E. Moreau, A generalization of joint-diagonalization criteria for source separation, IEEE Transactions on Signal Processing, vol.49, issue.3, pp.530-541, 2001.
DOI : 10.1109/78.905873

URL : https://hal.archives-ouvertes.fr/hal-01479860

X. Luciani and L. Albera, Joint Eigenvalue Decomposition of Non-Defective Matrices Based on the LU Factorization With Application to ICA, IEEE Transactions on Signal Processing, vol.63, issue.17, pp.4594-4608, 2015.
DOI : 10.1109/TSP.2015.2440219

URL : https://hal.archives-ouvertes.fr/hal-01479797

C. , D. Luigi, and E. Moreau, Optimal joint diagonalization of complex symmetric third-order tensors. application to separation of non circular signals, Independent Component Analysis and Signal Separation, pp.25-32, 2007.

A. L. De-almeida, G. Favier, and J. C. Mota, PARAFAC-based unified tensor modeling for wireless communication systems with application to blind multiuser equalization, Signal Processing, vol.87, issue.2, pp.337-351, 2007.
DOI : 10.1016/j.sigpro.2005.12.014

URL : https://hal.archives-ouvertes.fr/hal-00417636

A. Smilde, R. Bro, and P. Geladi, Multi-way analysis: applications in the chemical sciences, 2005.
DOI : 10.1002/0470012110

X. Luciani and L. Albera, Canonical Polyadic Decomposition based on joint eigenvalue decomposition, Chemometrics and Intelligent Laboratory Systems, vol.132, pp.152-167, 2014.
DOI : 10.1016/j.chemolab.2013.12.009

URL : https://hal.archives-ouvertes.fr/hal-00949746

H. Becker, L. Albera, P. Comon, M. Haardt, G. Birot et al., EEG extended source localization: Tensor-based vs. conventional methods, NeuroImage, vol.96, pp.143-157, 2014.
DOI : 10.1016/j.neuroimage.2014.03.043

URL : https://hal.archives-ouvertes.fr/hal-01011856

S. Sahnoun and P. Comon, Joint Source Estimation and Localization, IEEE Transactions on Signal Processing, vol.63, issue.10, 2015.
DOI : 10.1109/TSP.2015.2404311

URL : https://hal.archives-ouvertes.fr/hal-01005352

B. Savas, Algorithms in Data Mining using Matrix and Tensor Metho ds, 2008.

H. A. Kiers, Towards a standardized notation and terminology in multiway analysis, Journal of Chemometrics, vol.56, issue.3, pp.105-122, 2000.
DOI : 10.1007/BF02294485

J. M. Berge, Kruskal's polynomial for 2??2??2 arrays and a generalization to 2??n??n arrays, Psychometrika, vol.18, issue.4, pp.631-636, 1991.
DOI : 10.1007/BF02294495

J. Brachat, P. Comon, B. Mourrain, and E. Tsigaridas, Symmetric tensor decomposition, Linear Algebra and its Applications, vol.433, issue.11-12, pp.1851-1872, 2010.
DOI : 10.1016/j.laa.2010.06.046

URL : https://hal.archives-ouvertes.fr/hal-00435908

L. and D. Lathauwer, A Link between the Canonical Decomposition in Multilinear Algebra and Simultaneous Matrix Diagonalization, SIAM Journal on Matrix Analysis and Applications, vol.28, issue.3, pp.642-666, 2006.
DOI : 10.1137/040608830

L. Oeding and G. Ottaviani, Eigenvectors of tensors and algorithms for Waring decomposition, Journal of Symbolic Computation, vol.54, pp.9-35, 2013.
DOI : 10.1016/j.jsc.2012.11.005

C. J. Hillar and L. Lim, Most Tensor Problems Are NP-Hard, Journal of the ACM, vol.60, issue.6, p.45, 2013.
DOI : 10.1145/2512329

V. , D. Silva, and L. Lim, Tensor rank and the ill-posedness of the best low-rank approximation problem, SIAM Journal on Matrix Analysis and Applications, vol.30, issue.3, pp.1084-1127, 2008.

