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• W3014173882 abstract "We extend some results of nonsmooth analysis from the Euclidean context to the Riemannian setting. Particularly, we discuss the concepts and some properties, such as the Clarke generalized covariant derivative, upper semicontinuity, and Rademacher theorem, of locally Lipschitz continuous vector fields on Riemannian settings. In addition, we present a version of the Newton method for finding a singularity of a special class of locally Lipschitz continuous vector fields. For mild conditions, we establish the well-definedness and local convergence of the sequence generated using the method in a neighborhood of a singularity." @default.
• W3014173882 created "2020-04-10" @default.
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• W3014173882 date "2020-03-30" @default.
• W3014173882 modified "2023-10-17" @default.
• W3014173882 title "Newton Method for Finding a Singularity of a Special Class of Locally Lipschitz Continuous Vector Fields on Riemannian Manifolds" @default.
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• W3014173882 doi "https://doi.org/10.1007/s10957-020-01656-3" @default.
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