E. Chouzenoux, J. Idier, and S. Moussaoui, A Majorize–Minimize Strategy for Subspace Optimization Applied to Image Restoration, IEEE Transactions on Image Processing, vol.20, issue.6, pp.1517-1528, 2011.
DOI : 10.1109/TIP.2010.2103083

D. R. Hunter and K. Lange, A Tutorial on MM Algorithms, The American Statistician, vol.58, issue.1, pp.30-37, 2004.
DOI : 10.1198/0003130042836

M. Elad, B. Matalon, and M. Zibulevsky, Coordinate and subspace optimization methods for linear least squares with non-quadratic regularization, Applied and Computational Harmonic Analysis, vol.23, issue.3, pp.346-367, 2007.
DOI : 10.1016/j.acha.2007.02.002

A. R. Conn, N. Gould, A. Sartenaer, and P. L. Toint, On iterated-subspace minimization methods for nonlinear optimization, 1994.

Y. Yuan, Subspace Techniques for Nonlinear Optimization, Some Topics in Industrial and Applied Mathematics Series on Concrete and Applicable Mathematics, pp.206-218, 2007.
DOI : 10.1142/9789812709356_0012

W. W. Hager and H. Zhang, A survey of nonlinear conjugate gradient methods, Pac. J. Optim, vol.2, issue.1, pp.35-58, 2006.

D. C. Liu and J. Nocedal, On the limited memory BFGS method for large scale optimization, Mathematical Programming, vol.32, issue.2, pp.503-528, 1989.
DOI : 10.1007/BF01589116

E. Chouzenoux, A. Jezierska, J. Pesquet, and H. Talbot, A Majorize-Minimize Subspace Approach for $\ell_2-\ell_0$ Image Regularization, SIAM Journal on Imaging Sciences, vol.6, issue.1, pp.563-591, 2013.
DOI : 10.1137/11085997X

E. Chouzenoux, J. Pesquet, H. Talbot, and A. Jezierska, A memory gradient algorithm for ? 2 -? 0 regularization with applications to image restoration, 18th IEEE Int. Conf. Image Process. (ICIP 2011), pp.11-14, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00687500

A. Florescu, E. Chouzenoux, J. Pesquet, P. Ciuciu, and S. Ciochina, A Majorize-Minimize Memory Gradient method for complex-valued inverse problems, Special issue on Image Restoration and Enhancement: Recent Advances and Applications, pp.285-295, 2014.
DOI : 10.1016/j.sigpro.2013.09.026
URL : https://hal.archives-ouvertes.fr/hal-00829788

E. Chouzenoux and J. Pesquet, A stochastic majorize-minimize subspace algorithm for online penalized least squares estimation, Tech. Rep, 2015.

A. Miele and J. W. Cantrell, Study on a memory gradient method for the minimization of functions, Journal of Optimization Theory and Applications, vol.3, issue.6, pp.459-470, 1969.
DOI : 10.1007/BF00929359

M. Allain, J. Idier, and Y. Goussard, On global and local convergence of half-quadratic algorithms, IEEE Transactions on Image Processing, vol.15, issue.5, pp.1130-1142, 2006.
DOI : 10.1109/TIP.2005.864173
URL : https://hal.archives-ouvertes.fr/hal-00400663

M. Nikolova and M. Ng, Analysis of Half-Quadratic Minimization Methods for Signal and Image Recovery, SIAM Journal on Scientific Computing, vol.27, issue.3, pp.937-966, 2005.
DOI : 10.1137/030600862

M. W. Jacobson and J. A. Fessler, An Expanded Theoretical Treatment of Iteration-Dependent Majorize-Minimize Algorithms, IEEE Transactions on Image Processing, vol.16, issue.10, pp.2411-2422, 2007.
DOI : 10.1109/TIP.2007.904387

Z. Zhang, J. T. Kwok, and D. Yeung, Surrogate maximization/minimization algorithms and extensions, Machine Learning, vol.11, issue.2, pp.1-33, 2007.
DOI : 10.1007/s10994-007-5022-x
URL : http://repository.ust.hk/ir/bitstream/1783.1-3353/1/yeung.mlj20071.pdf

M. Hong, M. Razaviyayn, Z. Q. Luo, and J. S. Pang, A Unified Algorithmic Framework for Block-Structured Optimization Involving Big Data: With applications in machine learning and signal processing, IEEE Signal Processing Magazine, vol.33, issue.1, pp.57-77, 2016.
DOI : 10.1109/MSP.2015.2481563

M. Figueiredo, J. Bioucas-dias, and R. Nowak, Majorization–Minimization Algorithms for Wavelet-Based Image Restoration, IEEE Transactions on Image Processing, vol.16, issue.12, pp.2980-2991, 2007.
DOI : 10.1109/TIP.2007.909318

J. A. Fessler and H. Erdogan, A paraboloidal surrogates algorithm for convergent penalized-likelihood emission image reconstruction, 1998 IEEE Nuclear Science Symposium Conference Record. 1998 IEEE Nuclear Science Symposium and Medical Imaging Conference (Cat. No.98CH36255), pp.8-14, 1998.
DOI : 10.1109/NSSMIC.1998.774361

A. Repetti, M. Q. Pham, L. Duval, E. Chouzenoux, and J. Pesquet, Euclid in a Taxicab: Sparse Blind Deconvolution with Smoothed <formula formulatype="inline"><tex Notation="TeX">${\ell _1}/{\ell _2}$</tex></formula> Regularization, IEEE Signal Processing Letters, vol.22, issue.5, pp.539-543, 2015.
DOI : 10.1109/LSP.2014.2362861

X. Ning, I. W. Selesnick, and L. Duval, Chromatogram baseline estimation and denoising using sparsity (BEADS), Chemometrics and Intelligent Laboratory Systems, vol.139, pp.156-167, 2014.
DOI : 10.1016/j.chemolab.2014.09.014
URL : https://hal.archives-ouvertes.fr/hal-01330608

J. Song, P. Babu, and D. P. Palomar, Sparse Generalized Eigenvalue Problem Via Smooth Optimization, IEEE Transactions on Signal Processing, vol.63, issue.7, pp.1627-1642, 2015.
DOI : 10.1109/TSP.2015.2394443
URL : http://arxiv.org/abs/1408.6686

J. Idier, Convex half-quadratic criteria and interacting auxiliary variables for image restoration, IEEE Transactions on Image Processing, vol.10, issue.7, pp.1001-1009, 2001.
DOI : 10.1109/83.931094

P. Charbonnier, L. Blanc-féraud, G. Aubert, and M. Barlaud, Deterministic edge-preserving regularization in computed imaging, IEEE Transactions on Image Processing, vol.6, issue.2, pp.298-311, 1997.
DOI : 10.1109/83.551699

C. Labat and J. Idier, Convergence of Conjugate Gradient Methods with??a??Closed-Form Stepsize Formula, Journal of Optimization Theory and Applications, vol.21, issue.1, pp.43-60, 2008.
DOI : 10.1007/s10957-007-9306-x
URL : https://hal.archives-ouvertes.fr/hal-00399453

K. Lange, A gradient algorithm locally equivalent to the EM algorithm, J. R. Stat. Soc. Series B Stat. Methodol, vol.57, issue.2, pp.425-437, 1995.

H. H. Bauschke and P. L. , Combettes, Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 2011.

E. Polak, Optimization. Algorithms and Consistent Approximations, 1997.

A. M. Ostrowski, Solution of Equations in Euclidean and Banach Spaces, 1973.