@article{MAKHILLJEAS2017121714794, title = {A Modified Search Direction of Broyden Family Method and its Global Convergence}, journal = {Journal of Engineering and Applied Sciences}, volume = {12}, number = {17}, pages = {4504-4507}, year = {2017}, issn = {1816-949x}, doi = {jeasci.2017.4504.4507}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2017.4504.4507}, author = {Mohd Asrul Hery,Mustafa and}, keywords = {Broyden family method,conjugate gradient method,search direction,global convergence,solving uncostrained optimiztion problem,iteration}, 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.} }