Globally convergent three-term conjugate gradient projection methods for solving nonlinear monotone equations

Abstract

Abstract In this paper, we propose two derivative-free conjugate gradient projection methods for systems of large-scale nonlinear monotone equations. The proposed methods are shown to satisfy the sufficient descent condition. Furthermore, the global convergence of the proposed methods is established. The proposed methods are then tested on a number of benchmark problems from the literature and preliminary numerical results indicate that the proposed methods can be efficient for solving large scale problems and therefore are promising.

Keywords

• 90C30
• 90C56
• 65K05
• 65K10