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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…