| Article ID: | iaor2014761 |
| Volume: | 161 |
| Issue: | 3 |
| Start Page Number: | 837 |
| End Page Number: | 852 |
| Publication Date: | Jun 2014 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Hilout Sad, Argyros Ioannis, Amat Sergio, Busquier Sonia |
| Keywords: | iterative methods, Newton method, derivatives, Banach space |
We propose a collection of hybrid methods combining Newton’s method with frozen derivatives and a family of high‐order iterative schemes. We present semilocal convergence results for this collection on a Banach space setting. Using a more precise majorizing sequence and under the same or weaker convergence conditions than the ones in earlier studies, we expand the applicability of these iterative procedures.