| Article ID: | iaor19982993 |
| Country: | Netherlands |
| Volume: | 20 |
| Issue: | 5 |
| Start Page Number: | 223 |
| End Page Number: | 228 |
| Publication Date: | Jun 1997 |
| Journal: | Operations Research Letters |
| Authors: | Qi Liqun |
| Keywords: | Newton method, convergence |
We show that strong differentiability at solutions is not necessary for superlinear convergence of quasi-Newton methods for solving nonsmooth equations. We improve the superlinear convergence result of Ip and Kyparisis for general quasi-Newton methods as well as the Broyden method. For a special example, the Newton method is divergent but the Broyden method is superlinearly convergent.