@article {10.3844/jcssp.2021.598.609, article_type = {journal}, title = {A New Spectral Conjugate Gradient Method for Nonlinear Unconstrained Optimization}, author = {Masmali, Ibtisam A. and Salleh, Zabidin and Alhawarat, Ahmad}, volume = {17}, number = {6}, year = {2021}, month = {Jul}, pages = {598-609}, doi = {10.3844/jcssp.2021.598.609}, url = {https://thescipub.com/abstract/jcssp.2021.598.609}, abstract = {Theconjugate gradient method is widely used to solve large scale unconstrainedoptimization problems. However, the rate of convergence conjugate gradient method is linearunless it restarted. In this study, we present a new spectral conjugategradient modification formula with restart property obtains the globalconvergence and descent properties.In addition, we proposed a new restart condition for Fletcher-Reeves conjugate gradient formula. The numerical resultsdemonstrated that the modified Fletcher-Reeves parameter and the new CG formulawith their restart conditions are more efficient and robustness than otherconventional methods.}, journal = {Journal of Computer Science}, publisher = {Science Publications} }