8 citations · 12 across the 10 of their papers we have counts for
5 papers · 1 filter
Convex optimization via inertial algorithms with vanishing Tikhonov regularization: fast convergence to the minimum norm solution
Hedy Attouch, Szilard Laszlo
In a Hilbertian framework, for the minimization of a general convex differentiable function , we introduce new inertial dynamics and algorithms that generate trajectories and it…
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…
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…
Approaching nonsmooth nonconvex minimization through second order proximal-gradient dynamical systems
Radu Ioan Bot, Ernö Robert Csetnek, Szilárd Csaba László
We investigate the asymptotic properties of the trajectories generated by a second-order dynamical system of proximal-gradient type stated in connection with the minimization of th…
An inertial forward-backward algorithm for the minimization of the sum of two nonconvex functions
Radu Ioan Bot, Ernö Robert Csetnek, Szilárd László
We propose a forward-backward proximal-type algorithm with inertial/memory effects for minimizing the sum of a nonsmooth function with a smooth one in the nonconvex setting. The se…