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

dc.contributor.author	Argyros, Ioannis K
dc.contributor.author	Magreñán, Á. Alberto
dc.contributor.author	Moysi, Alejandro
dc.contributor.author	Sarría, Íñigo
dc.contributor.author	Sicilia, Juan Antonio
dc.date	2020-07-01
dc.date.accessioned	2020-09-24T06:57:15Z
dc.date.available	2020-09-24T06:57:15Z
dc.identifier.issn	22277390
dc.identifier.uri	https://reunir.unir.net/handle/123456789/10612
dc.description.abstract	In 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.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Mathematics	es_ES
dc.relation.ispartofseries	;vol. 8, nº 7
dc.relation.uri	https://www.mdpi.com/2227-7390/8/7/1062	es_ES
dc.rights	openAccess	es_ES
dc.subject	king-like iterative methods	es_ES
dc.subject	local convergence	es_ES
dc.subject	lipschitz conditions	es_ES
dc.subject	dynamics	es_ES
dc.subject	Scopus	es_ES
dc.subject	JCR	es_ES
dc.title	Study of local convergence and dynamics of a king-like two-step method with applications	es_ES
dc.type	Articulo Revista Indexada	es_ES
reunir.tag	~ARI	es_ES
dc.identifier.doi	https://doi.org/10.3390/math8071062

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