioja.es/documentos/5bbc6a07b750603269e825c1
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.2014.04.042
info:eu-repo/semantics/altIdentifier/wos/WOS:000336887700031
info:eu-repo/semantics/altIdentifier/pissn/0022-247X
Increasing the applicability of Steffensen's method, 2014, vol. 418, núm. 2, pág. 1062-1073
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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