LOCAL CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF INEXACT METHODS
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1995
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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.
Share and Cite
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
Keywords
- Inexact Newton method
- Banach space
- Local convergence
- Convergence radii.
MSC
- 65K10
- 65G99
- 65J99
- 65H10
- 49M15
- 47J20
References
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