مشخصات پژوهش

عنوان	Line Search Algorithms for Locally Lipschitz Functions on Riemannian Manifolds
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Riemannian manifolds, Lipschitz functions, descent directions, Clarke subdifferential
چکیده	This paper presents line search algorithms for finding extrema of locally Lipschitz functions defined on Riemannian manifolds. To this end we generalize the so-called Wolfe conditions for nonsmooth functions on Riemannian manifolds. Using "-subgradient-oriented descent directions and the Wolfe conditions, we propose a nonsmooth Riemannian line search algorithm and establish the convergence of our algorithm to a stationary point. Moreover, we extend the classical BFGS algorithm to nonsmooth functions on Riemannian manifolds. Numerical experiments illustrate the effectiveness and effciency of the proposed algorithm.
پژوهشگران	وانگ هونگ (نفر دوم)، سمیه حسینی (نفر اول)، روح اله یوسف پور (نفر سوم)