A Spectral Conjugate Gradient Method via Hybridization Approach for System of Nonlinear Equations

This paper present an effective conjugate gradient method via hybridization approach of classical Newton direction and conjugate gradient search direction, the method scheme satisfies the sufficient decent condition. Under mild condition, the global convergence result for the method is established. Preliminary numerical results for some large-scale benchmark test problems reported in this work, demonstrate that, the method is practically effective and competitive to some existing methods.