LOCAL CONVERGENCE ANALYSIS OF INEXACT NEWTON-LIKE METHODS


Authors

IOANNIS K. ARGYROS - Cameron university, Department of Mathematics Sciences, Lawton, OK 73505, USA.. SAID 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 of inexact Newton–like methods in a Banach space setting under flexible majorant conditions. By introducing center–Lipschitz–type condition, we provide (under the same computational cost) a convergence analysis with the following advantages over earlier work [9]: finer error bounds on the distances involved, and a larger radius of convergence. Special cases and applications are also provided in this study.


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ISRP Style

IOANNIS K. ARGYROS, SAID HILOUT, LOCAL CONVERGENCE ANALYSIS OF INEXACT NEWTON-LIKE METHODS, Journal of Nonlinear Sciences and Applications, 2 (2009), no. 1, 11-18

AMA Style

ARGYROS IOANNIS K., HILOUT SAID, LOCAL CONVERGENCE ANALYSIS OF INEXACT NEWTON-LIKE METHODS. J. Nonlinear Sci. Appl. (2009); 2(1):11-18

Chicago/Turabian Style

ARGYROS , IOANNIS K., HILOUT, SAID. "LOCAL CONVERGENCE ANALYSIS OF INEXACT NEWTON-LIKE METHODS." Journal of Nonlinear Sciences and Applications, 2, no. 1 (2009): 11-18


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