P. L. Combettes and J. Pesquet, Proximal splitting methods in signal processing, " in Fixed-Point Algorithms for Inverse Problems in Science and Engineering, pp.185-212, 2010.

P. L. Combettes and V. R. Wajs, Signal Recovery by Proximal Forward-Backward Splitting, Multiscale Modeling & Simulation, vol.4, issue.4, pp.1168-1200, 2005.
DOI : 10.1137/050626090
URL : https://hal.archives-ouvertes.fr/hal-00017649

Z. Xu, Z. Gan, and X. Zhu, Compressed video super-resolution reconstruction based on regularized algorithm, 6th IEEE Int. Conf. Signal Process, pp.16-20, 2006.

X. Zhang, R. Xiong, S. Ma, and W. Gao, A robust video super-resolution algorithm, 28th Picture Coding Symposium, pp.574-577, 2010.
DOI : 10.1109/PCS.2010.5702567

P. L. Combettes, D. D?ungd?ung, and B. C. V?uv?u, Proximity for sums of composite functions, Journal of Mathematical Analysis and Applications, vol.380, issue.2, pp.680-688, 2011.
DOI : 10.1016/j.jmaa.2011.02.079
URL : https://hal.archives-ouvertes.fr/hal-00643804

H. H. Bauschke and P. L. Combettes, A Dykstra-like algorithm for two monotone operators, Pac. J. Optim, vol.4, issue.3, pp.383-391, 2008.

X. Fu, B. He, X. Wang, and X. Yuan, Block wise alternating direction method of multipliers with gaussian back substitution for multiple block convex programming, 2014.

S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers, Foundations and Trends?? in Machine Learning, vol.3, issue.1, pp.1-122, 2011.
DOI : 10.1561/2200000016

E. Chouzenoux, J. Pesquet, and A. Repetti, A block coordinate variable metric forward???backward algorithm, Journal of Global Optimization, vol.6, issue.3, 2016.
DOI : 10.1007/s10898-016-0405-9
URL : https://hal.archives-ouvertes.fr/hal-00945918

P. Richtárik and M. Takác, Efficient Serial and Parallel Coordinate Descent Methods for Huge-Scale Truss Topology Design, Int. Conf, pp.27-32, 2011.
DOI : 10.1007/978-3-642-29210-1_5

A. Saha and A. Tewari, On the Nonasymptotic Convergence of Cyclic Coordinate Descent Methods, SIAM Journal on Optimization, vol.23, issue.1, pp.576-601, 2013.
DOI : 10.1137/110840054

M. Jaggi, V. Smith, J. Takác, S. Terhorst, T. Krishnan et al., Communication-efficient distributed dual coordinate ascent, Adv. Neural Inf. Process

P. L. Combettes and J. Pesquet, Stochastic Quasi-Fej??r Block-Coordinate Fixed Point Iterations with Random Sweeping, SIAM Journal on Optimization, vol.25, issue.2, pp.1221-1248, 2015.
DOI : 10.1137/140971233
URL : http://arxiv.org/abs/1404.7536

J. Pesquet and A. Repetti, A class of randomized primal-dual algorithms for distributed optimization, J. Nonlinear Convex Anal, vol.16, issue.12, pp.2453-2490, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01077615

S. Shalev-shwartz and T. Zhang, Stochastic dual coordinate ascent methods for regularized loss minimization, J. Mach. Learn. Res, vol.14, issue.1, pp.567-599, 2013.

Z. Qu, P. Richtárik, and T. Zhang, Randomized dual coordinate ascent with arbitrary sampling, Adv. Neural Inf. Process. Syst, pp.7-12, 2015.

A. Chambolle and T. Pock, A remark on accelerated block coordinate descent for computing the proximity operators of a sum of convex functions, SMAI Journal of Computational Mathematics, vol.1, pp.29-54, 2015.
DOI : 10.5802/smai-jcm.3
URL : https://hal.archives-ouvertes.fr/hal-01099182

P. L. Combettes, D. Dung, and B. C. V?uv?u, Dualization of signal recovery problems Set-Valued Var, Anal, vol.18, issue.3, pp.373-404, 2010.

