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20092011
most citedPrimal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum monotone operators

2 citations · 3 across the 6 of their papers we have counts for

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math.OC2011★ 2 cited

Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum monotone operators

Patrick L. Combettes, Jean-Christophe Pesquet

We propose a primal-dual splitting algorithm for solving monotone inclusions involving a mixture of sums, linear compositions, and parallel sums of set-valued and Lipschitzian oper…

math.OC2011

Monotone Operator Methods for Nash Equilibria in Non-Potential Games

Luis M. Briceno-Arias, Patrick L. Combettes

We observe that a significant class of Nash equilibrium problems in non-potential games can be associated with monotone inclusion problems. We propose splitting techniques to solve…

math.FA2011

Moreau's Decomposition in Banach Spaces

Patrick L. Combettes, Noli N. Reyes

Moreau's decomposition is a powerful nonlinear hilbertian analysis tool that has been used in various areas of optimization and applied mathematics. In this paper, it is extended t…