4 papers
Frugal forward-backward splitting methods with deviations
Yongyu Fu, Haowen Zheng, Qiao-Li Dong +2
The deviation vectors provide additional degrees of freedom and effectively enhance the flexibility of algorithms. In the literature, the iterative schemes with deviations are cons…
Preconditioned Halpern iteration with adaptive anchoring parameters and an acceleration to Chambolle--Pock algorithm
Fangbing Lv, Qiao-Li Dong
In this article, we propose a preconditioned Halpern iteration with adaptive anchoring parameters (PHA) by integrating a preconditioner and Halpern iteration with adaptive anchorin…
Convergence analysis of the Halpern iteration with adaptive anchoring parameters
Songnian He, Hong-Kun Xu, Qiao-Li Dong +1
We propose an adaptive way to choose the anchoring parameters for the Halpern iteration to find a fixed point of a nonexpansive mapping in a real Hilbert space. We prove strong con…
Contractive difference-of-convex algorithms
Songnian He, Qiao-Li Dong, Michael Th. Rassias
The difference-of-convex algorithm (DCA) and its variants are the most popular methods to solve the difference-of-convex optimization problem. Each iteration of them is reduced to…