activity
20232025
most citedA Nesterov type algorithm with double Tikhonov regularization: fast convergence of the function values and strong convergence to the minimal norm solution

1 citations · 2 across the 6 of their papers we have counts for

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6 papers

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…

math.OC2024★ 1 cited

Solving convex optimization problems via a second order dynamical system with implicit Hessian damping and Tikhonov regularization

Szilárd Csaba László

This paper deals with a second order dynamical system with a Tikhonov regularization term in connection to the minimization problem of a convex Fréchet differentiable function. The…

math.OC2023★ 1 cited

A Nesterov type algorithm with double Tikhonov regularization: fast convergence of the function values and strong convergence to the minimal norm solution

Mikhail Karapetyants, Szilárd Csaba László

We investigate the strong convergence properties of a Nesterov type algorithm with two Tikhonov regularization terms in connection to the minimization problem of a smooth convex fu…

math.OC2023

On the convergence of an inertial proximal algorithm with a Tikhonov regularization term

Szilárd Csaba László

This paper deals with an inertial proximal algorithm that contains a Tikhonov regularization term, in connection to the minimization problem of a convex lower semicontinuous functi…