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We propose new primal-dual decomposition algorithms for solving systems of inclusions involving sums of linearly composed maximally monotone operators.
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T. Pennanen, Dualization of generalized equations of maximal monotone type,
2000
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H. H. Bauschke and P. L. Combettes, A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces,
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Y. Dong, An LS-free splitting method for composite mappings,
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J. Eckstein and B. F. Svaiter, A family of projective splitting methods for the sum of two maximal monotone operators,
2008
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H. H. Bauschke, A note on the paper by Eckstein and Svaiter on “General projective splitting methods for sums of maximal monotone operators”,
2009
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P. L. Combettes, Fejér-monotonicity in convex optimization, in:
2009
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J. Eckstein and B. F. Svaiter, General projective splitting methods for sums of maximal monotone operators,
2009
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H. Attouch, L. M. Briceño-Arias, and P. L. Combettes, A parallel splitting method for coupled monotone inclusions,
2010
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H. H. Bauschke and P. L. Combettes,
P. L. Combettes, Systems of structured monotone inclusions: Duality, algorithms, and applications,
2013
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A. Alotaibi, P. L. Combettes, and N. Shahzad, Solving coupled composite monotone inclusions by successive Fejér approximations of their Kuhn-Tucker set,
2014
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H. Attouch, L. M. Briceño-Arias, and P. L. Combettes, A strongly convergent primal-dual method for nonoverlapping domain decomposition,
2015
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R. I. Boţ, E. R. Csetnek, A. Heinrich, and C. Hendrich, On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems,
2015
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L. M. Briceño-Arias, Forward-partial inverse-forward splitting for solving monotone inclusions,
2015
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2011
Cited alongside, same era.
L. M. Briceño-Arias and P. L. Combettes, A monotone+skew splitting model for composite monotone inclusions in duality,
2011
Cited alongside, same era.
R. I. Boţ, E. R. Csetnek, and E. Nagy, Solving systems of monotone inclusions via primal-dual splitting techniques,
2013
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Cited in the paper.
Cited in the paper.
P. L. Combettes and J.-C. Pesquet, Stochastic quasi-Fejér block-coordinate fixed point iterations with random sweeping,
2015
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D. Davis, Convergence rate analysis of primal-dual splitting schemes,
2015
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