Improving the Dynamics of Steffensen-type Methods

dc.contributor.author	Amat, Sergio
dc.contributor.author	Busquier, Sonia
dc.contributor.author	Magreñán, Á. Alberto
dc.date	2015
dc.date.accessioned	2018-01-31T16:43:28Z
dc.date.available	2018-01-31T16:43:28Z
dc.identifier.issn	2325-0399
dc.identifier.uri	https://reunir.unir.net/handle/123456789/6246
dc.description.abstract	The dynamics of Steffesen-type methods, using a graphical tool for showing the basins of attraction, is presented. The study includes as particular cases, Steffesen-type modifications of the Newton, the two-steps, the Chebyshev, the Halley and the super– Halley iterative methods. The goal is to show that if we are interesting to preserve the convergence properties we must ensure that the derivatives are well approximated in all iterations.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Applied Mathematics and Information Sciences	es_ES
dc.relation.ispartofseries	;vol. 9, nº 5
dc.relation.uri	http://www.naturalspublishing.com/files/published/595nv565e5xda7.pdf	es_ES
dc.rights	openAccess	es_ES
dc.subject	complex dynamics	es_ES
dc.subject	nonlinear equations	es_ES
dc.subject	iterative methods	es_ES
dc.subject	basins of attraction	es_ES
dc.subject	Scopus	es_ES
dc.title	Improving the Dynamics of Steffensen-type Methods	es_ES
dc.type	Articulo Revista Indexada	es_ES
reunir.tag	~ARI	es_ES
dc.identifier.doi	http://dx.doi.org/10.12785/amis/090523

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