THREE-TERM HYBRID BFGS-CG METHOD FOR SOLVING UNCONSTRAINED OPTIMIZATION PROBLEMS |

Both quasi-Newton and conjugate gradient methods are recognised to be efficient in tackling unconstrained optimization problems. As a result, a three-term Broyden-Flethcher-Goldfarb-Shanno-Conjugate Gradient approach is presented, which combines the advantages of both the BFGS and the CG methods. The method is based on a hybrid BFGS-CG method that already exists. When the Three-term BFGS-CG approach was used to solve various unconstrained optimization problems, the total number of iterations and CPU time were reduced. I also show that the hybrid technique converges worldwide.

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/697