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math.OC2020★ 3 cited
The long time behavior and the rate of convergence of symplectic convex algorithms obtained via splitting discretizations of inertial damping systems
Cristian Daniel Alecsa
In this paper we propose new numerical algorithms in the setting of unconstrained optimization problems and we study the rate of convergence in the iterates of the objective functi…
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…