A preconditioned Arrow-Hurwicz flow with antisymmetric time-varying preconditioners achieves non-ergodic duality gap convergence rates for composite convex optimization.
Luo, A primal-dual flow for a ffine constrained convex optimization, ESAIM: Control, Optimisation and Calculus of Variations 28 (2022) 33
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Preconditioned primal-dual dynamics in convex optimization: non-ergodic convergence rates
A preconditioned Arrow-Hurwicz flow with antisymmetric time-varying preconditioners achieves non-ergodic duality gap convergence rates for composite convex optimization.