| Article ID: | iaor20122832 |
| Volume: | 59 |
| Issue: | 4 |
| Start Page Number: | 505 |
| End Page Number: | 521 |
| Publication Date: | Apr 2012 |
| Journal: | Numerical Algorithms |
| Authors: | Argyros Ioannis, Ren Hongmin |
| Keywords: | iterative methods, Lipschitz functions |
We use Lipschitz and center‐Lipschitz conditions to provide an improved local convergence analysis for a certain class of iterative methods with cubic order of convergence. It turns out that under the same computational cost as before, we obtain a larger radius of convergence and tighter error bounds. Numerical examples are also provided in this study.