Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations
Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations
Abstract In this paper, we propose a self adaptive spectral conjugate gradient-based projection method for systems of nonlinear monotone equations. Based on its modest memory requirement and its efficiency, the method is suitable for solving large-scale equations. We show that the method satisfies the descent condition $F_{k}^{T}d_{k}\leq -c\|F_{k}\|^{2}, c>0$ <mml:math …