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dc.contributor.authorChicharro, Francisco Israel (1)
dc.contributor.authorCordero, Alicia
dc.contributor.authorGarrido, Neus
dc.contributor.authorTorregrosa, Juan Ramón
dc.date2019-12-05
dc.date.accessioned2019-12-12T08:30:14Z
dc.date.available2019-12-12T08:30:14Z
dc.identifier.citationChicharro, F.I.; Cordero, A.; Garrido, N.; Torregrosa, J.R. Generalized High-Order Classes for Solving Nonlinear Systems and Their Applications. Mathematics 2019, 7, 1194.es_ES
dc.identifier.issn2227-7390
dc.identifier.urihttps://reunir.unir.net/handle/123456789/9624
dc.description.abstractA generalized high-order class for approximating the solution of nonlinear systems of equations is introduced. First, from a fourth-order iterative family for solving nonlinear equations, we propose an extension to nonlinear systems of equations holding the same order of convergence but replacing the Jacobian by a divided difference in the weight functions for systems. The proposed GH family of methods is designed from this fourth-order family using both the composition and the weight functions technique. The resulting family has order of convergence 9. The performance of a particular iterative method of both families is analyzed for solving different test systems and also for the Fisher’s problem, showing the good performance of the new methods.es_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.publisherMathematicses_ES
dc.relation.ispartofseries;vol. 7, nº 1194
dc.relation.urihttps://www.mdpi.com/2227-7390/7/12/1194es_ES
dc.rightsopenAccesses_ES
dc.subjectnonlinear systemses_ES
dc.subjectiterative methodes_ES
dc.subjectconvergencees_ES
dc.subjectefficiencyes_ES
dc.subjectJCRes_ES
dc.titleGeneralized High-Order Classes for Solving Nonlinear Systems and Their Applicationses_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~OPIes_ES
dc.identifier.doihttp://dx.doi.org/10.3390/math7121194


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