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math.OC2019
An extension of the second order dynamical system that models Nesterov's convex gradient method
Cristian Daniel Alecsa, Szilárd Csaba László, Titus Pinţa
In this paper we deal with a general second order continuous dynamical system associated to a convex minimization problem with a Frèchet differentiable objective function. We show…
math.OC2019
A primal-dual dynamical approach to structured convex minimization problems
Radu Ioan Bot, Ernö Robert Csetnek, Szilard Laszlo
In this paper we propose a primal-dual dynamical approach to the minimization of a structured convex function consisting of a smooth term, a nonsmooth term, and the composition of…