2 papers
math.OC2025
Symplectic Extra-gradient Type Method for Solving General Non-monotone Inclusion Problem
Ya-xiang Yuan, Yi Zhang
In recent years, accelerated extra-gradient methods have attracted much attention by researchers, for solving monotone inclusion problems. A limitation of most current accelerated…
math.OC2024
A Symplectic Discretization Based Proximal Point Algorithm for Convex Minimization
Ya-xiang Yuan, Yi Zhang
The proximal point algorithm plays a central role in non-smooth convex programming. The Augmented Lagrangian Method, one of the most famous optimization algorithms, has been found…