13 citations · 17 across the 3 of their papers we have counts for
5 papers
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…
Benchmark for numerical solutions of flow in heterogeneous groundwater formations
Cristian D. Alecsa, Imre Boros, Florian Frank +5
This article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in heterogeneous aquifers. F…
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…
Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations
Cristian Daniel Alecsa
It is well known that fixed point problems of contractive-type mappings defined on cone metric spaces over Banach algebras are not equivalent to those in usual metric spaces (see […
New optimization algorithms for neural network training using operator splitting techniques
Cristian Daniel Alecsa, Titus Pinta, Imre Boros
In the following paper we present a new type of optimization algorithms adapted for neural network training. These algorithms are based upon sequential operator splitting technique…