Weak convergence conditions for Inexact Newton-type methods |
| |
| Authors: | Ioannis K Argyros Saïd Hilout |
| |
| Institution: | a Cameron University, Department of Mathematics Sciences, Lawton, OK 73505, USA
b Poitiers University, Laboratoire de Mathématiques et Applications, Bd. Pierre et Marie Curie, Téléport 2, B.P. 30179, 86962 Futuroscope Chasseneuil Cedex, France |
| |
| Abstract: | We establish a new semilocal convergence results for Inexact Newton-type methods for approximating a locally unique solution of a nonlinear equation in a Banach spaces setting. We show that our sufficient convergence conditions are weaker and the estimates of error bounds are tighter in some cases than in earlier works 15], 16], 17], 18], 19], 20], 21], 22], 23], 24], 25], 26], 27], 28], 29], 30] and 31]. Special cases and numerical examples are also provided in this study. |
| |
| Keywords: | Inexact Newton-type method Recurrent functions Semilocal convergence Banach space |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
