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.
On theo(1/n) convergence rate of the Douglas–Rachford alter- nating direction method.SIAM Journal on Numerical Analysis, 50:700–709, 2012
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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.