Abstract
A continuous regularization method based on the proximal method is proposed for minimization problems with an inexact objective function. Sufficient convergence conditions are given, and the regularizing operator is constructed.
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References
A. S. Antipin, “Continuous and iterative processes with projection and projection-type opertors,” in: Topics in Cybernetics. Computational Topics of Large-System Analysis [in Russian], Nauchnyi Sovet po Kompleksnoi Probleme “Kibernetika” AN SSSR, Moscow (1989), pp. 5–43.
A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Ill-Posed Problems [in Russian], Nauka, Moscow (1979).
F. P. Vasil'ev, Methods of Solution of Extremal Problems [in Russian], Nauka, Moscow (1981).
J. Warga, Optimal Control of Differential and Functional Equations, Academic Press, New York (1972).
F. P. Vasil'ev, “On regularization of unstable minimization problems,” Trudy MI An SSSR, Moscow,185, 60–65 (1988).
Additional information
Translated from Chislennye Metody v Matematicheskoi Fizike, Published by Moscow University, Moscow, 1996. pp. 5–25.
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Vasil'ev, F.P., Nedich, A. & Obradovich, O. Continuous regularized proximal minimization method. Comput Math Model 8, 85–94 (1997). https://doi.org/10.1007/BF02405157
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DOI: https://doi.org/10.1007/BF02405157