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math.OC2025
Convergence analysis of inexact MBA method for constrained upper- optimization problems
Ruyu Liu, Shaohua Pan
This paper concerns a class of constrained optimization problems in which, the objective and constraint functions are both upper-. For such nonconvex and nonsmooth o…
math.OC2025
An inexact variable metric proximal linearization method for composite optimization on manifolds
Hao He, Ruyu Liu, Yitian Qian +1
This paper concerns the minimization of the composition of a nonsmooth convex function and a mapping over a -smooth embedded closed submanifo…
math.OC2025
GLL-type Nonmonotone Descent Methods Revisited under Kurdyka-Łojasiewicz Property
Yitian Qian, Ting Tao, Shaohua Pan +1
The purpose of this paper is to extend the full convergence results of the classic GLL-type (Grippo-Lampariello-Lucidi) nonmonotone methods to nonconvex and nonsmooth optimization.…