Study of local convergence and dynamics of a king-like two-step method with applications

dc.creatorArgyros, Ioannis K
dc.creatorMagreñán, Á. Alberto
dc.creatorMoysi, Alejandro
dc.creatorSarría, Íñigo (1)
dc.creatorSicilia, Juan Antonio (1)
dc.date.accessioned2020-09-24T06:57:15Z
dc.date.accessioned2023-03-07T19:28:39Z
dc.date.available2020-09-24T06:57:15Z
dc.date.available2023-03-07T19:28:39Z
dc.date.created2020-09-24T06:57:15Z
dc.identifier22277390
dc.identifierhttps://reunir.unir.net/handle/123456789/10612
dc.identifierhttps://doi.org/10.3390/math8071062
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5904947
dc.description.abstractIn this paper, we present the local results of the convergence of the two-step King-like method to approximate the solution of nonlinear equations. In this study, we only apply conditions to the first derivative, because we only need this condition to guarantee convergence. As a result, the applicability of the method is expanded. We also use different convergence planes to show family behavior. Finally, the new results are used to solve some applications related to chemistry.
dc.languageeng
dc.publisherMathematics
dc.relation;vol. 8, nº 7
dc.relationhttps://www.mdpi.com/2227-7390/8/7/1062
dc.rightsopenAccess
dc.subjectking-like iterative methods
dc.subjectlocal convergence
dc.subjectlipschitz conditions
dc.subjectdynamics
dc.subjectScopus
dc.subjectJCR
dc.titleStudy of local convergence and dynamics of a king-like two-step method with applications
dc.typeArticulo Revista Indexada


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