求解非线性方程组的记忆梯度算法

Memory Gradient Method for Nonlinear Equations

本文给出了一种求解非线性方程组的新算法—记忆梯度算法,该算法采用迭代形式,每步迭代不仅利用了当前点的迭代信息,而且利用了前一迭代点的信息,使算法更具稳定性,本文还证明了该算法的全局收敛性。

In this paper, we present a new memory gradient algorithm for solving nonlinear equations. The main property of the algorithm is that, at each iteration, the information at the current iteration and previous iterations are all taken into account. This makes the algorithm more stable and more practical. Finally, the global convergence of the proposed algorithm is established.