A new third-order iterative process for solving nonlinear equations.

In this paper, we build up a modification of the Midpoint method, reducing its operational cost without losing its cubical convergence. Then we obtain a semilocal convergence result for this new iterative process and by means of several examples we compare it with other iterative processes.

Detalhes bibliográficos
Autores: Hernández, M.A. [0000-0001-5478-2958], Salanova, M.A.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2001
País:España
Recursos:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc69f3b750603269e82444
Acesso em linha:https://investigacion.unirioja.es/documentos/5bbc69f3b750603269e82444
Access Level:acceso abierto
Palavra-chave:A priori error bounds
Convergence theorem
Multipoint iterations
Nonlinear equations in Banach spaces
Recurrence relations
Third-order method
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spelling A new third-order iterative process for solving nonlinear equations.Hernández, M.A. [0000-0001-5478-2958]Salanova, M.A.A priori error boundsConvergence theoremMultipoint iterationsNonlinear equations in Banach spacesRecurrence relationsThird-order methodIn this paper, we build up a modification of the Midpoint method, reducing its operational cost without losing its cubical convergence. Then we obtain a semilocal convergence result for this new iterative process and by means of several examples we compare it with other iterative processes.2001info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc69f3b750603269e82444reponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1007/S006050170027info:eu-repo/semantics/altIdentifier/wos/WOS:000171090800004info:eu-repo/semantics/altIdentifier/pissn/0026-9255A new third-order iterative process for solving nonlinear equations., 2001, vol. 133, núm. 2, pág. 131-142info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc69f3b750603269e824442026-06-14T12:47:17Z
dc.title.none.fl_str_mv A new third-order iterative process for solving nonlinear equations.
title A new third-order iterative process for solving nonlinear equations.
spellingShingle A new third-order iterative process for solving nonlinear equations.
Hernández, M.A. [0000-0001-5478-2958]
A priori error bounds
Convergence theorem
Multipoint iterations
Nonlinear equations in Banach spaces
Recurrence relations
Third-order method
title_short A new third-order iterative process for solving nonlinear equations.
title_full A new third-order iterative process for solving nonlinear equations.
title_fullStr A new third-order iterative process for solving nonlinear equations.
title_full_unstemmed A new third-order iterative process for solving nonlinear equations.
title_sort A new third-order iterative process for solving nonlinear equations.
dc.creator.none.fl_str_mv Hernández, M.A. [0000-0001-5478-2958]
Salanova, M.A.
author Hernández, M.A. [0000-0001-5478-2958]
author_facet Hernández, M.A. [0000-0001-5478-2958]
Salanova, M.A.
author_role author
author2 Salanova, M.A.
author2_role author
dc.subject.none.fl_str_mv A priori error bounds
Convergence theorem
Multipoint iterations
Nonlinear equations in Banach spaces
Recurrence relations
Third-order method
topic A priori error bounds
Convergence theorem
Multipoint iterations
Nonlinear equations in Banach spaces
Recurrence relations
Third-order method
description In this paper, we build up a modification of the Midpoint method, reducing its operational cost without losing its cubical convergence. Then we obtain a semilocal convergence result for this new iterative process and by means of several examples we compare it with other iterative processes.
publishDate 2001
dc.date.none.fl_str_mv 2001
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/5bbc69f3b750603269e82444
url https://investigacion.unirioja.es/documentos/5bbc69f3b750603269e82444
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/S006050170027
info:eu-repo/semantics/altIdentifier/wos/WOS:000171090800004
info:eu-repo/semantics/altIdentifier/pissn/0026-9255
A new third-order iterative process for solving nonlinear equations., 2001, vol. 133, núm. 2, pág. 131-142
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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