A New Hybrid Conjugates Gradient Algorithm for Unconstraint Optimization Problems

Maha S. Younis (University of Mosul)
Basma Tareq (Department of Mathematics College of Education for Pure Science University of Mosul)

International Journal of Engineering, Technology and Natural Sciences (IJETS)
Vol 4 No 1 (2022): International Journal of Engineering, Technology and Natural Sciences

In this paper, we present a new hybrid conjugate gradient strategy that is both efficient and effective for solving unconstrained optimization problems. The parameter is derived from a convex combination of the and the conjugate gradient methods. We demonstrated that this strategy is globally convergent under strong Wolfe line search conditions, and that the recommended hybrid CG method is capable of creating a descending search direction at each iteration. Numerical results are presented in this study, demonstrating that the proposed technique is both efficient and promising.