OpSplit.bib

@book{rockafellar1997convex,
  title={Convex analysis},
  author={Rockafellar, R Tyrell},
  volume={28},
  year={1997},
  publisher={Princeton university press}
}

@article{FBF_Tseng,
  author    = {Paul Tseng},
  title     = {A Modified Forward-Backward Splitting Method for Maximal Monotone
               Mappings},
  journal   = {{SIAM} J. Control and Optimization},
  volume    = {38},
  number    = {2},
  pages     = {431--446},
  year      = {2000},
  doi       = {10.1137/S0363012998338806},
  timestamp = {Fri, 11 Jun 2010 14:37:32 +0200},
  biburl    = {http://dblp.uni-trier.de/rec/bib/journals/siamco/Tseng00},
  bibsource = {dblp computer science bibliography, http://dblp.org}
}

@book{B-C2011cvx-mon,
  title={Convex analysis and monotone operator theory in Hilbert spaces},
  author={Bauschke, Heinz H and Combettes, Patrick L},
  year={2011},
  publisher={Springer Science \& Business Media}
}

@article{davis2015three,
  title={A Three-Operator Splitting Scheme and its Optimization Applications},
  author={Davis, Damek and Yin, Wotao},
  journal={arXiv preprint arXiv:1504.01032},
  year={2015}
}


@article{YL2006GrpLasso,
  title={Model selection and estimation in regression with grouped variables},
  author={Yuan, Ming and Lin, Yi},
  journal={Journal of the Royal Statistical Society: Series B (Statistical Methodology)},
  volume={68},
  number={1},
  pages={49--67},
  year={2006},
  publisher={Wiley Online Library}
}

@article{Siddon,
  title={Fast calculation of the exact radiological path for a three-dimensional CT array},
  author={Siddon, Robert L},
  journal={Medical physics},
  volume={12},
  number={2},
  pages={252--255},
  year={1985},
  publisher={American Association of Physicists in Medicine}
}


@inproceedings{repetti2015random,
  title={A random block-coordinate primal-dual proximal algorithm with application to 3D mesh denoising},
  author={Repetti, Audrey and Chouzenoux, Emilie and Pesquet, Jean-Christophe},
  booktitle={Acoustics, Speech and Signal Processing (ICASSP), 2015 IEEE International Conference on},
  pages={3561--3565},
  year={2015},
  organization={IEEE}
}

@article{pesquet2014class,
  title={A class of randomized primal-dual algorithms for distributed optimization},
  author={Pesquet, Jean-Christophe and Repetti, Audrey},
  journal={arXiv preprint arXiv:1406.6404},
  year={2014}
}

@article{o2014primal,
  title={Primal-dual decomposition by operator splitting and applications to image deblurring},
  author={O'Connor, Daniel and Vandenberghe, Lieven},
  journal={SIAM Journal on Imaging Sciences},
  volume={7},
  number={3},
  pages={1724--1754},
  year={2014},
  publisher={SIAM}
}

@article{combettes2014stochastic,
  title={Stochastic Quasi-Fej$\backslash$'er Block-Coordinate Fixed Point Iterations with Random Sweeping},
  author={Combettes, Patrick L and Pesquet, Jean-Christophe},
  journal={arXiv preprint arXiv:1404.7536},
  year={2014}
}

@article{fercoq2015coordinate,
  title={A Coordinate Descent Primal-Dual Algorithm with Large Step Size and Possibly Non Separable Functions},
  author={Fercoq, Olivier and Bianchi, Pascal},
  journal={arXiv preprint arXiv:1508.04625},
  year={2015}
}

@article{yu2015doubly,
  title={Doubly Stochastic Primal-Dual Coordinate Method for Regularized Empirical Risk Minimization with Factorized Data},
  author={Yu, Adams Wei and Lin, Qihang and Yang, Tianbao},
  journal={arXiv preprint arXiv:1508.03390},
  year={2015}
}

@article{zhang2014stochastic,
  title={Stochastic primal-dual coordinate method for regularized empirical risk minimization},
  author={Zhang, Yuchen and Xiao, Lin},
  journal={arXiv preprint arXiv:1409.3257},
  year={2014}
}

@article{Baudet_1978_asynchronous,
 author = {Baudet, G{\'e}rard M.},
 title = {Asynchronous Iterative Methods for Multiprocessors},
 journal = {J. ACM},
 issue_date = {April 1978},
 volume = {25},
 number = {2},
 month = apr,
 year = {1978},
 issn = {0004-5411},
 pages = {226--244},
 numpages = {19},
 doi = {10.1145/322063.322067},
 acmid = {322067},
 publisher = {ACM},
 address = {New York, NY, USA},
} 

