Geodesic
LOCAL CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF INEXACT METHODS
ARGYROS , IOANNIS K.1 ; HILOUT, SAÏD 2
1 Cameron university, Department of Mathematics Sciences, Lawton, OK 73505, USA.
2 Poitiers university, Laboratoire de Mathématiques et Applications, Bd. Pierre et Marie Curie, Téléport 2, B.P. 30179, 86962 Futuroscope Chasseneuil Cedex, France.
Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 4, p. 244-253.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We provide a local convergence analysis for a certain class inexact methods in a Banach space setting, in order to approximate a solution of a nonlinear equation [6]. The assumptions involve center-Lipschitz-type and radius-Lipschitz-type conditions [15], [8], [5]. Our results have the following advantages (under the same computational cost): larger radii, and finer error bounds on the distances involved than in [8], [15] in many interesting cases. Numerical examples further validating the theoretical results are also provided in this study.
DOI : 10.22436/jnsa.001.04.08
Classification : 65K10, 65G99, 65J99, 65H10, 49M15, 47J20
Keywords: Inexact Newton method, Banach space, Local convergence, Convergence radii.

ARGYROS , IOANNIS K. 1 ; HILOUT, SAÏD  2

1 Cameron university, Department of Mathematics Sciences, Lawton, OK 73505, USA.
2 Poitiers university, Laboratoire de Mathématiques et Applications, Bd. Pierre et Marie Curie, Téléport 2, B.P. 30179, 86962 Futuroscope Chasseneuil Cedex, France. 
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ARGYROS , IOANNIS K.; HILOUT, SAÏD . LOCAL CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF INEXACT METHODS. Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 4, p. 244-253. doi : 10.22436/jnsa.001.04.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.001.04.08/

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