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math.OC2013
Solving Coupled Composite Monotone Inclusions by Successive Fejér Approximations of Their Kuhn-Tucker Set
Abdullah Alotaibi, Patrick L. Combettes, N. Shahzad
We propose a new class of primal-dual Fejer monotone algorithms for solving systems of com- posite monotone inclusions. Our construction is inspired by a framework used by Eckstein…
math.OC2013
A Primal-Dual Method of Partial Inverses for Composite Inclusions
Maryam A. Alghamdi, Abdullah Alotaibi, Patrick L. Combettes +1
Spingarn's method of partial inverses has found many applications in nonlinear analysis and in optimization. We show that it can be employed to solve composite monotone inclusions…