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.

中文翻译：

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一类新的用于大范围单调非线性系统的无导数梯度型方法

在本文中，我们为一类非线性的单调方程组提出了一类新的无导数梯度型方法。这些方法结合了RMIL共轭梯度法，超平面投影策略和无导数线搜索技术。在一些适当的假设下，确定了给定方法的全局收敛性。数值实验表明，该方法是有效的。