TY - JOUR T1 - A Modified Search Direction of Broyden Family Method and its Global Convergence AU - Ibrahim, Mohd Asrul Hery AU - Mamat, Mustafa AU - Sofi, Azfi Zaidi Mohammad JO - Journal of Engineering and Applied Sciences VL - 12 IS - 17 SP - 4504 EP - 4507 PY - 2017 DA - 2001/08/19 SN - 1816-949x DO - jeasci.2017.4504.4507 UR - https://makhillpublications.co/view-article.php?doi=jeasci.2017.4504.4507 KW - Broyden family method KW -conjugate gradient method KW -search direction KW -global convergence KW -solving uncostrained optimiztion problem KW -iteration AB - 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. ER -