The Second-order in Time Continuous Newton Method

Author:

Attouch H.,Redont P.

Publisher

Physica-Verlag HD

Reference14 articles.

1. F. Alvarez, On the minimizing property of a second order dissipative system in Hilbert space, preprint 98–05, Dépaгtement de Methémetiques, Université Montpellier II, to appear in SIAM J. of Control and Optimization.

2. F. Alvarez, J.M. Perez, Asymptotic analysis of evolution equations associated with Newton’s method for parametric approximations of convex minimization problems, Appl. Math. Optim. 38 (1998), 193–217.

3. H. Attouch and R. Cominetti, A dynamical approach to convex minimization coupling approximation with the steepest descent method, J. Differential Equations, 128 (2), (1996), 519–540.

4. H. Attouch, X. Goudou and P. Redont, The heavy ball with friction method: I the continuous dynamical system, preprint 1998/11, Département de Mathématiques, Université de Montpellier II; to appear in Communications in Contemporary Mathematics.

5. J.-P. Aubin, A. Cellina, Differential Inclusions, Springer, 1984.

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