@article{vu2013splitting,
  title={A splitting algorithm for dual monotone inclusions involving cocoercive operators},
  author={V{\~u}, Bằng C{\^o}ng},
  journal={Advances in Computational Mathematics},
  volume={38},
  number={3},
  pages={667--681},
  year={2013},
  publisher={Springer}
}

@article{condat2013primal,
  title={A primal--dual splitting method for convex optimization involving Lipschitzian, proximable and linear composite terms},
  author={Condat, Laurent},
  journal={Journal of Optimization Theory and Applications},
  volume={158},
  number={2},
  pages={460--479},
  year={2013},
  publisher={Springer}
}

@inproceedings{combettes2014forward,
  title={A forward-backward view of some primal-dual optimization methods in image recovery},
  author={Combettes, Patrick Louis and Condat, Laurent and Pesquet, J-C and Vu, Bang Cong},
  booktitle={Image Processing (ICIP), 2014 IEEE International Conference on},
  pages={4141--4145},
  year={2014},
  organization={IEEE}
}

@article{davis2014convergence,
  title={Convergence rate analysis of primal-dual splitting schemes},
  author={Davis, Damek},
  journal={arXiv preprint arXiv:1408.4419},
  year={2014}
}

@article{chambolle2011first,
  title={A first-order primal-dual algorithm for convex problems with applications to imaging},
  author={Chambolle, Antonin and Pock, Thomas},
  journal={Journal of Mathematical Imaging and Vision},
  volume={40},
  number={1},
  pages={120--145},
  year={2011},
  publisher={Springer}
}

@article{krasnosel1955two,
  title={Two remarks on the method of successive approximations},
  author={Krasnosel'skii, Mark Aleksandrovich},
  journal={Uspekhi Matematicheskikh Nauk},
  volume={10},
  number={1},
  pages={123--127},
  year={1955},
  publisher={Russian Academy of Sciences, Branch of Mathematical Sciences}
}

@article{Frommer2000201,
title = "On asynchronous iterations ",
journal = "Journal of Computational and Applied Mathematics ",
volume = "123",
number = "1–2",
pages = "201 - 216",
year = "2000",
note = "Numerical Analysis 2000. Vol. III: Linear Algebra ",
issn = "0377-0427",
author = "Andreas Frommer and Daniel B. Szyld"
}

@article{Baz200591,
title = "Asynchronous iterations with flexible communication: contracting operators",
journal = "Journal of Computational and Applied Mathematics ",
volume = "176",
number = "1",
pages = "91 - 103",
year = "2005",
note = "",
issn = "0377-0427",
author = "Didier El Baz and Andreas Frommer and Pierre Spiteri",
keywords = "Asynchronous iterations",
keywords = "Parallel computing",
keywords = "Flexible communication",
keywords = "Fixed point methods "
}


@incollection{Baz1998429,
title = "Flexible communication for parallel asynchronous methods with application to a nonlinear optimization problem ",
editor = "E.H. D'Hollander and F.J. Peters and G.R. Joubert and U. Trottenberg and R. Volpel",
booktitle = "Parallel ComputingFundamentals, Applications and New Directions",
publisher = "North-Holland",
year = "1998",
volume = "12",
pages = "429 - 436",
series = "Advances in Parallel Computing ",
issn = "0927-5452",
author = "D. El Baz and D. Gazen and M. Jarraya and P. Spiteri and J.C. Miellou"
}

@article{Strikwerda2002125,
  title={A probabilistic analysis of asynchronous iteration},
  author={Strikwerda, John C},
  journal={Linear algebra and its applications},
  volume={349},
  number={1},
  pages={125--154},
  year={2002},
  publisher={Elsevier}
}

@article{Patrick_2015,
author = {Patrick L. Combettes and Jean-Christophe Pesquet},
title = {Stochastic Quasi-Fejér Block-Coordinate Fixed Point Iterations with Random Sweeping},
journal = {SIAM Journal on Optimization},
volume = {25},
number = {2},
pages = {1221-1248},
year = {2015},
doi = {10.1137/140971233},
}

@ARTICLE{Peng_2015_AROCK,
   author = {{Peng}, Z. and {Xu}, Y. and {Yan}, M. and {Yin}, W.},
    title = "{ARock: an Algorithmic Framework for Asynchronous Parallel Coordinate Updates}",
  journal = {ArXiv e-prints},
archivePrefix = "arXiv",
   eprint = {1506.02396},
 primaryClass = "math.OC",
 keywords = {Mathematics - Optimization and Control, Computer Science - Distributed, Parallel, and Cluster Computing, Statistics - Machine Learning},
     year = 2015,
    month = jun,
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{hildreth1957quadprog,
  title={A quadratic programming procedure},
  author={Hildreth, Clifford},
  journal={Naval research logistics quarterly},
  volume={4},
  number={1},
  pages={79--85},
  year={1957},
  publisher={Wiley Online Library}
}

