Expanding the aplicability of secant method with applications

dc.contributor.author	Magreñán, Á. Alberto
dc.contributor.author	Argyros, Ioannis K
dc.date	2015-05
dc.date.accessioned	2017-10-07T11:38:48Z
dc.date.available	2017-10-07T11:38:48Z
dc.identifier.issn	1015-8634
dc.identifier.uri	https://reunir.unir.net/handle/123456789/5673
dc.description.abstract	We present new sufficient convergence criteria for the convergence of the secant-method to a locally unique solution of a nonlinear equation in a Banach space. Our idea uses Lipschitz and center Lipschitz instead of just Lipschitz conditions in the convergence analysis. The new convergence criteria can always be weaker than the corresponding ones in earlier studies. Numerical examples are also provided in this study to solve equations in cases not possible before.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Bulletin of the Korean Mathematical Society	es_ES
dc.relation.ispartofseries	;vol. 52, nº 3
dc.relation.uri	http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1BMAX_2015_v52n3_865	es_ES
dc.rights	openAccess	es_ES
dc.subject	secant method	es_ES
dc.subject	banach space	es_ES
dc.subject	majorizing sequence	es_ES
dc.subject	divided difference	es_ES
dc.subject	Frechet derivative	es_ES
dc.subject	JCR	es_ES
dc.subject	Scopus	es_ES
dc.title	Expanding the aplicability of secant method with applications	es_ES
dc.type	Articulo Revista Indexada	es_ES
reunir.tag	~ARI	es_ES
dc.identifier.doi	http://dx.doi.org/10.4134/BKMS.2015.52.3.865

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