2 papers
math.OC2018
A proximal minimization algorithm for structured nonconvex and nonsmooth problems
Radu Ioan Bot, Ernö Robert Csetnek, Dang-Khoa Nguyen
We propose a proximal algorithm for minimizing objective functions consisting of three summands: the composition of a nonsmooth function with a linear operator, another nonsmooth f…
math.DS2017
Second order dynamical systems with penalty terms associated to monotone inclusions
Radu Ioan Bot, Ernö Robert Csetnek, Szilárd Csaba László
In this paper we investigate in a Hilbert space setting a second order dynamical system of the form $$\ddot{x}(t)+\g(t)\dot{x}(t)+x(t)-J_{λ(t) A}\big(x(t)-λ(t) D(x(t))-λ(t)β(t)B(x(…