This paper proposes and analyzes a globalized version of the Newton method for finding a singularity of the nonsmooth vector fields. Basically, the new method combines a version of nonsmooth Newton method with a nonmonotone line search strategy. The global convergence analysis of the proposed method as well as results on its rate are established under mild assumptions. Finally, numerical experiments illustrating the practical advantages of the proposed scheme are reported.

中文翻译：

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黎曼流形上非光滑矢量场的全局牛顿法

本文提出并分析了牛顿法的全球化版本，用于寻找非光滑向量场的奇点。基本上，新方法将非平滑牛顿法的一个版本与非单调线搜索策略相结合。所提出的方法的全局收敛性分析及其速率的结果是在温和的假设下建立的。最后，报告了说明所提出方案的实际优点的数值实验。