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math.OC2026
A Fixed-Penalty Linearized Augmented Lagrangian Method with Classical Multiplier Updates
Benqi Liu, Kangkang Deng, Zichen Wang +1
Augmented Lagrangian methods are effective for nonlinear equality-constrained optimization, but solving their nonlinear primal subproblems can be expensive. For smooth nonconvex pr…
math.OC2026
Restarted Reflected Halpern Acceleration for Augmented Primal-Dual Methods
Benqi Liu, Ju Cao, Wotao Yin +1
We study linearly constrained composite convex optimization with a smooth term and a proximable nonsmooth term. We develop a unified augmented primal-dual framework with primal-dua…