Convergence of Newton’s method under the gamma condition

dc.creator	Argyros, Ioannis K.	es
dc.date	2017-05-08
dc.date.accessioned	2026-09-25T13:07:10Z
dc.date.available	2026-09-25T13:07:10Z
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1538
dc.identifier	10.4067/S0716-09172006000300006
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/256479
dc.description	We provide a semilocal as well as a local convergence analysis of Newton’s method using the gamma condition [1], [10], [11]. Using more precise majorizing sequences than before [4], [8]—[11] and under at least as weak hypotheses, we provide in the semilocal case: finer error bounds on the distances involved and an at least as precise information on the location of the solution; in the local case: a larger radius of convergence.	es
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1538/2393
dc.rights	Copyright (c) 2006 Proyecciones. Journal of Mathematics	en
dc.rights	https://creativecommons.org/licenses/by/4.0	en
dc.source	Proyecciones (Antofagasta); Vol. 25 No. 3 (2006); 293-306	en
dc.source	Proyecciones. Revista de Matemática; Vol. 25 Núm. 3 (2006); 293-306	es
dc.source	0717-6279
dc.source	10.22199/issn.0717-6279-2006
dc.title	Convergence of Newton’s method under the gamma condition	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion