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dc.contributor.author | Cordero Barbero, Alicia | es_ES |
dc.contributor.author | Junjua, Moin-ud-Din | es_ES |
dc.contributor.author | Torregrosa Sánchez, Juan Ramón | es_ES |
dc.contributor.author | Yasmin, Nusrat | es_ES |
dc.contributor.author | Zafar, Fiza | es_ES |
dc.date.accessioned | 2019-09-11T20:01:01Z | |
dc.date.available | 2019-09-11T20:01:01Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 1024-123X | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/125571 | |
dc.description.abstract | [EN] We construct a family of derivative-free optimal iterative methods without memory to approximate a simple zero of a nonlinear function. Error analysis demonstrates that the without-memory class has eighth-order convergence and is extendable to with-memory class. The extension of new family to the with-memory one is also presented which attains the convergence order 15.5156 and a very high efficiency index 15.5156(1/4) approximate to 1.9847. Some particular schemes of the with-memory family are also described. Numerical examples and some dynamical aspects of the new schemes are given to support theoretical results. | es_ES |
dc.description.sponsorship | This research was partially supported by Ministerio de Economia y Competitividad under Grant MTM2014-52016-C2-2-P, Generalitat Valenciana PROMETEO/2016/089, and Schlumberger Foundation, Faculty for the Future Program. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Hindawi Limited | es_ES |
dc.relation.ispartof | Mathematical Problems in Engineering | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1155/2018/8093673 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Cordero Barbero, A.; Junjua, M.; Torregrosa Sánchez, JR.; Yasmin, N.; Zafar, F. (2018). Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices. Mathematical Problems in Engineering. 1-12. https://doi.org/10.1155/2018/8093673 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1155/2018/8093673 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 12 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.relation.pasarela | S\357048 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |