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Tikhonov regularization of a second order dynamical system with Hessian driven damping (1911.12845v2)
Published 28 Nov 2019 in math.OC and math.DS
Abstract: We investigate the asymptotic properties of the trajectories generated by a second-order dynamical system with Hessian driven damping and a Tikhonov regularization term in connection with the minimization of a smooth convex function in Hilbert spaces. We obtain fast convergence results for the function values along the trajectories. The Tikhonov regularization term enables the derivation of strong convergence results of the trajectory to the minimizer of the objective function of minimum norm.