TY - JOUR AU - Masmali, Ibtisam A. AU - Salleh, Zabidin AU - Alhawarat, Ahmad PY - 2021 TI - A New Spectral Conjugate Gradient Method for Nonlinear Unconstrained Optimization JF - Journal of Computer Science VL - 17 IS - 6 DO - 10.3844/jcssp.2021.598.609 UR - https://thescipub.com/abstract/jcssp.2021.598.609 AB - 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.