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A highly efficient class of optimal fourth-order methods for solving nonlinear systems

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A highly efficient class of optimal fourth-order methods for solving nonlinear systems

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Rojas-Hiciano, Renso V. es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.contributor.author Vassileva, María P. es_ES
dc.date.accessioned 2024-05-20T18:08:48Z
dc.date.available 2024-05-20T18:08:48Z
dc.date.issued 2024-04 es_ES
dc.identifier.issn 1017-1398 es_ES
dc.identifier.uri http://hdl.handle.net/10251/204299
dc.description.abstract [EN] In this manuscript, we present a new class of highly efficient two-parameter optimal iterative methods for solving nonlinear systems that generalizes Ostrowski's method, King's Family, Chun's method, and KLAM Family in multidimensional context. This class is an extension to systems of the Ermakov's Hyperfamily. The fourth order of convergence of the members of the class is demonstrated, thus obtaining optimal schemes for solving nonlinear systems. The high efficiency of the elements of the class is studied, compared with other known methods of the same order or even higher, and some numerical proofs are presented. We also analyze its robustness. es_ES
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 methods es_ES
dc.subject Ermakov's hyperfamily es_ES
dc.subject Dynamical analysis es_ES
dc.subject Stability es_ES
dc.subject Order of convergence es_ES
dc.subject Optimal method for systems es_ES
dc.subject Highly efficient methods es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A highly efficient class of optimal fourth-order methods for solving nonlinear systems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11075-023-01631-9 es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació es_ES
dc.description.bibliographicCitation Cordero Barbero, A.; Rojas-Hiciano, RV.; Torregrosa Sánchez, JR.; Vassileva, MP. (2024). A highly efficient class of optimal fourth-order methods for solving nonlinear systems. Numerical Algorithms. 95(4):1879-1904. https://doi.org/10.1007/s11075-023-01631-9 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s11075-023-01631-9 es_ES
dc.description.upvformatpinicio 1879 es_ES
dc.description.upvformatpfin 1904 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 95 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\513178 es_ES


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