E. Ballico and A. Bernardi, Stratification of the fourth secant variety of Veronese varieties via the symmetric rank, Advances in Pure and Applied Mathematics, vol.4, issue.2, 2010.
DOI : 10.1515/apam-2013-0015

A. Bernardi, Ideals of varieties parameterized by certain symmetric tensors, Journal of Pure and Applied Algebra, vol.212, issue.6, pp.1542-1559, 2008.
DOI : 10.1016/j.jpaa.2007.10.022
URL : https://hal.archives-ouvertes.fr/hal-00645965

A. Bernardi, A. Gimigliano, and M. Idà, Computing symmetric rank for symmetric tensors, Journal of Symbolic Computation, vol.46, issue.1, pp.34-53, 2011.
DOI : 10.1016/j.jsc.2010.08.001
URL : https://hal.archives-ouvertes.fr/hal-00645973

D. Bini, M. Capovani, F. Romani, and G. Lotti, O(n2.7799) complexity for n ?? n approximate matrix multiplication, Information Processing Letters, vol.8, issue.5, pp.234-235, 1979.
DOI : 10.1016/0020-0190(79)90113-3
URL : https://hal.archives-ouvertes.fr/hal-00305432

J. Brachat, P. Comon, B. Mourrain, and E. Tsigaridas, Symmetric tensor decomposition. Linear Algebra and Applications, pp.1851-1872, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00355713

R. Bro, PARAFAC. Tutorial and applications, Chemometrics and Intelligent Laboratory Systems, vol.38, issue.2, pp.149-171, 1997.
DOI : 10.1016/S0169-7439(97)00032-4

J. Buczynski, A. Ginensky, and J. M. Landsberg, Determinental equations for secant varieties and the Eisenbud-Koh-Stillman conjecture, 1007.

P. Bürgisser, M. Clausen, and M. A. Shokrollahi, Algebraic complexity theory
DOI : 10.1007/978-3-662-03338-8

. Springer-verlag, With the collaboration of Thomas Lickteig, 1997.

J. F. Cardoso, Blind signal separation: statistical principles, Proc. of the IEEE, pp.2009-2025, 1998.
DOI : 10.1109/5.720250
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.7237

P. Chevalier, Optimal separation of independent narrow-band sources: Concept and performance, Signal Processing, vol.73, issue.1-2, pp.27-48, 1999.
DOI : 10.1016/S0165-1684(98)00183-2

P. Chevalier, L. Albera, A. Ferreol, and P. Comon, On the virtual array concept for higher order array processing, IEEE Transactions on Signal Processing, vol.53, issue.4, pp.1254-1271, 2005.
DOI : 10.1109/TSP.2005.843703

A. Cichocki and S. Amari, Adaptive Blind Signal and Image Processing, 2002.
DOI : 10.1002/0470845899

G. Comas and M. Seiguer, On the Rank of a Binary Form, Foundations of Computational Mathematics, vol.117, issue.2, 2001.
DOI : 10.1007/s10208-010-9077-x

P. Comon, Independent Component Analysis
URL : https://hal.archives-ouvertes.fr/hal-00346684

P. Comon and B. Mourrain, Decomposition of quantics in sums of powers of linear forms, Signal Processing, vol.53, issue.2-3, pp.93-107, 1996.
DOI : 10.1016/0165-1684(96)00079-5

P. Comon and M. Rajih, Blind identification of under-determined mixtures based on the characteristic function, Signal Processing, vol.86, issue.9, pp.2271-2281, 2006.
DOI : 10.1016/j.sigpro.2005.10.007
URL : https://hal.archives-ouvertes.fr/hal-00263668

D. Cox, J. Little, and D. Shea, Ideals, Varieties, and Algorithms. Undergraduate Texts in Mathematics, 1997.

D. Cox, J. Little, and D. Shea, Using Algebraic Geometry. Number 185 in Graduate Texts in Mathematics, 2005.

L. De-lathauwer and J. Castaing, Tensor-based techniques for the blind separation of DS???CDMA signals, Signal Processing, vol.87, issue.2, pp.322-336, 2007.
DOI : 10.1016/j.sigpro.2005.12.015

M. C. Dogan and J. Mendel, Applications of cumulants to array processing .I. Aperture extension and array calibration, IEEE Transactions on Signal Processing, vol.43, issue.5, pp.1200-1216, 1995.
DOI : 10.1109/78.382404

D. L. Donoho and X. Huo, Uncertainty principles and ideal atomic decomposition, IEEE Transactions on Information Theory, vol.47, issue.7, pp.2845-2862, 2001.
DOI : 10.1109/18.959265
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.161.9300

M. Elkadi and B. Mourrain, IntroductionàIntroduction`Introductionà la résolution des systèmes polynomiaux, Math´matiquesMath´ Math´matiques et Applications, vol.59, 2007.

