Iterative schemes for finding all roots simultaneously of nonlinear equations

Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón; Triguero-Navarro, Paula

dc.contributor.author	Cordero, Alicia
dc.contributor.author	Garrido, Neus
dc.contributor.author	Torregrosa, Juan Ramón
dc.contributor.author	Triguero-Navarro, Paula
dc.date	2022
dc.date.accessioned	2023-02-16T12:22:52Z
dc.date.available	2023-02-16T12:22:52Z
dc.identifier.citation	Cordero, A., Garrido, N., Torregrosa, J. R., & Triguero-Navarro, P. (2022). Iterative schemes for finding all roots simultaneously of nonlinear equations. Applied Mathematics Letters, 134, 108325.	es_ES
dc.identifier.issn	0893-9659
dc.identifier.uri	https://reunir.unir.net/handle/123456789/14195
dc.description.abstract	In this paper, we propose a procedure that can be added to any iterative scheme in order to turn it into an iterative method for approximating all roots simultaneously of any nonlinear equations. By applying this procedure to any iterative method of order p, we obtain a new scheme of order of convergence 2p. Some numerical tests allow us to confirm the theoretical results and to compare the proposed schemes with other known methods for simultaneous roots of polynomial and non-polynomial functions.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Applied Mathematics Letters	es_ES
dc.relation.ispartofseries	;vol. 134
dc.relation.uri	https://www.sciencedirect.com/science/article/pii/S089396592200235X?via%3Dihub	es_ES
dc.rights	openAccess	es_ES
dc.subject	dynamical plane	es_ES
dc.subject	ehrlich method	es_ES
dc.subject	iterative methods	es_ES
dc.subject	memory schemes	es_ES
dc.subject	nonlinear equations	es_ES
dc.subject	simultaneous roots	es_ES
dc.subject	Scopus	es_ES
dc.subject	JCR	es_ES
dc.title	Iterative schemes for finding all roots simultaneously of nonlinear equations	es_ES
dc.type	Articulo Revista Indexada	es_ES
reunir.tag	~ARI	es_ES
dc.identifier.doi	https://doi.org/10.1016/j.aml.2022.108325