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...
| Autores: | , , , |
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| 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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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 |
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reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname:Universitat Politècnica de València (UPV) |
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Universitat Politècnica de València (UPV) |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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15,300724 |