Weak convergence conditions for Inexact Newton-type methods
✍ Scribed by Ioannis K. Argyros; Saïd Hilout
- Book ID
- 113439750
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 236 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Under weak conditions, we present an iteration formula to improve Newton's method for solving nonlinear equations. The method is free from second derivatives, permitting f (x) = 0 in some points and per iteration it requires two evaluations of the given function and one evaluation of its derivative.
A local convergence analysis of inexact Newton-type methods using a new type of residual control was recently presented by C. Li and W. Shen. Here, we introduce the center-Hölder condition on the operator involved, and use it in combination with the Hölder condition to provide a new local convergenc