Extending the domain of starting points for Newton's method under conditions on the second derivative

dc.contributor.advisor	Scopus	es_ES
dc.contributor.author	Argyros, Ioannis K
dc.contributor.author	Ezquerro, J A
dc.contributor.author	Hernández-Verón, M A
dc.contributor.author	Magreñán, Á. Alberto
dc.date	2018-10
dc.date.accessioned	2019-01-25T09:02:47Z
dc.date.available	2019-01-25T09:02:47Z
dc.identifier.issn	1879-1778
dc.identifier.uri	https://reunir.unir.net/handle/123456789/7696
dc.description.abstract	In this paper, we propose a center Lipschitz condition for the second Frechet derivative together with the use of restricted domains in order to improve the domain of starting points for Newton's method. In addition, we compare the new result with an older one and see that the former improves the latter. (C) 2018 Elsevier B.V. All rights reserved.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Journal of Computational and Applied Mathematics	es_ES
dc.relation.ispartofseries	;vol. 340
dc.relation.uri	https://www.sciencedirect.com/science/article/pii/S0377042718300530?via%3Dihub	es_ES
dc.rights	restrictedAccess	es_ES
dc.subject	Newton's method	es_ES
dc.subject	restricted domain	es_ES
dc.subject	majorizing sequence	es_ES
dc.subject	semilocal convergence	es_ES
dc.subject	error estimates	es_ES
dc.subject	integral equation	es_ES
dc.subject	JCR	es_ES
dc.title	Extending the domain of starting points for Newton's method under conditions on the second derivative	es_ES
dc.type	Articulo Revista Indexada	es_ES
reunir.tag	~ARI	es_ES
dc.identifier.doi	https://doi.org/10.1016/j.cam.2018.01.024

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