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A new efficient parametric family of iterative methods for solving nonlinear systems

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A new efficient parametric family of iterative methods for solving nonlinear systems

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dc.contributor.author Chicharro, Francisco I. es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Garrido-Saez, Neus es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2021-03-17T04:32:05Z
dc.date.available 2021-03-17T04:32:05Z
dc.date.issued 2019-10-03 es_ES
dc.identifier.issn 1023-6198 es_ES
dc.identifier.uri http://hdl.handle.net/10251/163984
dc.description.abstract [EN] A bi-parametric family of iterative schemes for solving nonlinear systems is presented. We prove for any value of parameters the sixth-order of convergence of any members of the class. The efficiency and computational efficiency indices are studied for this family and compared with that of the other known schemes with similar structure. In the numerical section, we solve, after discretizating, the nonlinear boundary problem described by the Fisher's equation. This numerical example confirms the theoretical results and show the performance of the proposed schemes. es_ES
dc.description.sponsorship This research was partially supported by both Ministerio de Ciencia, Innovacion y Universidades and Generalitat Valenciana [grant numbers PGC2018-095896-B-C22 and PROMETEO/2016/089], respectively. The authors would like to thank the anonymous reviewers for their helpful comments and suggestions. es_ES
dc.language Inglés es_ES
dc.publisher Taylor & Francis es_ES
dc.relation.ispartof The Journal of Difference Equations and Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear systems es_ES
dc.subject Iterative methods es_ES
dc.subject Order of convergence es_ES
dc.subject Divided difference operator es_ES
dc.subject Efficiency index es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A new efficient parametric family of iterative methods for solving nonlinear systems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/10236198.2019.1665653 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/ 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.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària es_ES
dc.description.bibliographicCitation Chicharro, FI.; Cordero Barbero, A.; Garrido-Saez, N.; Torregrosa Sánchez, JR. (2019). A new efficient parametric family of iterative methods for solving nonlinear systems. The Journal of Difference Equations and Applications. 25(9-10):1454-1467. https://doi.org/10.1080/10236198.2019.1665653 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1080/10236198.2019.1665653 es_ES
dc.description.upvformatpinicio 1454 es_ES
dc.description.upvformatpfin 1467 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 25 es_ES
dc.description.issue 9-10 es_ES
dc.relation.pasarela S\393516 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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