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Local convergence of a family of iterative methods for Hammerstein equations

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Local convergence of a family of iterative methods for Hammerstein equations

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dc.contributor.author Martínez Molada, Eulalia es_ES
dc.contributor.author Singh, Sukhjit es_ES
dc.contributor.author Hueso Pagoaga, José Luís es_ES
dc.contributor.author Gupta, D.K. es_ES
dc.date.accessioned 2018-03-23T13:28:12Z
dc.date.available 2018-03-23T13:28:12Z
dc.date.issued 2016 es_ES
dc.identifier.issn 0259-9791 es_ES
dc.identifier.uri http://hdl.handle.net/10251/99664
dc.description.abstract [EN] In this paper we give a local convergence result for a uniparametric family of iterative methods for nonlinear equations in Banach spaces. We assume boundedness conditions involving only the first Fr,chet derivative, instead of using boundedness conditions for high order derivatives as it is usual in studies of semilocal convergence, which is a drawback for solving some practical problems. The existence and uniqueness theorem that establishes the convergence balls of these methods is obtained. We apply this theory to different examples, including a nonlinear Hammerstein equation that have many applications in chemistry and appears in problems of electro-magnetic fluid dynamics or in the kinetic theory of gases. With these examples we illustrate the advantages of these results. The global convergence of the method is addressed by analysing the behaviour of the methods on complex polynomials of second degree. es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia y Tecnologia MTM2014-52016-C2-02. es_ES
dc.description.sponsorship This research was supported by Ministerio de Ciencia y Tecnología MTM2014-52016-C2-02.
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Journal of Mathematical Chemistry 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 Local convergence es_ES
dc.subject Complex dynamics es_ES
dc.subject Hammerstein equation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Local convergence of a family of iterative methods for Hammerstein equations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10910-016-0602-2 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.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 Martínez Molada, E.; Singh, S.; Hueso Pagoaga, JL.; Gupta, D. (2016). Local convergence of a family of iterative methods for Hammerstein equations. Journal of Mathematical Chemistry. 54(7):1370-1386. https://doi.org/10.1007/s10910-016-0602-2 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s10910-016-0602-2 es_ES
dc.description.upvformatpinicio 1370 es_ES
dc.description.upvformatpfin 1386 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 54 es_ES
dc.description.issue 7 es_ES
dc.relation.pasarela S\327219 es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
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