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math.OC2025
Solving nonconvex optimization problems via a second order dynamical system with unbounded damping
Szilárd Csaba László
In this paper we study a second order dynamical system with variable coefficients in connection to the minimization problem of a smooth nonconvex function. The convergence of the t…
math.OC2024
Strong convergence and fast rates for systems with Tikhonov regularization
Ernö Robert Csetnek, Szilárd Csaba László
We introduce and investigate the asymptotic behaviour of the trajectories of a second order dynamical system with Tikhonov regularization for solving a monotone equation with singl…
math.OC2024
A proximal-gradient inertial algorithm with Tikhonov regularization: strong convergence to the minimal norm solution
Szilárd Csaba László
We investigate the strong convergence properties of a proximal-gradient inertial algorithm with two Tikhonov regularization terms in connection to the minimization problem of the s…