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Semilocal convergence of a family of iterative methods in Banach spaces

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Semilocal convergence of a family of iterative methods in Banach spaces

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dc.contributor.author Hueso Pagoaga, José Luís es_ES
dc.contributor.author Martínez Molada, Eulalia es_ES
dc.date.accessioned 2018-03-26T04:07:09Z
dc.date.available 2018-03-26T04:07:09Z
dc.date.issued 2014 es_ES
dc.identifier.issn 1017-1398 es_ES
dc.identifier.uri http://hdl.handle.net/10251/99723
dc.description.abstract [EN] In this work, we prove a third and fourth convergence order result for a family of iterative methods for solving nonlinear systems in Banach spaces. We analyze the semilocal convergence by using recurrence relations, giving the existence and uniqueness theorem that establishes the R-order of the method and the priori error bounds. Finally, we apply the methods to two examples in order to illustrate the presented theory. es_ES
dc.description.sponsorship This work has been supported by Ministerio de Ciencia e Innovaci´on MTM2011-28636-C02-02 and by Vicerrectorado de Investigaci´on. Universitat Polit`ecnica de Val`encia PAID-SP-2012-0498
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Numerical Algorithms es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear systems es_ES
dc.subject Iterative method es_ES
dc.subject Banach space es_ES
dc.subject Recurrence relations es_ES
dc.subject Semilocal convergence es_ES
dc.subject R-order es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Semilocal convergence of a family of iterative methods in Banach spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11075-013-9795-7 es_ES
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.relation.projectID info:eu-repo/grantAgreement/UPV//SP20120498/ 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 Hueso Pagoaga, JL.; Martínez Molada, E. (2014). Semilocal convergence of a family of iterative methods in Banach spaces. Numerical Algorithms. 67(2):365-384. https://doi.org/10.1007/s11075-013-9795-7 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s11075-013-9795-7 es_ES
dc.description.upvformatpinicio 365 es_ES
dc.description.upvformatpfin 384 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 67 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\281819 es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
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