The Proximal Gradient Method : Mathematical framework

Mathematical framework
The Proximal Gradient Method

Author : Patrick L. COMBETTES

Publication date: July 10, 2025 | Lire en français

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1. Mathematical framework

The following results concern the Moreau proximity operator , an indispensable tool in non-smooth convex analysis.

Lemma 1. Let $f \in Γ_{0} ($

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Mathematical framework

(1) - ACKER (F.), PRESTEL (M.A.) - Convergence d'un schéma de minimisation alternée, - Ann. Fac. Sci. Toulouse V. Sér. Math., vol. 2, pp. 1–9 (1980).
(2) - ATTOUCH (H.), BOLTE (J.), REDONT (P.), SOUBEYRAN (A.) - Alternating proximal algorithms for weakly coupled...

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