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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.…
math.OC2024
Convergence of ZH-type nonmonotone descent method for Kurdyka-Łojasiewicz optimization problems
Yitian Qian, Ting Tao, Shaohua Pan +1
We propose a novel iterative framework for minimizing a proper lower semicontinuous Kurdyka-Łojasiewicz (KL) function . It comprises a Zhang-Hager (ZH-type) nonmonotone decrease…
math.OC2024
Error Bounds for Rank-one Double Nonnegative Reformulations of QAP and Exact Penalties
Yitian Qian, Shaohua Pan, Shujun Bi +1
This paper focuses on the error bounds for several equivalent rank-one doubly nonnegative (DNN) conic reformulations of the quadratic assignment problem (QAP), a class of challengi…