-
2
-
-
0001189855
-
Polynomial interpolation in several variables
-
Alexander J., Hirschowitz A. Polynomial interpolation in several variables. J. Algebraic Geom. 1995, 4:201-222.
-
(1995)
J. Algebraic Geom.
, vol.4
, pp. 201-222
-
-
Alexander, J.1
Hirschowitz, A.2
-
3
-
-
38849106185
-
Phylogenetic ideals and varieties for the general Markov model
-
Allman E.S., Rhodes J.A. Phylogenetic ideals and varieties for the general Markov model. Adv. in Appl. Math. 2008, 40(2):127-148.
-
(2008)
Adv. in Appl. Math.
, vol.40
, Issue.2
, pp. 127-148
-
-
Allman, E.S.1
Rhodes, J.A.2
-
4
-
-
0007775677
-
On the maximal multiplicative complexity of a family of bilinear forms
-
Atkinson M.D., Stephens N.M. On the maximal multiplicative complexity of a family of bilinear forms. Linear Algebra Appl. 1979, 27:1-8.
-
(1979)
Linear Algebra Appl.
, vol.27
, pp. 1-8
-
-
Atkinson, M.D.1
Stephens, N.M.2
-
6
-
-
39049169968
-
Ideals of varieties parameterized by certain symmetric tensors
-
Bernardi A. Ideals of varieties parameterized by certain symmetric tensors. J. Pure Appl. Algebra 2008, 212(6):1542-1559.
-
(2008)
J. Pure Appl. Algebra
, vol.212
, Issue.6
, pp. 1542-1559
-
-
Bernardi, A.1
-
7
-
-
79959639350
-
Multihomogeneous polynomial decomposition using moment matrices
-
ACM, New York, A. Leykin (Ed.)
-
Bernardi A., Brachat J., Comon P., Mourrain B. Multihomogeneous polynomial decomposition using moment matrices. International Symposium on Symbolic and Algebraic Computation (ISSAC) 2011, 35-42. ACM, New York. A. Leykin (Ed.).
-
(2011)
International Symposium on Symbolic and Algebraic Computation (ISSAC)
, pp. 35-42
-
-
Bernardi, A.1
Brachat, J.2
Comon, P.3
Mourrain, B.4
-
10
-
-
77957252013
-
Symmetric tensor decomposition
-
Brachat J., Comon P., Mourrain B., Tsigaridas E. Symmetric tensor decomposition. Linear Algebra Appl. 2010, 433:1851-1872.
-
(2010)
Linear Algebra Appl.
, vol.433
, pp. 1851-1872
-
-
Brachat, J.1
Comon, P.2
Mourrain, B.3
Tsigaridas, E.4
-
11
-
-
0030813663
-
Parafac, tutorial and applications
-
Bro R. Parafac, tutorial and applications. Chemom. Intell. Lab. Syst. 1997, 38:149-171.
-
(1997)
Chemom. Intell. Lab. Syst.
, vol.38
, pp. 149-171
-
-
Bro, R.1
-
13
-
-
0000817992
-
Algebraic Complexity Theory
-
Springer-Verlag, Berlin, With the collaboration of Thomas Lickteig
-
Bürgisser P., Clausen M., Shokrollahi M.A. Algebraic Complexity Theory. Grundlehren der Mathematischen Wissenschaften 1997, vol. 315. Springer-Verlag, Berlin, With the collaboration of Thomas Lickteig.
-
(1997)
Grundlehren der Mathematischen Wissenschaften
, vol.315
-
-
Bürgisser, P.1
Clausen, M.2
Shokrollahi, M.A.3
-
14
-
-
0032187518
-
Blind signal separation: statistical principles
-
special issue
-
Cardoso J.F. Blind signal separation: statistical principles. Proc. IEEE 1998, 90(special issue):2009-2025.
