Mohd Asrul Hery  Ibrahim, Zahratul Amani  Zakaria, Mustafa  Mamat, Ummie Khalthum Mohd  Yusof, Azfi Zaidi Mohammad  Sofi, 
    A New Search Direction for Broyden’s Family Method with Coefficient of
Conjugate Gradient in Solving Unconstrained Optimization Problems,
    Research Journal of Applied Sciences,
    Volume 12,Issue 1,
    2017,
    Pages 31-36,
    ISSN 1815-932x,
    rjasci.2017.31.36,
    (https://makhillpublications.co/view-article.php?doi=rjasci.2017.31.36)
    Abstract: In this study, we present a new search direction known as the CG-Broyden method which uses the
search direction of the conjugate gradient method approach in the quasi-Newton methods. The new algorithm
is compared with the quasi-Newton methods in terms of the number of iterations and CPU-time. The Broyden’s
family method is used as an updating formula for the approximation of the Hessian for both methods. Our
numerical analysis provides strong evidence that our CG-Broyden method is more efficient than the ordinary
Broyden method. Besides, we also prove that the new algorithm is globally convergent.
    Keywords: Broyden method;CG-Broyden method;CPU time;conjugate gradient method;globally convergent