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.