@article{glowinski1975ADMM,
  title={Sur l'approximation, par {\'e}l{\'e}ments finis d'ordre un, et la r{\'e}solution, par p{\'e}nalisation-dualit{\'e} d'une classe de probl{\`e}mes de Dirichlet non lin{\'e}aires},
  author={Glowinski, Roland and Marroco, A},
  journal={Revue fran{\c{c}}aise d'automatique, informatique, recherche op{\'e}rationnelle. Analyse num{\'e}rique},
  volume={9},
  number={2},
  pages={41--76},
  year={1975}
}

@article{gabay1976ADMM,
  title={A dual algorithm for the solution of nonlinear variational problems via finite element approximation},
  author={Gabay, Daniel and Mercier, Bertrand},
  journal={Computers \& Mathematics with Applications},
  volume={2},
  number={1},
  pages={17--40},
  year={1976},
  publisher={Elsevier}
}

@article{wang2008new,
  title={A new alternating minimization algorithm for total variation image reconstruction},
  author={Wang, Yilun and Yang, Junfeng and Yin, Wotao and Zhang, Yin},
  journal={SIAM Journal on Imaging Sciences},
  volume={1},
  number={3},
  pages={248--272},
  year={2008},
  publisher={SIAM}
}

@article{passty1979FBS,
  title={Ergodic convergence to a zero of the sum of monotone operators in Hilbert space},
  author={Passty, Gregory B},
  journal={Journal of Mathematical Analysis and Applications},
  volume={72},
  number={2},
  pages={383--390},
  year={1979},
  publisher={Elsevier}
}

@article{peaceman1955PRS,
  title={The numerical solution of parabolic and elliptic differential equations},
  author={Peaceman, Donald W and Rachford, Jr, Henry H},
  journal={Journal of the Society for Industrial and Applied Mathematics},
  volume={3},
  number={1},
  pages={28--41},
  year={1955},
  publisher={SIAM}
}

@article{douglas1956DRS,
  title={On the numerical solution of heat conduction problems in two and three space variables},
  author={Douglas, Jim and Rachford, Henry H},
  journal={Transactions of the American mathematical Society},
  pages={421--439},
  year={1956},
  publisher={JSTOR}
}

@article{briceno2015FDRS,
  title={Forward-Douglas--Rachford splitting and forward-partial inverse method for solving monotone inclusions},
  author={Brice{\~n}o-Arias, Luis M},
  journal={Optimization},
  volume={64},
  number={5},
  pages={1239--1261},
  year={2015},
  publisher={Taylor \& Francis}
}

@article{tseng1991applications,
  title={Applications of a splitting algorithm to decomposition in convex programming and variational inequalities},
  author={Tseng, Paul},
  journal={SIAM Journal on Control and Optimization},
  volume={29},
  number={1},
  pages={119--138},
  year={1991},
  publisher={SIAM}
}
@inproceedings{lebedev1967duality,
  title={Duality theory of concave-convex games},
  author={Lebedev, VN and Tynjanski{\i}, NT},
  booktitle={Soviet Math. Dokl},
  volume={8},
  pages={752--756},
  year={1967}
}
@article{mclinden1974extension,
  title={An extension of Fenchel's duality theorem to saddle functions and dual minimax problems},
  author={McLinden, Lynn},
  journal={Pacific Journal of Mathematics},
  volume={50},
  number={1},
  pages={135--158},
  year={1974}
}
@incollection{briceno2013monotone,
  title={Monotone operator methods for Nash equilibria in non-potential games},
  author={Briceno-Arias, Luis M and Combettes, Patrick L},
  booktitle={Computational and Analytical Mathematics},
  pages={143--159},
  year={2013},
  publisher={Springer}
}

@article{daubechies2003iterative,
  title={An iterative thresholding algorithm for linear inverse problems with a sparsity constraint},
  author={Daubechies, Ingrid and Defrise, Michel and De Mol, Christine},
  journal={arXiv preprint math/0307152},
  year={2003}
}

@article{chen2014direct,
  title={The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent},
  author={Chen, Caihua and He, Bingsheng and Ye, Yinyu and Yuan, Xiaoming},
  journal={Mathematical Programming},
  pages={1--23},
  year={2014},
  publisher={Springer}
}