LOCAL CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF INEXACT METHODS


Authors

IOANNIS K. ARGYROS - Cameron university, Department of Mathematics Sciences, Lawton, OK 73505, USA.. SAÏD HILOUT - Poitiers university, Laboratoire de Mathématiques et Applications, Bd. Pierre et Marie Curie, Téléport 2, B.P. 30179, 86962 Futuroscope Chasseneuil Cedex, France..


Abstract

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.


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ISRP Style

IOANNIS K. ARGYROS, SAÏD HILOUT, LOCAL CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF INEXACT METHODS, Journal of Nonlinear Sciences and Applications, 1 (2008), no. 4, 244-253

AMA Style

ARGYROS IOANNIS K., HILOUT SAÏD, LOCAL CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF INEXACT METHODS. J. Nonlinear Sci. Appl. (2008); 1(4):244-253

Chicago/Turabian Style

ARGYROS , IOANNIS K., HILOUT, SAÏD. "LOCAL CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF INEXACT METHODS." Journal of Nonlinear Sciences and Applications, 1, no. 4 (2008): 244-253


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