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Tikhonov regularization of a second order dynamical system with Hessian driven damping

Tikhonov regularization of a second order dynamical system with Hessian driven damping

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 …