Partial Davidon, Fletcher and Powell (DFP) of quasi newton method for unconstrained optimization

Abstract

The nonlinear Quasi-newton methods is widely used in unconstrained optimization. However, In this paper, we developing new quasi-Newton method for solving unconstrained optimization problems. We consider once quasi-Newton which is (DFP) update formula, namely, Partial DFP. Most of quasi-Newton methods don't
 always generate a descent search directions, so the descent or sufficient descent condition is usually assumed in the analysis and implementations . Descent property for the suggested method is proved. Finally, the numerical results show that the new method is also very efficient for general unconstrained optimizations.