2 papers
math.OC2026
A high-order augmented Lagrangian method with arbitrarily fast convergence
Young-Ju Lee, Jongho Park
We propose a high-order version of the augmented Lagrangian method for solving convex optimization problems with linear constraints, which achieves arbitrarily fast -- and even sup…
math.NA2025
Parallel subspace correction methods for semicoercive and nearly semicoercive convex optimization with applications to nonlinear PDEs
Young-Ju Lee, Jongho Park
We present new convergence analyses for parallel subspace correction methods for unconstrained semicoercive and nearly semicoercive convex optimization problems, generalizing the t…