A Projected Hybrid Conjugate Gradient Method for Solving Large-scale System of Nonlinear Equations

Abstract

In this article, a fully derivative-free projected hybrid conjugate gradient method for solving large-scale systems of nonlinear equations is proposed. The proposed method is the convex combination of FR and PRP conjugate gradient methods with the projection method. However, the global convergence of the given method is established under suitable conditions with nonmonotone line search. Numerical results show that the method is efficient for large-scale problems.