Journal of Inequalities and Applications (Apr 2020)
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.
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