Complexity of an Homotopy Method at the Neighbourhood of a Zero

dc.contributor.author	Yakoubsohn, J. C.
dc.contributor.author	Gutierrez, J. M.
dc.contributor.author	Magreñán, Á. Alberto
dc.date	2016
dc.date.accessioned	2020-05-12T06:39:54Z
dc.date.available	2020-05-12T06:39:54Z
dc.identifier.isbn	9783319392288
dc.identifier.issn	2199-3041
dc.identifier.uri	https://reunir.unir.net/handle/123456789/10037
dc.description.abstract	This paper deals with the enlargement of the region of convergence of Newton's method for solving nonlinear equations defined in Banach spaces. We have used an homotopy method to obtain approximate zeros of the considered function. The novelty in our approach is the establishment of new convergence results based on a Lipschitz condition with a L-average for the involved operator. In particular, semilocal convergence results (Kantorovich-type results), as well as local convergence results (gamma-theory) are obtained.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Advances in iterative methods for nonlinear equations	es_ES
dc.relation.ispartofseries	;vol. 10
dc.relation.uri	https://link.springer.com/chapter/10.1007/978-3-319-39228-8_7	es_ES
dc.rights	restrictedAccess	es_ES
dc.subject	convergence	es_ES
dc.subject	equations	es_ES
dc.subject	newtons	es_ES
dc.subject	Scopus(2)	es_ES
dc.subject	WOS(2)	es_ES
dc.title	Complexity of an Homotopy Method at the Neighbourhood of a Zero	es_ES
dc.type	bookPart	es_ES
reunir.tag	~ARI	es_ES
dc.identifier.doi	https://doi.org/10.1007/978-3-319-39228-8_7

Ficheros en el ítem

Ficheros	Tamaño	Formato	Ver
No hay ficheros asociados a este ítem.