A class of new derivative-free gradient type methods for large-scale nonlinear systems of monotone equations

Abstract

Abstract In this paper, we present a class of new derivative-free gradient type methods for large-scale nonlinear systems of monotone equations. The methods combine the RMIL conjugate gradient method, the strategy of hyperplane projection and the derivative-free line search technique. Under some appropriate assumptions, the global convergence of the given methods is established. Numerical experiments indicate that the proposed methods are effective.

Keywords

• Large-scale nonlinear systems of monotone equations
• Hyperplane projection method
• Gradient type method
• Derivative-free line search