A new fourth-order family for solving nonlinear problems and its dynamics

dc.contributor.author	Cordero, Alicia
dc.contributor.author	Feng, Licheng
dc.contributor.author	Magreñán, Á. Alberto
dc.contributor.author	Torregrosa, Juan Ramón
dc.date	2015-03
dc.date.accessioned	2017-10-04T20:42:47Z
dc.date.available	2017-10-04T20:42:47Z
dc.identifier.issn	1572-8897
dc.identifier.uri	https://reunir.unir.net/handle/123456789/5642
dc.description.abstract	In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made in order to choose those elements of the family with better conditions of stability. These results are checked by solving the nonlinear system that arises from the partial differential equation of molecular interaction.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Journal of Mathematical Chemistry	es_ES
dc.relation.ispartofseries	;vol. 53, nº 3
dc.relation.uri	https://link.springer.com/article/10.1007%2Fs10910-014-0464-4	es_ES
dc.rights	restrictedAccess	es_ES
dc.subject	nonlinear systems	es_ES
dc.subject	iterative methods	es_ES
dc.subject	complex dynamics	es_ES
dc.subject	parameter space	es_ES
dc.subject	basins of attraction	es_ES
dc.subject	stability	es_ES
dc.subject	JCR	es_ES
dc.subject	Scopus	es_ES
dc.title	A new fourth-order family for solving nonlinear problems and its dynamics	es_ES
dc.type	Articulo Revista Indexada	es_ES
reunir.tag	~ARI	es_ES
dc.identifier.doi	http://dx.doi.org/10.1007/s10910-014-0464-4

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