Authors : Mohd Asrul Hery Ibrahim, Mustafa Mamat and Azfi Zaidi Mohammad Sofi
Abstract: In this study, a new search direction for Broyden family method is proposed for solving unconstrained optimization problems. The new search direction is develop by hybridization the two search direction in line search method known as quasi-Newton and conjugate gradient method under certain parameter. This method is popular as Broyden-CG method. The suggestion method has an attractive properties which is its search direction is sufficiently descent direction at every iteration. Under mild conditions, the researchers prove that the proposed method has global convergence.
Mohd Asrul Hery Ibrahim, Mustafa Mamat and Azfi Zaidi Mohammad Sofi, 2017. A Modified Search Direction of Broyden Family Method and its Global Convergence. Journal of Engineering and Applied Sciences, 12: 4504-4507.