Geodesic
LOCAL CONVERGENCE ANALYSIS OF INEXACT NEWTON-LIKE METHODS
ARGYROS , IOANNIS K. 1 ; HILOUT, SAID2
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 2 (2009) no. 1, p. 11-18.

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

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.
DOI : 10.22436/jnsa.002.01.02
Classification : 65H10, 65G99, 90C30, 49M15, 47J20
Keywords: Inexact Newton–like method, Banach space, Majorant conditions, Local convergence.

ARGYROS , IOANNIS K.  1 ; HILOUT, SAID 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, SAID. LOCAL CONVERGENCE ANALYSIS OF INEXACT NEWTON-LIKE METHODS. Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 1, p. 11-18. doi : 10.22436/jnsa.002.01.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.01.02/

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