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On generalization based on Bi et al. Iterative methods with eighth-order convergence for solving nonlinear equations

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On generalization based on Bi et al. Iterative methods with eighth-order convergence for solving nonlinear equations

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dc.contributor.author Lotfi, Taher es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.contributor.author Abadi, Morteza Amir es_ES
dc.contributor.author Zadeh, Maryam Mohammadi es_ES
dc.date.accessioned 2015-10-19T11:31:04Z
dc.date.available 2015-10-19T11:31:04Z
dc.date.issued 2014
dc.identifier.issn 2356-6140
dc.identifier.uri http://hdl.handle.net/10251/56204
dc.description.abstract The primary goal of this work is to provide a general optimal three-step class of iterative methods based on the schemes designed by Bi et al. (2009). Accordingly, it requires four functional evaluations per iteration with eighth-order convergence. Consequently, it satisfies Kung and Traub's conjecture relevant to construction optimal methods without memory. Moreover, some concrete methods of this class are shown and implemented numerically, showing their applicability and efficiency. es_ES
dc.description.sponsorship The authors thank the anonymous referees for their valuable comments and for the suggestions to improve the readability of the paper. This research was supported by Islamic Azad University, Hamedan Branch, and Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02. en_EN
dc.language Inglés es_ES
dc.publisher Hindawi Publishing Corporation es_ES
dc.relation Islamic Azad University, Hamedan Branch es_ES
dc.relation Ministerio de Ciencia y Tecnología MTM2011-28636-C02-02 es_ES
dc.relation.ispartof The Scientific World Journal es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Optimal order es_ES
dc.subject Eight-order es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On generalization based on Bi et al. Iterative methods with eighth-order convergence for solving nonlinear equations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2014/272949
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 Lotfi, T.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Abadi, MA.; Zadeh, MM. (2014). On generalization based on Bi et al. Iterative methods with eighth-order convergence for solving nonlinear equations. The Scientific World Journal. 2014. doi:10.1155/2014/272949 es_ES
dc.description.accrualMethod Senia es_ES
dc.relation.publisherversion http://dx.doi.org/10.1155/2014/272949 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2014 es_ES
dc.relation.senia 269009 es_ES
dc.identifier.eissn 1537-744X
dc.identifier.pmid 24563629 en_EN
dc.identifier.pmcid PMC3916023 en_EN


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