3 papers
math.OC2026
Convergence Rates of Tseng's Splitting Method and Its Acceleration Schemes for Monotone Inclusion Problem with a Sum of Hölder Continuous Operators
Yi Zhang
The monotone inclusion problem is fundamental in applied mathematics and is closely related to a wide range of practical applications. However, existing solution methods typically…
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…