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dc.contributor.author | Cordero Barbero, Alicia | es_ES |
dc.contributor.author | Lotfi, Taher | es_ES |
dc.contributor.author | Torregrosa Sánchez, Juan Ramón | es_ES |
dc.contributor.author | Assari, Paria | es_ES |
dc.contributor.author | Mahdiani, Katayoun | es_ES |
dc.date.accessioned | 2017-07-10T08:29:11Z | |
dc.date.available | 2017-07-10T08:29:11Z | |
dc.date.issued | 2016-04 | |
dc.identifier.issn | 0101-8205 | |
dc.identifier.uri | http://hdl.handle.net/10251/84807 | |
dc.description.abstract | In this work, we extract some new and efficient two-point methods with memory from their corresponding optimal methods without memory, to estimate simple roots of a given nonlinear equation. Applying two accelerator parameters in each iteration, we try to increase the convergence order from four to seven without any new functional evaluation. To this end, firstly we modify three optimal methods without memory in such a way that we could generate methods with memory as efficient as possible. Then, convergence analysis is put forward. Finally, the applicability of the developed methods on some numerical examples is examined and illustrated by means of dynamical tools, both in smooth and in nonsmooth functions. | es_ES |
dc.description.sponsorship | The authors thank to the anonymous referees for their suggestions to improve the final version of the paper. The second author would like to thank Hamedan Brach of Islamic Azad University for partial financial support in this research. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Springer Verlag (Germany) | es_ES |
dc.relation.ispartof | Computational and Applied Mathematics | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Multi-point iterative methods | es_ES |
dc.subject | With and without memory methods | es_ES |
dc.subject | Kung and Traub's conjecture | es_ES |
dc.subject | Efficiency index | es_ES |
dc.subject | Dynamical plane | es_ES |
dc.subject | Basin of attraction | es_ES |
dc.subject | Derivative-free method | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Some new bi-accelerator two-point methods for solving nonlinear equations | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s40314-014-0192-1 | |
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.; Lotfi, T.; Torregrosa Sánchez, JR.; Assari, P.; Mahdiani, K. (2016). Some new bi-accelerator two-point methods for solving nonlinear equations. Computational and Applied Mathematics. 35(1):251-267. doi:10.1007/s40314-014-0192-1 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1007/s40314-014-0192-1 | es_ES |
dc.description.upvformatpinicio | 251 | es_ES |
dc.description.upvformatpfin | 267 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 35 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.senia | 316642 | es_ES |
dc.contributor.funder | Islamic Azad University, Hamedan | es_ES |
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