Extends the ODE approach for Nesterov's acceleration to primal-dual dynamics for linearly constrained convex optimization, deriving local O(1/t^2) rates under a KL-analogous geometric condition on nonsmooth nonstrongly convex objectives.
Brézis, Functional analysis, Sobolev spaces and partial differenti al equations , NewYork:Springer;2011
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Convergence Analysis via ODE Approach for Convex Optimization with Linear Equality Constraints
Extends the ODE approach for Nesterov's acceleration to primal-dual dynamics for linearly constrained convex optimization, deriving local O(1/t^2) rates under a KL-analogous geometric condition on nonsmooth nonstrongly convex objectives.