Mohd Asrul Hery  Ibrahim, Mustafa  Mamat, Azfi Zaidi Mohammad  Sofi, 
    A Modified Search Direction of Broyden Family Method and its Global Convergence,
    Journal of Engineering and Applied Sciences,
    Volume 12,Issue 17,
    2017,
    Pages 4504-4507,
    ISSN 1816-949x,
    jeasci.2017.4504.4507,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2017.4504.4507)
    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.
    Keywords: Broyden family method;conjugate gradient method;search direction;global convergence;solving uncostrained optimiztion problem;iteration