Improving the domain of parameters for Newton's method with applications

dc.contributor.author	Argyros, Ioannis K
dc.contributor.author	Magreñán, Á. Alberto
dc.contributor.author	Sicilia, Juan Antonio
dc.date	2017-07
dc.date.accessioned	2017-08-07T12:32:13Z
dc.date.available	2017-08-07T12:32:13Z
dc.identifier.issn	1879-1778
dc.identifier.uri	https://reunir.unir.net/handle/123456789/5327
dc.description.abstract	We present a new technique to improve the convergence domain for Newton’s method both in the semilocal and local case. It turns out that with the new technique the sufficient convergence conditions for Newton’s method are weaker, the error bounds are tighter and the information on the location of the solution is at least as precise as in earlier studies. Numerical examples are given showing that our results apply to solve nonlinear equations in cases where the old results cannot apply.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Journal of Computational and Applied Mathematics	es_ES
dc.relation.ispartofseries	;vol. 318
dc.relation.uri	http://www.sciencedirect.com/science/article/pii/S0377042716305520	es_ES
dc.rights	closedAccess	es_ES
dc.subject	banach space	es_ES
dc.subject	majorizing sequence	es_ES
dc.subject	local/semilocal convergence	es_ES
dc.subject	domain of parameters	es_ES
dc.subject	JCR	es_ES
dc.subject	Scopus	es_ES
dc.title	Improving the domain of parameters for Newton's method with applications	es_ES
dc.type	Articulo Revista Indexada	es_ES
reunir.tag	~ARI	es_ES
dc.identifier.doi	https://doi.org/10.1016/j.cam.2016.11.019

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