Memory in the iterative processes for nonlinear problems

[EN] In this paper, we study different ways for introducing memory to a parametric family of optimal two-step iterative methods. We study the convergence and the stability, by means of real dynamics, of the methods obtained by introducing memory in order to compare them. We also perform several nume...

ver descrição completa

Detalhes bibliográficos
Autores: Cordero Barbero, Alicia|||0000-0002-7462-9173, Garrido-Saez, Neus|||0000-0002-7903-8591, Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761, Triguero-Navarro, Paula|||0000-0002-7319-9992
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/203291
Acesso em linha:https://riunet.upv.es/handle/10251/203291
Access Level:acceso abierto
Palavra-chave:Divided difference
Dynamical planes
Iterative methods
Nonlinear equations
Optimal scheme
Realdynamics
MATEMATICA APLICADA
id ES_a0e2c3a85f5a0a2ebc0de0b78cd51e91
oai_identifier_str oai:riunet.upv.es:10251/203291
network_acronym_str ES
network_name_str España
repository_id_str
spelling Memory in the iterative processes for nonlinear problemsCordero Barbero, Alicia|||0000-0002-7462-9173Garrido-Saez, Neus|||0000-0002-7903-8591Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761Triguero-Navarro, Paula|||0000-0002-7319-9992Divided differenceDynamical planesIterative methodsNonlinear equationsOptimal schemeRealdynamicsMATEMATICA APLICADA[EN] In this paper, we study different ways for introducing memory to a parametric family of optimal two-step iterative methods. We study the convergence and the stability, by means of real dynamics, of the methods obtained by introducing memory in order to compare them. We also perform several numerical experiments to see how the methods behave.This research was partially supported by Grant PGC2018-095896-B-C22 funded by MCIN/AEI/10.13039/5011000113033 by ERDF A way of making Europe,"European Union; this research was partially supported by PAID-01-20-17 (Universitat Politecnica de Valencia).John Wiley & SonsEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaInstituto Universitario de Matemática MultidisciplinarEscuela Técnica Superior de Ingeniería IndustrialEscuela Politécnica Superior de AlcoyAGENCIA ESTATAL DE INVESTIGACIONEuropean Regional Development FundUNIVERSIDAD POLITECNICA DE VALENCIARepositorio Institucional de la Universitat Politècnica de València Riunet20232023-03-15journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/203291reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-095896-B-C22 DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIALUniversitat Politècnica de València https://doi.org/10.13039/501100004233 PAID-01-20-17 Procesos iterativos multidimensionales de altas prestaciones para resolver ecuaciones vectoriales y matriciales no linealesopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial (by-nc) http://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2032912026-06-13T07:49:27Z
dc.title.none.fl_str_mv Memory in the iterative processes for nonlinear problems
title Memory in the iterative processes for nonlinear problems
spellingShingle Memory in the iterative processes for nonlinear problems
Cordero Barbero, Alicia|||0000-0002-7462-9173
Divided difference
Dynamical planes
Iterative methods
Nonlinear equations
Optimal scheme
Realdynamics
MATEMATICA APLICADA
title_short Memory in the iterative processes for nonlinear problems
title_full Memory in the iterative processes for nonlinear problems
title_fullStr Memory in the iterative processes for nonlinear problems
title_full_unstemmed Memory in the iterative processes for nonlinear problems
title_sort Memory in the iterative processes for nonlinear problems
dc.creator.none.fl_str_mv Cordero Barbero, Alicia|||0000-0002-7462-9173
Garrido-Saez, Neus|||0000-0002-7903-8591
Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761
Triguero-Navarro, Paula|||0000-0002-7319-9992
author Cordero Barbero, Alicia|||0000-0002-7462-9173
author_facet Cordero Barbero, Alicia|||0000-0002-7462-9173
Garrido-Saez, Neus|||0000-0002-7903-8591
Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761
Triguero-Navarro, Paula|||0000-0002-7319-9992
author_role author
author2 Garrido-Saez, Neus|||0000-0002-7903-8591
Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761
Triguero-Navarro, Paula|||0000-0002-7319-9992
author2_role author
author
author
dc.contributor.none.fl_str_mv Escuela Técnica Superior de Ingeniería de Telecomunicación
Departamento de Matemática Aplicada
Instituto Universitario de Matemática Multidisciplinar
Escuela Técnica Superior de Ingeniería Industrial
Escuela Politécnica Superior de Alcoy
AGENCIA ESTATAL DE INVESTIGACION
European Regional Development Fund
UNIVERSIDAD POLITECNICA DE VALENCIA
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Divided difference
Dynamical planes
Iterative methods
Nonlinear equations
Optimal scheme
Realdynamics
MATEMATICA APLICADA
topic Divided difference
Dynamical planes
Iterative methods
Nonlinear equations
Optimal scheme
Realdynamics
MATEMATICA APLICADA
description [EN] In this paper, we study different ways for introducing memory to a parametric family of optimal two-step iterative methods. We study the convergence and the stability, by means of real dynamics, of the methods obtained by introducing memory in order to compare them. We also perform several numerical experiments to see how the methods behave.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-03-15
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/203291
url https://riunet.upv.es/handle/10251/203291
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-095896-B-C22 DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL
Universitat Politècnica de València https://doi.org/10.13039/501100004233 PAID-01-20-17 Procesos iterativos multidimensionales de altas prestaciones para resolver ecuaciones vectoriales y matriciales no lineales
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial (by-nc)
http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial (by-nc)
http://creativecommons.org/licenses/by-nc/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv John Wiley & Sons
publisher.none.fl_str_mv John Wiley & Sons
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869415065115951104
score 15.300719

Registos relacionados