Improved local convergence of Newton’s method under weak majorant condition |
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| Authors: | Ioannis K. Argyros,Saï d Hilout |
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| Affiliation: | a Cameron University, Department of Mathematical Sciences, Lawton, OK 73505, USAb 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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| Abstract: | We provide a local convergence analysis for Newton’s method under a weak majorant condition in a Banach space setting. Our results provide under the same information a larger radius of convergence and tighter error estimates on the distances involved than before [14]. Special cases and numerical examples are also provided in this study. |
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| Keywords: | 65G99 65K10 47H17 49M15 90C30 |
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