非线性方程组的非单调技术共轭梯度路径法

摘要

This paper propcses a nonmonotone conjugate gradient path method for solving nonlinear equations. The global convergence and fast local convergence rate of the proposed algorithm are established under some reasonable conditions. Numerical results are reported to show the effectiveness of the algorithm.%提出一种结合非单调技术解非线性方程组的共轭梯度路径法.在合理的假设条件下,证明了算法的整体收敛性和局部超线性收敛速率,数值结果表明了算法的有效性.