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A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence

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A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Kansal, Munish es_ES
dc.contributor.author Kanwar, Vinay es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2018-07-06T07:14:16Z
dc.date.available 2018-07-06T07:14:16Z
dc.date.issued 2016 es_ES
dc.identifier.issn 1017-1398 es_ES
dc.identifier.uri http://hdl.handle.net/10251/105391
dc.description.abstract [EN] In this paper, we present a uniparametric family of modified Chebyshev-Halley type methods with optimal eighth-order of convergence. In terms of computational cost, each member of the family requires only four functional evaluations per step, and hence is optimal in the sense of Kung-Traub conjecture. Moreover, in order to have additional information to choose some elements of the class, in particular some stable enough, we use complex dynamics tools to analyze their stability. Then, some ranges of values of the parameter are found to be avoided but we show that the region of stable members of this family is vast. It is found by way of illustration that these proposed methods are very useful in high precision computations. es_ES
dc.description.sponsorship This research was partially supported by Ministerio de Economía y Competitividad MTM2014-52016-C2-2-P.
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 equations es_ES
dc.subject Optimal iterative schemes es_ES
dc.subject Newton method es_ES
dc.subject Chebyshev-Halley scheme es_ES
dc.subject Efficiency index es_ES
dc.subject Complex dynamics es_ES
dc.subject Stability functions es_ES
dc.subject Dynamical planes es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11075-015-0075-6 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 Cerrado 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.; Kansal, M.; Kanwar, V.; Torregrosa Sánchez, JR. (2016). A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence. Numerical Algorithms. 72(4):937-958. https://doi.org/10.1007/s11075-015-0075-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s11075-015-0075-6 es_ES
dc.description.upvformatpinicio 937 es_ES
dc.description.upvformatpfin 958 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 72 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\316656 es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
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