More on second-order properties of the Moreau regularization-approximation of a convex function
Author:
Affiliation:
1. Institut de Mathématiques, Université Paul Sabatier de Toulouse, Toulouse Cedex 09, France
Publisher
Informa UK Limited
Subject
Applied Mathematics,Control and Optimization,Software
Link
https://www.tandfonline.com/doi/pdf/10.1080/10556788.2023.2258258
Reference9 articles.
1. G. Chierchia E. Chouzenoux P.L. Combettes and J. Pesquet The proximity operator repository . Website proximity-operator.net (section Examples & Programs).
2. J.-B. Hiriart-Urruty The approximate first-order and second-order directional derivatives for a convex function . Proceedings of the Conference Mathematical Theories of Optimization in Santa Margherita Ligure Italy (1981) Lecture Notes in Mathematics 979 J. P. Cecconi and T. Zolezzi eds. Springer-Verlag 1983 pp. 154–166.
3. J.-B. Hiriart-Urruty La ré gularisation-approximation de Moreau d'une fonction convexe l'opérateur proximal les méthodes de gradient proximal etc.: une présentation synthétique pour ceux qui n'en ont jamais entendu parler. Pedagogical document (28 pages). Master 2R Operations Research Toulouse (2015–2021). www.math.univ-toulouse.fr/~jbhu/
4. Convex Analysis and Minimization Algorithms I
5. Nonsmoothness in machine learning: Specific structure, proximal identification, and applications;Iutzeler F.;Set-Valued Variational Anal.,2020
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