Design of iterative methods with memory for solving nonlinear systems

[EN] In this paper, we design two parametric classes of iterative methods without memory to solve nonlinear systems, whose convergence order is 4 and 7, respectively. From their error equations and to increase the convergence order without performing new functional evaluations, memory is introduced...

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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:10251/204435
Acesso em linha:https://riunet.upv.es/handle/10251/204435
Access Level:acceso abierto
Palavra-chave:Basins of attraction
Dynamical planes
Iterative schemes
Memory schemes
Nonlinear systems
MATEMATICA APLICADA
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spelling Design of iterative methods with memory for solving nonlinear systemsCordero Barbero, Alicia|||0000-0002-7462-9173Garrido-Saez, Neus|||0000-0002-7903-8591Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761Triguero-Navarro, Paula|||0000-0002-7319-9992Basins of attractionDynamical planesIterative schemesMemory schemesNonlinear systemsMATEMATICA APLICADA[EN] In this paper, we design two parametric classes of iterative methods without memory to solve nonlinear systems, whose convergence order is 4 and 7, respectively. From their error equations and to increase the convergence order without performing new functional evaluations, memory is introduced in these families of different forms. That allows us to increase from 4 to 6 the convergence order in the first family and from 7 to 11 in the second one. We perform some numerical experiments with big size systems for confirming the theoretical results and comparing the proposed methods along other known schemes.Ministerio de Ciencia e Innovacion, Grant/Award Number: PGC2018-095896-B-C22; European Union; Universitat Politecnica de Valencia Contrato Predoctoral, Grant/Award Number: PAID-01-20-17John 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 INVESTIGACIONUNIVERSIDAD POLITECNICA DE VALENCIARepositorio Institucional de la Universitat Politècnica de València Riunet20232023-08-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/204435reponame: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 - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2044352026-06-13T07:49:27Z
dc.title.none.fl_str_mv Design of iterative methods with memory for solving nonlinear systems
title Design of iterative methods with memory for solving nonlinear systems
spellingShingle Design of iterative methods with memory for solving nonlinear systems
Cordero Barbero, Alicia|||0000-0002-7462-9173
Basins of attraction
Dynamical planes
Iterative schemes
Memory schemes
Nonlinear systems
MATEMATICA APLICADA
title_short Design of iterative methods with memory for solving nonlinear systems
title_full Design of iterative methods with memory for solving nonlinear systems
title_fullStr Design of iterative methods with memory for solving nonlinear systems
title_full_unstemmed Design of iterative methods with memory for solving nonlinear systems
title_sort Design of iterative methods with memory for solving nonlinear systems
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
UNIVERSIDAD POLITECNICA DE VALENCIA
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Basins of attraction
Dynamical planes
Iterative schemes
Memory schemes
Nonlinear systems
MATEMATICA APLICADA
topic Basins of attraction
Dynamical planes
Iterative schemes
Memory schemes
Nonlinear systems
MATEMATICA APLICADA
description [EN] In this paper, we design two parametric classes of iterative methods without memory to solve nonlinear systems, whose convergence order is 4 and 7, respectively. From their error equations and to increase the convergence order without performing new functional evaluations, memory is introduced in these families of different forms. That allows us to increase from 4 to 6 the convergence order in the first family and from 7 to 11 in the second one. We perform some numerical experiments with big size systems for confirming the theoretical results and comparing the proposed methods along other known schemes.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-08-01
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/10251/204435
url https://riunet.upv.es/handle/10251/204435
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 - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/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 - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/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
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score 15,301603

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