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Solving nonlinear problems by Ostrowski Chun type parametric families

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Solving nonlinear problems by Ostrowski Chun type parametric families

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Maimo, J.G. es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.contributor.author Vassileva, M.P. es_ES
dc.date.accessioned 2016-06-23T06:36:47Z
dc.date.available 2016-06-23T06:36:47Z
dc.date.issued 2015-01
dc.identifier.issn 0259-9791
dc.identifier.uri http://hdl.handle.net/10251/66349
dc.description.abstract In this paper, by using a generalization of Ostrowski' and Chun's methods two bi-parametric families of predictor-corrector iterative schemes, with order of convergence four for solving system of nonlinear equations, are presented. The predictor of the first family is Newton's method, and the predictor of the second one is Steffensen's scheme. One of them is extended to the multidimensional case. Some numerical tests are performed to compare proposed methods with existing ones and to confirm the theoretical results. We check the obtained results by solving the molecular interaction problem. es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and FONDOCYT, Republica Dominicana. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Journal of Mathematical Chemistry es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Iterative schemes es_ES
dc.subject Nonlinear equation es_ES
dc.subject System of nonlinear equations es_ES
dc.subject Divided differences es_ES
dc.subject Optimal es_ES
dc.subject Efficiency index es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Solving nonlinear problems by Ostrowski Chun type parametric families es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10910-014-0432-z
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-02/ES/DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES/ 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.; Maimo, J.; Torregrosa Sánchez, JR.; Vassileva, M. (2015). Solving nonlinear problems by Ostrowski Chun type parametric families. Journal of Mathematical Chemistry. 53(1):430-449. https://doi.org/10.1007/s10910-014-0432-z es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s10910-014-0432-z es_ES
dc.description.upvformatpinicio 430 es_ES
dc.description.upvformatpfin 449 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 53 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 291950 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Fondo Nacional de Innovación y Desarrollo Científico y Tecnológico, República Dominicana es_ES
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