S. Lojasiewicz, Une propriété topologique des sous-ensembles analytiques réels, Editions du centre National de la Recherche Scientifique, pp.87-89, 1963.

D. Csiba, Z. Qu, and P. Richtárik, Stochastic dual coordinate ascent with adaptive probabilities, 32nd Int. Conf. on Mach. Learn. (ICML 2015), pp.1-6, 2015.

D. A. Lorenz, S. Wenger, F. Schöpfer, and M. A. Magnor, A sparse Kaczmarz solver and a linearized Bregman method for online compressed sensing, 2014 IEEE International Conference on Image Processing (ICIP), pp.27-30, 2014.
DOI : 10.1109/ICIP.2014.7025269

P. L. Combettes and B. C. V?uv?u, Variable metric forward???backward splitting with applications to monotone inclusions in duality, Optimization, vol.76, issue.9, pp.1289-1318, 2014.
DOI : 10.1137/S1052623494250415
URL : https://hal.archives-ouvertes.fr/hal-01158997

E. Chouzenoux, J. Pesquet, and A. Repetti, Variable Metric Forward???Backward Algorithm for Minimizing the Sum of a Differentiable Function and a Convex Function, Journal of Optimization Theory and Applications, vol.21, issue.2, pp.107-132, 2014.
DOI : 10.1007/s10957-013-0465-7
URL : https://hal.archives-ouvertes.fr/hal-00789970

H. H. Bauschke and P. L. , Combettes, Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 2011.
DOI : 10.1007/978-1-4419-9467-7

J. Bolte, T. P. Nguyen, J. Peypouquet, and B. Suter, From error bounds to the complexity of first-order descent methods for convex functions, Mathematical Programming, vol.14, issue.2, 2015.
DOI : 10.1007/s10107-016-1091-6

S. Mallat, Super resolution bandlet upconversion for HD TV, Tech. Rep, 2006.

S. H. Keller, F. Lauze, and M. Nielsen, A Total Variation Motion Adaptive Deinterlacing Scheme, 5th Int. Conf., Scale-Space 2005, pp.7-9, 2005.
DOI : 10.1007/11408031_35

S. H. Keller, Video Upscaling Using Variational Methods The Image Group, 2007.

L. Condat, Semi-local total variation for regularization of inverse problems, 22nd IEEE Eur. Signal Process. Conf. (EUSIPCO 2014), pp.1-5, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00608693

F. Abboud, E. Chouzenoux, J. Pesquet, J. Chenot, and L. Laborelli, A hybrid alternating proximal method for blind video restoration, 22nd IEEE Eur. Signal Process. Conf. (EUSIPCO 2014), pp.1-5, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01077269

J. Bolte, S. Sabach, and M. Teboulle, Proximal alternating linearized minimization for nonconvex and nonsmooth problems, Mathematical Programming, vol.4, issue.1-2, pp.459-494, 2014.
DOI : 10.1007/s10107-013-0701-9
URL : https://hal.archives-ouvertes.fr/hal-00916090

D. Krishnan, T. Tay, and R. Fergus, Blind deconvolution using a normalized sparsity measure, CVPR 2011, pp.21-25, 2011.
DOI : 10.1109/CVPR.2011.5995521

C. Liu, W. T. Freeman, E. H. Adelson, and Y. Weiss, Human-assisted motion annotation, 2008 IEEE Conference on Computer Vision and Pattern Recognition, pp.23-28, 2008.
DOI : 10.1109/CVPR.2008.4587845
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.143.8667

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, Image Quality Assessment: From Error Visibility to Structural Similarity, IEEE Transactions on Image Processing, vol.13, issue.4, pp.600-612, 2004.
DOI : 10.1109/TIP.2003.819861

A. C. Seshadrinathan and . Bovik, Motion Tuned Spatio-Temporal Quality Assessment of Natural Videos, IEEE Transactions on Image Processing, vol.19, issue.2, pp.335-350, 2010.
DOI : 10.1109/TIP.2009.2034992