L. A. Poyneer and J. Véran, Optimal modal Fourier-transform wavefront control, Journal of the Optical Society of America A, vol.22, issue.8, pp.1515-1526, 2005.
DOI : 10.1364/JOSAA.22.001515

C. Z. Bond, C. M. Correia, J. Sauvage, B. Neichel, and T. Fusco, Iterative wave-front reconstruction in the Fourier domain, Optics Express, vol.25, issue.10, pp.11452-11465, 2017.
DOI : 10.1364/OE.25.011452

URL : https://hal.archives-ouvertes.fr/hal-01653279

M. Rosensteiner, Cumulative Reconstructor: fast wavefront reconstruction algorithm for Extremely Large Telescopes, Journal of the Optical Society of America A, vol.28, issue.10, pp.2132-2138, 2011.
DOI : 10.1364/JOSAA.28.002132

R. Ramlau, D. Saxenhuber, and M. Yudytskiy, Iterative reconstruction methods in atmospheric tomography: FEWHA, Kaczmarz and Gradientbased algorithm, ProcSPIE, vol.9148, p.91480, 2014.
DOI : 10.1117/12.2057379

B. L. Ellerbroek and C. R. Vogel, Inverse problems in astronomical adaptive optics, Inverse Problems, vol.25, issue.6, p.63001, 2009.
DOI : 10.1088/0266-5611/25/6/063001

E. Thiébaut and M. Tallon, Fast minimum variance wavefront reconstruction for extremely large telescopes, Journal of the Optical Society of America A, vol.27, issue.5, pp.1046-1059, 2010.
DOI : 10.1364/JOSAA.27.001046

F. Vidal, E. Gendron, and G. Rousset, Tomography approach for multi-object adaptive optics, Journal of the Optical Society of America A, vol.27, issue.11, pp.253-264, 2010.
DOI : 10.1364/JOSAA.27.00A253

O. Martin, É. Gendron, G. Rousset, and F. Vidal, Temporal convergence of phase spatial covariance matrix measurements in tomographic adaptive optics, Adaptive Optics Systems III, p.84472, 2012.
DOI : 10.1117/12.924845

C. Correia, K. Jackson, J. Véran, D. Andersen, O. Lardière et al., Static and predictive tomographic reconstruction for wide-field multi-object adaptive optics systems, Journal of the Optical Society of America A, vol.31, issue.1, pp.101-113, 2014.
DOI : 10.1364/JOSAA.31.000101

R. Conan, Fast iterative optimal estimation of turbulence wavefronts with recursive block toeplitz covariance matrix, ProcSPIE, vol.9148, p.91480, 2014.
DOI : 10.1117/12.2054472

L. Gilles and B. L. Ellerbroek, Split atmospheric tomography using laser and natural guide stars, Journal of the Optical Society of America A, vol.25, issue.10, pp.2427-2435, 2008.
DOI : 10.1364/JOSAA.25.002427

URL : https://authors.library.caltech.edu/12522/1/GILjosaa08.pdf

T. Fusco, J. Conan, G. Rousset, L. M. Mugnier, and V. Michau, Optimal wave-front reconstruction strategies for multiconjugate adaptive optics, Journal of the Optical Society of America A, vol.18, issue.10, pp.2527-2538, 2001.
DOI : 10.1364/JOSAA.18.002527

B. L. Ellerbroek, Efficient computation of minimum-variance wave-front reconstructors with sparse matrix techniques, Journal of the Optical Society of America A, vol.19, issue.9, pp.1803-1816, 2002.
DOI : 10.1364/JOSAA.19.001803

L. Gilles, P. Massioni, C. Kulcsár, H. Raynaud, and B. Ellerbroek, Distributed Kalman filtering compared to Fourier domain preconditioned conjugate gradient for laser guide star tomography on extremely large telescopes, Journal of the Optical Society of America A, vol.30, issue.5, p.898, 2013.
DOI : 10.1364/JOSAA.30.000898

URL : https://hal.archives-ouvertes.fr/hal-00813593

C. Robert, J. Conan, D. Gratadour, L. Schreiber, and T. Fusco, Tomographic wavefront error using multi-LGS constellation sensed with Shack???Hartmann wavefront sensors, Journal of the Optical Society of America A, vol.27, issue.11, pp.201-215, 2010.
DOI : 10.1364/JOSAA.27.00A201

T. Butterley, R. W. Wilson, and M. Sarazin, Determination of the profile of atmospheric optical turbulence strength from SLODAR data, Monthly Notices of the Royal Astronomical Society, vol.268, issue.2, pp.835-845, 2006.
DOI : 10.1093/mnras/278.1.39

D. Lee, Fast multiplication of a recursive block Toeplitz matrix by a vector and its application, Journal of Complexity, vol.2, issue.4, pp.295-305, 1986.
DOI : 10.1016/0885-064X(86)90007-5

M. Soni and P. Kunthe, A General Comparison of FFT Algorithms, presented at Pioneer Insitute Orofessional Studies, Indore 12th Natl. Conf. Indore, 2011.

Y. Saad, Iterative Methods for Sparse Linear Systems, 2003.
DOI : 10.1137/1.9780898718003

C. Vogel, Computational Methods for Inverse Problems, Society for Industrial & Applied Mathematics, 2002.
DOI : 10.1137/1.9780898717570

B. L. Ellerbroek, A linear model for shack-hartmann sensors Adaptive Optics: Methods, Analysis and Applications, p.1, 2009.

C. R. Vogel, Sparse matrix methods for wavefront reconstruction, revisited, Advancements in Adaptive Optics, pp.1327-1335, 2004.
DOI : 10.1117/12.548689

URL : http://www.math.montana.edu/~vogel/Papers/04SPIE.pdf

R. Conan and C. Correia, Object-oriented matlab adaptive optics toolbox, Proc. SPIE 9148, p.91486, 2014.
DOI : 10.1117/12.2054470

L. H. Lee, Sparse-Matrix Regularization for Minimum-Variance Reconstruction of Pseudo-Kolmogorov Turbulence Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD-ROM, p.2, 2007.

E. Gendron, C. Morel, J. Osborn, O. M. Gratadour, F. Vidal et al., Robustness of tomographic reconstructors versus real atmospheric profiles in the ELT perspective, ProcSPIE 9148, p.91484, 2014.

L. Blanco, C. Correia, T. Fusco, B. Neichel, and Y. Ono, LGS spot truncation mitigation in ELTs: optimizing the pixel usage, 5th AO4ELT Conference -Adaptative Optics for Extremely Large Telescopes proceedings AO4ELT Conference, 2017.

L. Lessard, D. Macmynowski, M. West, A. Bouchez, and S. Lall, Experimental validation of single-iteration multigrid wavefront reconstruction at the Palomar Observatory, Optics Letters, vol.33, issue.18, pp.2047-2049, 2008.
DOI : 10.1364/OL.33.002047

J. W. Hardy, Physics Today, vol.53, issue.4, 1998.
DOI : 10.1063/1.883053

C. M. Correia and J. Teixeira, Anti-aliasing Wiener filtering for wave-front reconstruction in the spatial-frequency domain for high-order astronomical adaptive-optics systems, Journal of the Optical Society of America A, vol.31, issue.12, p.2763, 2014.
DOI : 10.1364/JOSAA.31.002763