P. Comon, X. Luciani, and A. L. De-almeida, Tensor decompositions, alternating least squares and other tales, Journal of Chemometrics, vol.78, issue.8, pp.393-405, 2009.
DOI : 10.1016/j.laa.2009.01.014/

URL : https://hal.archives-ouvertes.fr/hal-00410057

T. G. Kolda and B. W. Bader, Tensor Decompositions and Applications, SIAM Review, vol.51, issue.3, pp.455-500, 2009.
DOI : 10.1137/07070111X

M. Rajih, P. Comon, and R. A. Harshman, Enhanced Line Search: A Novel Method to Accelerate PARAFAC, SIAM Journal on Matrix Analysis and Applications, vol.30, issue.3, pp.1128-1147, 2008.
DOI : 10.1137/06065577

URL : https://hal.archives-ouvertes.fr/hal-00327595

L. Sorber, M. Van-barel, and L. De-lathauwer, Optimization-Based Algorithms for Tensor Decompositions: Canonical Polyadic Decomposition, Decomposition in Rank-$(L_r,L_r,1)$ Terms, and a New Generalization, SIAM Journal on Optimization, vol.23, issue.2, pp.695-720, 2013.
DOI : 10.1137/120868323

G. Tomasi and R. Bro, A comparison of algorithms for fitting the PARAFAC model, Computational Statistics & Data Analysis, vol.50, issue.7, pp.1700-1734, 2006.
DOI : 10.1016/j.csda.2004.11.013

P. Paatero, A weighted non-negative least squares algorithm for three-way ???PARAFAC??? factor analysis, Chemometrics and Intelligent Laboratory Systems, vol.38, issue.2, pp.223-242, 1997.
DOI : 10.1016/S0169-7439(97)00031-2

W. Hackbusch, Tensor spaces and numerical tensor calculus, 2012.
DOI : 10.1007/978-3-642-28027-6

P. Comon, Tensors : A brief introduction, IEEE Signal Processing Magazine, vol.31, issue.3, pp.44-53, 2014.
DOI : 10.1109/MSP.2014.2298533

URL : https://hal.archives-ouvertes.fr/hal-00923279

H. Abo, G. Ottaviani, and C. Peterson, Induction for secant varieties of Segre varieties, Transactions of the American Mathematical Society, vol.361, issue.02, pp.767-792, 2009.
DOI : 10.1090/S0002-9947-08-04725-9

J. M. Landsberg, Tensors: geometry and applications, 2012.
DOI : 10.1090/gsm/128

T. Zhang and G. H. Golub, Rank-One Approximation to High Order Tensors, SIAM Journal on Matrix Analysis and Applications, vol.23, issue.2, pp.534-550, 2001.
DOI : 10.1137/S0895479899352045

X. Shi, H. Ling, J. Xing, and W. Hu, Multi-target Tracking by Rank-1 Tensor Approximation, 2013 IEEE Conference on Computer Vision and Pattern Recognition, pp.2387-2394, 2013.
DOI : 10.1109/CVPR.2013.309

URL : http://www.dabi.temple.edu/~hbling/publication/tensor-mda-7.pdf

Y. Yang, Y. Feng, X. Huang, and J. Suykens, Rank-1 Tensor Properties with Applications to a Class of Tensor Optimization Problems, SIAM Journal on Optimization, vol.26, issue.1, pp.171-196, 2016.
DOI : 10.1137/140983689

J. B. Lasserre, Global Optimization with Polynomials and the Problem of Moments, SIAM Journal on Optimization, vol.11, issue.3, pp.796-817, 2001.
DOI : 10.1137/S1052623400366802

M. A. Bucero and B. Mourrain, Border basis relaxation for polynomial optimization, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00981546

J. Nie and L. Wang, Semidefinite Relaxations for Best Rank-1 Tensor Approximations, SIAM Journal on Matrix Analysis and Applications, vol.35, issue.3, pp.1155-1179, 2014.
DOI : 10.1137/130935112

URL : http://arxiv.org/pdf/1308.6562.pdf

A. Uschmajew, Local Convergence of the Alternating Least Squares Algorithm for Canonical Tensor Approximation, SIAM Journal on Matrix Analysis and Applications, vol.33, issue.2, pp.639-652, 2012.
DOI : 10.1137/110843587

L. De-lathauwer, B. De, J. Moor, and . Vandewalle, A Multilinear Singular Value Decomposition, SIAM Journal on Matrix Analysis and Applications, vol.21, issue.4, pp.1253-1278, 2000.
DOI : 10.1137/S0895479896305696

N. Vannieuwenhoven, R. Vandebril, and K. Meerbergen, A New Truncation Strategy for the Higher-Order Singular Value Decomposition, SIAM Journal on Scientific Computing, vol.34, issue.2, pp.1027-1052, 2012.
DOI : 10.1137/110836067

P. Comon and G. H. Golub, Tracking a few extreme singular values and vectors in signal processing, Proceedings of the IEEE, pp.1327-1343, 1990.
DOI : 10.1109/5.58320

A. P. Da-silva, P. Comon, and A. L. De-almeida, Rank-1 tensor approximation methods and application to deflation, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01186615