@article{MAKHILLRJAS20171219992,
    title = {A New Search Direction for Broyden’s Family Method with Coefficient of
Conjugate Gradient in Solving Unconstrained Optimization Problems},
    journal = {Research Journal of Applied Sciences},
    volume = {12},
    number = {1},
    pages = {31-36},
    year = {2017},
    issn = {1815-932x},
    doi = {rjasci.2017.31.36},
    url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2017.31.36},
    author = {Mohd Asrul Hery,Zahratul Amani,Mustafa,Ummie Khalthum Mohd and},
    keywords = {Broyden method,CG-Broyden method,CPU time,conjugate gradient method,globally convergent},
    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.}
    }