Optimal high-order methods for solving nonlinear equations

A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical tests are made in order to confirm the theoretical results and to compare th...

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Autores: Artidiello Moreno, Santiago de Jesús, Penkova Vassileva, María, Cordero Barbero, Alicia|||0000-0002-7462-9173, Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/55803
Acceso en línea:https://riunet.upv.es/handle/10251/55803
Access Level:acceso abierto
Palabra clave:4th-order iterative methods
Newton&apos
s method
Convergence
MATEMATICA APLICADA
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spelling Optimal high-order methods for solving nonlinear equationsArtidiello Moreno, Santiago de JesúsPenkova Vassileva, MaríaCordero Barbero, Alicia|||0000-0002-7462-9173Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-07614th-order iterative methodsNewton&aposs methodConvergenceMATEMATICA APLICADAA class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical tests are made in order to confirm the theoretical results and to compare the new methods with other known ones.This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and FONDOCYT 2011-1-B1-33 Republica Dominicana.Hindawi Publishing CorporationEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaInstituto Universitario de Matemática MultidisciplinarMinisterio de Ciencia e InnovaciónFondo Nacional de Innovación y Desarrollo Científico y Tecnológico, República DominicanaRepositorio Institucional de la Universitat Politècnica de València Riunet20142014-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/55803reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2011-28636-C02-02 DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALESFondo Nacional de Innovación y Desarrollo Científico y Tecnológico, República Dominicana FONDOCYT 2011-1-B1-33open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/558032026-06-13T07:49:27Z
dc.title.none.fl_str_mv Optimal high-order methods for solving nonlinear equations
title Optimal high-order methods for solving nonlinear equations
spellingShingle Optimal high-order methods for solving nonlinear equations
Artidiello Moreno, Santiago de Jesús
4th-order iterative methods
Newton&apos
s method
Convergence
MATEMATICA APLICADA
title_short Optimal high-order methods for solving nonlinear equations
title_full Optimal high-order methods for solving nonlinear equations
title_fullStr Optimal high-order methods for solving nonlinear equations
title_full_unstemmed Optimal high-order methods for solving nonlinear equations
title_sort Optimal high-order methods for solving nonlinear equations
dc.creator.none.fl_str_mv Artidiello Moreno, Santiago de Jesús
Penkova Vassileva, María
Cordero Barbero, Alicia|||0000-0002-7462-9173
Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761
author Artidiello Moreno, Santiago de Jesús
author_facet Artidiello Moreno, Santiago de Jesús
Penkova Vassileva, María
Cordero Barbero, Alicia|||0000-0002-7462-9173
Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761
author_role author
author2 Penkova Vassileva, María
Cordero Barbero, Alicia|||0000-0002-7462-9173
Torregrosa Sánchez, Juan Ramón|||0000-0002-9893-0761
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
Ministerio de Ciencia e Innovación
Fondo Nacional de Innovación y Desarrollo Científico y Tecnológico, República Dominicana
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv 4th-order iterative methods
Newton&apos
s method
Convergence
MATEMATICA APLICADA
topic 4th-order iterative methods
Newton&apos
s method
Convergence
MATEMATICA APLICADA
description A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical tests are made in order to confirm the theoretical results and to compare the new methods with other known ones.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01
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/10251/55803
url https://riunet.upv.es/handle/10251/55803
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2011-28636-C02-02 DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES
Fondo Nacional de Innovación y Desarrollo Científico y Tecnológico, República Dominicana FONDOCYT 2011-1-B1-33
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/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 (by)
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
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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