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An optimal fourth-order family of methods for multiple roots and its dynamics

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An optimal fourth-order family of methods for multiple roots and its dynamics

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dc.contributor.author Behl, Ramandeep es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Motsa, Sandile S. es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.contributor.author Kanwar, Vinay es_ES
dc.date.accessioned 2018-07-06T04:33:00Z
dc.date.available 2018-07-06T04:33:00Z
dc.date.issued 2016 es_ES
dc.identifier.issn 1017-1398 es_ES
dc.identifier.uri http://hdl.handle.net/10251/105366
dc.description.abstract [EN] There are few optimal fourth-order methods for solving nonlinear equations when the multiplicity m of the required root is known in advance. Therefore, the principle focus of this paper is on developing a new fourth-order optimal family of iterative methods. From the computational point of view, the conjugacy maps and the strange fixed points of some iterative methods are discussed, their basins of attractions are also given to show their dynamical behavior around the multiple roots. Further, using Mathematica with its high precision compatibility, a variety of concrete numerical experiments and relevant results are extensively treated to confirm the theoretical development. es_ES
dc.description.sponsorship This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C02-02.
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 Multiple roots es_ES
dc.subject Chebyshev's method es_ES
dc.subject Schroder method es_ES
dc.subject Basin of attraction es_ES
dc.subject Complex dynamics es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title An optimal fourth-order family of methods for multiple roots and its dynamics es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11075-015-0023-5 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 Behl, R.; Cordero Barbero, A.; Motsa, SS.; Torregrosa Sánchez, JR.; Kanwar, V. (2016). An optimal fourth-order family of methods for multiple roots and its dynamics. Numerical Algorithms. 71(4):775-796. https://doi.org/10.1007/s11075-015-0023-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s11075-015-0023-5 es_ES
dc.description.upvformatpinicio 775 es_ES
dc.description.upvformatpfin 796 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 71 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\316649 es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
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