TY  - JOUR
T1  - A New Search Direction for Broyden’s Family Method with Coefficient of
Conjugate Gradient in Solving Unconstrained Optimization Problems
AU - Ibrahim, Mohd Asrul Hery AU - Zakaria, Zahratul Amani AU - Mamat, Mustafa AU - Yusof, Ummie Khalthum Mohd AU - Sofi, Azfi Zaidi Mohammad 
JO  - Research Journal of Applied Sciences
VL  - 12
IS  - 1
SP  - 31
EP  - 36
PY  - 2017
DA  - 2001/08/19
SN  - 1815-932x
DO  - rjasci.2017.31.36
UR  - https://makhillpublications.co/view-article.php?doi=rjasci.2017.31.36
KW  - Broyden method
KW  -CG-Broyden method
KW  -CPU time
KW  -conjugate gradient method
KW  -globally convergent
AB  - 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.
ER  -