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Media type:
E-Article
Title:
Tikhonov regularization of a second order dynamical system with Hessian driven damping
Contributor:
Boţ, Radu Ioan;
Csetnek, Ernö Robert;
László, Szilárd Csaba
Published:
Springer Science and Business Media LLC, 2021
Published in:
Mathematical Programming, 189 (2021) 1-2, Seite 151-186
Language:
English
DOI:
10.1007/s10107-020-01528-8
ISSN:
0025-5610;
1436-4646
Origination:
Footnote:
Description:
AbstractWe 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.