A. Ferreol and P. Chevalier, On the behavior of current second and higher order blind source separation methods for cyclostationary sources, IEEE Transactions on Signal Processing, vol.48, issue.6, pp.1712-1725990, 2000.
DOI : 10.1109/78.845929

A. V. Geramita, Catalecticant varieties, Commutative algebra and algebraic geometry, pp.143-156, 1999.

R. Grone, Decomposable tensors as a quadratic variety, Proceedings of the American Mathematical Society, vol.64, issue.2, pp.227-230, 1977.
DOI : 10.1090/S0002-9939-1977-0472853-X

A. Iarrobino and V. Kanev, Power sums, Gorenstein algebras, and determinantal loci, volume 1721 of Lecture Notes in Computer Science, 1999.

T. Jiang and N. Sidiropoulos, Kruskal's Permutation Lemma and the Identification of CANDECOMP/PARAFAC and Bilinear Models with Constant Modulus Constraints, IEEE Transactions on Signal Processing, vol.52, issue.9, pp.2625-2636, 2004.
DOI : 10.1109/TSP.2004.832022

H. A. Kiers and W. P. Krijnen, An efficient algorithm for PARAFAC of three-way data with large numbers of observation units, Psychometrika, vol.22, issue.1, p.147, 1991.
DOI : 10.1007/BF02294592

J. Landsberg, Geometry and the complexity of matrix multiplication, Bulletin of the American Mathematical Society, vol.45, issue.02, pp.247-284, 2008.
DOI : 10.1090/S0273-0979-08-01176-2

J. M. Landsberg and L. Manivel, Generalizations of Strassen's Equations for Secant Varieties of Segre Varieties, Communications in Algebra, vol.384, issue.4, pp.405-422, 2008.
DOI : 10.1080/00927870701715746

J. M. Landsberg and G. Ottaviani, Equations for secant varieties of Veronese and other varieties, Annali di Matematica Pura ed Applicata, vol.52, issue.53, 2010.
DOI : 10.1007/s10231-011-0238-6

J. M. Landsberg and G. Ottaviani, Equations for secant varieties via vector bundles, 2010.
DOI : 10.1007/s10231-011-0238-6
URL : http://arxiv.org/abs/1111.4567

J. M. Landsberg and J. Weyman, On the ideals and singularities of secant varieties of Segre varieties, Bulletin of the London Mathematical Society, vol.39, issue.4, pp.685-697, 2007.
DOI : 10.1112/blms/bdm049

M. Laurent and B. Mourrain, A generalized flat extension theorem for moment matrices, Archiv der Mathematik, vol.38, issue.1, pp.87-98, 2009.
DOI : 10.1007/s00013-009-0007-6

B. Mourrain and V. Y. Pan, Multivariate Polynomials, Duality, and Structured Matrices, Journal of Complexity, vol.16, issue.1, pp.110-180, 2000.
DOI : 10.1006/jcom.1999.0530
URL : https://hal.archives-ouvertes.fr/inria-00073171

G. Ottaviani, Abstract, Nagoya Mathematical Journal, vol.525, pp.95-110, 2009.
DOI : 10.1016/0024-3795(92)90437-F

A. Parolin, Varietà secanti alle varietà di segre e di veronese e loro applicazioni, tesi di dottorato, 2003.

M. Pucci, The Veronese Variety and Catalecticant Matrices, Journal of Algebra, vol.202, issue.1, pp.72-95, 1998.
DOI : 10.1006/jabr.1997.7190

N. D. Sidiropoulos, R. Bro, and G. B. Giannakis, Parallel factor analysis in sensor array processing, IEEE Transactions on Signal Processing, vol.48, issue.8, pp.2377-2388, 2000.
DOI : 10.1109/78.852018
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.21.4217

N. D. Sidiropoulos, G. B. Giannakis, and R. Bro, Blind PARAFAC receivers for DS-CDMA systems, IEEE Transactions on Signal Processing, vol.48, issue.3, pp.810-823, 2000.
DOI : 10.1109/78.824675
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.1676

V. Strassen, Rank and optimal computation of generic tensors, Linear Algebra Appl, vol.52, pp.645-685, 1983.

A. Swami, G. Giannakis, and S. Shamsunder, Multichannel ARMA processes, IEEE Transactions on Signal Processing, vol.42, issue.4, pp.898-913, 1994.
DOI : 10.1109/78.285653

J. J. Sylvester, Sur une extension d'un théorème de Clebsch relatif aux courbes duquatrì eme degré, Comptes Rendus, Math. Acad. Sci. Paris, vol.102, pp.1532-1534, 1886.

A. J. Van-der-veen and A. Paulraj, An analytical constant modulus algorithm, IEEE Transactions on Signal Processing, vol.44, issue.5, pp.1136-1155, 1996.
DOI : 10.1109/78.502327

K. Wakeford, On Canonical Forms, Proceedings of the London Mathematical Society, vol.2, issue.1, pp.403-410
DOI : 10.1112/plms/s2-18.1.403