Generalization of Moreau's identity to resolvents of any set-valued mapping, enabling Gabay duality and convergence analysis for nonmonotone inclusions via DR and ADMM.
Linear convergence and metric selection for Douglas–Rachford splitting and ADMM.IEEE Transactions on Automatic Control, 62(2):532–544, 2017
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Resolvent Moreau identities without monotonicity: theory and applications to Gabay duality, Douglas--Rachford and ADMM
Generalization of Moreau's identity to resolvents of any set-valued mapping, enabling Gabay duality and convergence analysis for nonmonotone inclusions via DR and ADMM.