Combettes, Patrick L.; Eckstein, Jonathan Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions. (English) Zbl 1514.47095 Math. Program. 168, No. 1-2 (B), 645-672 (2018). MSC: 47J25 47H05 47J22 49M27 65K05 90C25 PDFBibTeX XMLCite \textit{P. L. Combettes} and \textit{J. Eckstein}, Math. Program. 168, No. 1--2 (B), 645--672 (2018; Zbl 1514.47095) Full Text: DOI arXiv
Combettes, Patrick L.; van Nguyen, Quang Solving composite monotone inclusions in reflexive Banach spaces by constructing best Bregman approximations from their Kuhn-Tucker set. (English) Zbl 1348.49013 J. Convex Anal. 23, No. 2, 481-510 (2016). MSC: 49J53 49M29 47J25 47J22 47H04 47H05 49J40 65K15 PDFBibTeX XMLCite \textit{P. L. Combettes} and \textit{Q. van Nguyen}, J. Convex Anal. 23, No. 2, 481--510 (2016; Zbl 1348.49013) Full Text: arXiv Link
Alotaibi, Abdullah; Combettes, Patrick L.; Shahzad, Naseer Best approximation from the Kuhn-Tucker set of composite monotone inclusions. (English) Zbl 1337.47084 Numer. Funct. Anal. Optim. 36, No. 12, 1513-1532 (2015). MSC: 47J22 47H05 41A50 65K05 41A65 90C25 PDFBibTeX XMLCite \textit{A. Alotaibi} et al., Numer. Funct. Anal. Optim. 36, No. 12, 1513--1532 (2015; Zbl 1337.47084) Full Text: DOI arXiv
Alotaibi, Abdullah; Combettes, Patrick L.; Shahzad, Naseer Solving coupled composite monotone inclusions by successive Fejér approximations of their Kuhn-Tucker set. (English) Zbl 1315.47057 SIAM J. Optim. 24, No. 4, 2076-2095 (2014). Reviewer: Hengyou Lan (Zigong) MSC: 47J22 47J25 47H05 65K05 90C25 94A08 PDFBibTeX XMLCite \textit{A. Alotaibi} et al., SIAM J. Optim. 24, No. 4, 2076--2095 (2014; Zbl 1315.47057) Full Text: DOI arXiv
Becker, Stephen R.; Combettes, Patrick L. An algorithm for splitting parallel sums of linearly composed monotone operators, with applications to signal recovery. (English) Zbl 1293.47059 J. Nonlinear Convex Anal. 15, No. 1, 137-159 (2014). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 47J25 47H05 65K05 47J22 90C25 94A08 PDFBibTeX XMLCite \textit{S. R. Becker} and \textit{P. L. Combettes}, J. Nonlinear Convex Anal. 15, No. 1, 137--159 (2014; Zbl 1293.47059) Full Text: arXiv Link
Combettes, Patrick L. Systems of structured monotone inclusions: duality, algorithms, and applications. (English) Zbl 1314.47105 SIAM J. Optim. 23, No. 4, 2420-2447 (2013). Reviewer: Szilárd László (Cluj-Napoca) MSC: 47J25 47J22 47H05 65K05 90C25 PDFBibTeX XMLCite \textit{P. L. Combettes}, SIAM J. Optim. 23, No. 4, 2420--2447 (2013; Zbl 1314.47105) Full Text: DOI arXiv
Combettes, Patrick L.; Pesquet, Jean-Christophe Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum type monotone operators. (English) Zbl 1284.47043 Set-Valued Var. Anal. 20, No. 2, 307-330 (2012). Reviewer: Szilárd László (Cluj-Napoca) MSC: 47J25 47J22 47H05 47H04 49M29 49M27 90C25 49N15 PDFBibTeX XMLCite \textit{P. L. Combettes} and \textit{J.-C. Pesquet}, Set-Valued Var. Anal. 20, No. 2, 307--330 (2012; Zbl 1284.47043) Full Text: DOI arXiv HAL
Briceño-Arias, Luis M.; Combettes, Patrick L. A monotone+skew splitting model for composite monotone inclusions in duality. (English) Zbl 1239.47053 SIAM J. Optim. 21, No. 4, 1230-1250 (2011). Reviewer: Hengyou Lan (Zigong) MSC: 47J22 47J25 47H05 65K05 90C25 PDFBibTeX XMLCite \textit{L. M. Briceño-Arias} and \textit{P. L. Combettes}, SIAM J. Optim. 21, No. 4, 1230--1250 (2011; Zbl 1239.47053) Full Text: DOI arXiv
Attouch, Hédy; Briceño-Arias, Luis M.; Combettes, Patrick L. A parallel splitting method for coupled monotone inclusions. (English) Zbl 1218.47089 SIAM J. Control Optim. 48, No. 5, 3246-3270 (2010). Reviewer: Grzegorz Gabor (Toruń) MSC: 47J25 47H05 47J22 47J35 47N10 34G25 65K10 90C25 90B20 PDFBibTeX XMLCite \textit{H. Attouch} et al., SIAM J. Control Optim. 48, No. 5, 3246--3270 (2010; Zbl 1218.47089) Full Text: DOI arXiv HAL