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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…
math.OC2023
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…