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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
A fast continuous time approach for non-smooth convex optimization using Tikhonov regularization technique
Mikhail Karapetyants
In this manuscript we would like to address the classical optimization problem of minimizing a proper, convex and lower semicontinuous function via the second order in time dynamic…