Article ID: | iaor2001994 |
Country: | Germany |
Volume: | 87 |
Issue: | 2 |
Start Page Number: | 281 |
End Page Number: | 301 |
Publication Date: | Jan 2000 |
Journal: | Mathematical Programming |
Authors: | Powell M.J.D. |
Let the DFP algorithm for unconstrained optimization be applied to an objective function that has continuous second derivatives and bounded level sets, where each line search finds the first local minimum. It is proved that the calculated gradients are not bounded away from zero if there are only two variables. The new feature of this work is that there is no need for the objective function to be convex.