论文标题
牛顿方法的全球版本，用于在Riemannian歧管上找到非滑动矢量字段的奇异性
A Global Version of the Newton Method for Finding a Singularity of the Nonsmooth Vector Fields on Riemannian Manifolds
论文作者
论文摘要
本文涉及一种算法，用于找到非平滑矢量场的奇异性。首先，我们讨论了[1]中提出的牛顿方法的主要结果，以解决上述问题。将此方法与非单极线搜索策略相结合，然后提出了牛顿方法的全局版本。最后，报道了拟议方案的实际优势的数值实验。
This paper is concerned with an algorithm for finding a singularity of the nonsmooth vector fields. Firstly, we discuss the main results of the Newton method presented in [1] for solving the aforementioned problem. Combining this method with a nonmonotone line search strategy, we then propose a global version of the Newton Method. Finally, numerical experiments illustrating the practical advantages of the proposed scheme are reported.
