Newton-Type Method for Solving Generalized Equations on Riemannian Manifolds

作者：Adly Samir^*; Huynh Van Ngai; Nguyen Van Vu

来源：Journal of Convex Analysis, 2018, 25(2): 341-370.

• Riemannian manifold
• generalized equation
• Newton's method
• metric regularity
• variational inclusion

This paper is devoted to the study of Newton-type algorithm for solving inclusions involving set-valued maps defined on Riemannian manifolds. We provide some sufficient conditions ensuring the existence as well as the quadratic convergence of Newton sequence. The material studied in this paper is based on Riemannian geometry as well as variational analysis, where metric regularity property is a key point.

• 出版日期2018