92 citations · 106 across the 19 of their papers we have counts for
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A primal--dual algorithm as applied to optimal control problems
Regina S. Burachik, C. Yalçın Kaya, Xuemei Liu
We propose a primal--dual technique that applies to infinite dimensional equality constrained problems, in particular those arising from optimal control. As an application of our g…
Optimal Control Duality and the Douglas-Rachford Algorithm
Regina S. Burachik, Bethany I Caldwell, C. Yalçın Kaya +1
We explore the relationship between the dual of a weighted minimum-energy control problem, a special case of linear-quadratic optimal control problems, and the Douglas-Rachford (DR…
An Inexact Deflected Subgradient Algorithm in Infinite Dimensional spaces
Regina S. Burachik, Xuemei Liu
We propose a duality scheme for solving constrained nonsmooth and nonconvex optimization problems in a reflexive Banach space. We establish strong duality for a very general type o…