2 papers
math.OC2026
Error bounds, PL condition, and quadratic growth for weakly convex functions, and linear convergences of proximal point methods
Feng-Yi Liao, Lijun Ding, Yang Zheng
Many practical optimization problems lack strong convexity. Fortunately, recent studies have revealed that first-order algorithms also enjoy linear convergences under various weake…
math.OC2024
Inexact Augmented Lagrangian Methods for Conic Programs: Quadratic Growth and Linear Convergence
Feng-Yi Liao, Lijun Ding, Yang Zheng
Augmented Lagrangian Methods (ALMs) are widely employed in solving constrained optimizations, and some efficient solvers are developed based on this framework. Under the quadratic…