5 citations · 6 across the 7 of their papers we have counts for
9 papers
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…
ADMM for monotone operators: convergence analysis and rates
Radu Ioan Bot, Ernö Robert Csetnek
We propose in this paper a unifying scheme for several algorithms from the literature dedicated to the solving of monotone inclusion problems involving compositions with linear con…
Newton-like dynamics associated to nonconvex optimization problems
Radu Ioan Bot, Ernö Robert Csetnek
We consider the dynamical system \begin{equation*}\left\{ \begin{array}{ll} v(t)\in\partialϕ(x(t))\\ λ\dot x(t) + \dot v(t) + v(t) + \nabla ψ(x(t))=0, \end{array}\right.\end{equati…
Levenberg-Marquardt dynamics associated to variational inequalities
Radu Ioan Bot, Ernö Robert Csetnek
In connection with the optimization problem where is a proper, convex and lower semicontinuous function and and are convex and sm…
A forward-backward dynamical approach to the minimization of the sum of a nonsmooth convex with a smooth nonconvex function
Radu Ioan Bot, Ernö Robert Csetnek
We address the minimization of the sum of a proper, convex and lower semicontinuous with a (possibly nonconvex) smooth function from the perspective of an implicit dynamical system…
Convergence rates for forward-backward dynamical systems associated with strongly monotone inclusions
Radu Ioan Bot, Ernö Robert Csetnek
We investigate the convergence rates of the trajectories generated by implicit first and second order dynamical systems associated to the determination of the zeros of the sum of a…