Monotone operator theory in convex optimization

作者: Patrick L. Combettes

DOI: 10.1007/S10107-018-1303-3

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摘要: Several aspects of the interplay between monotone operator theory and convex optimization are presented. The crucial role played by operators in analysis numerical solution minimization problems is emphasized. We review properties subdifferentials as maximally and, tandem, investigate those proximity resolvents. In particular, we study new transformations which map to operators, establish connections with self-dual classes firmly nonexpansive operators. addition, insights developments proposed on algorithmic front.

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