-
(1998)
Proc. IEEE
, vol.90
, pp. 2009-2025
-
-
Cardoso, J.F.1
-
15
-
-
0037720088
-
Ranks of tensors, secant varieties of Segre varieties and fat points
-
(Erratum)
-
Catalisano M.V., Geramita A.V., Gimigliano A. Ranks of tensors, secant varieties of Segre varieties and fat points. Linear Algebra Appl.. Linear Algebra Appl. 2003, 367:347-348. (Erratum).
-
(2003)
Linear Algebra Appl.. Linear Algebra Appl.
, vol.367
, pp. 347-348
-
-
Catalisano, M.V.1
Geramita, A.V.2
Gimigliano, A.3
-
16
-
-
38349101857
-
On the ideals of secant varieties to certain rational varieties
-
Catalisano M.V., Geramita A.V., Gimigliano A. On the ideals of secant varieties to certain rational varieties. J. Algebra 2008, 319(5):1913-1931.
-
(2008)
J. Algebra
, vol.319
, Issue.5
, pp. 1913-1931
-
-
Catalisano, M.V.1
Geramita, A.V.2
Gimigliano, A.3
-
17
-
-
0033076798
-
Optimal separation of independent narrow-band sources - concept and performance
-
Special issue on blind separation and deconvolution
-
Chevalier P. Optimal separation of independent narrow-band sources - concept and performance. Signal Process. 1999, 73(1):27-48. Special issue on blind separation and deconvolution.
-
(1999)
Signal Process.
, vol.73
, Issue.1
, pp. 27-48
-
-
Chevalier, P.1
-
18
-
-
17444381528
-
On the virtual array concept for higher order array processing
-
Chevalier P., Albera L., Ferreol A., Comon P. On the virtual array concept for higher order array processing. IEEE Trans. Signal Process. 2005, 53(4):1254-1271.
-
(2005)
IEEE Trans. Signal Process.
, vol.53
, Issue.4
, pp. 1254-1271
-
-
Chevalier, P.1
Albera, L.2
Ferreol, A.3
Comon, P.4
-
21
-
-
78651383517
-
On the rank of a binary form
-
Comas G., Seiguer M. On the rank of a binary form. Found. Comput. Math. 2011, 11(1):65-78.
-
(2011)
Found. Comput. Math.
, vol.11
, Issue.1
, pp. 65-78
-
-
Comas, G.1
Seiguer, M.2
-
22
-
-
34447266299
-
Independent component analysis
-
Elsevier, Amsterdam, London, J.-L. Lacoume (Ed.)
-
Comon P. Independent component analysis. Higher Order Statistics 1992, 29-38. Elsevier, Amsterdam, London. J.-L. Lacoume (Ed.).
-
(1992)
Higher Order Statistics
, pp. 29-38
-
-
Comon, P.1
-
23
-
-
77956012298
-
-
Academic Press, Oxford UK, Burlington USA, P. Comon, C. Jutten (Eds.)
-
Handbook of Blind Source Separation, Independent Component Analysis and Applications 2010, Academic Press, Oxford UK, Burlington USA. P. Comon, C. Jutten (Eds.).
-
(2010)
Handbook of Blind Source Separation, Independent Component Analysis and Applications
-
-
-
24
-
-
70349656252
-
Tensor decompositions, alternating least squares and other tales
-
Comon P., Luciani X., De Almeida A.L.F. Tensor decompositions, alternating least squares and other tales. J. Chemom. 2009, 23:393-405.
-
(2009)
J. Chemom.
, vol.23
, pp. 393-405
-
-
Comon, P.1
Luciani, X.2
De Almeida, A.L.F.3
-
25
-
-
0030234706
-
Decomposition of quantics in sums of powers of linear forms
-
Comon P., Mourrain B. Decomposition of quantics in sums of powers of linear forms. Signal Process. 1996, 53(2-3):93-107.
-
(1996)
Signal Process.
, vol.53
, Issue.2-3
, pp. 93-107
-
-
Comon, P.1
Mourrain, B.2
-
26
-
-
33745916802
-
Blind identification of under-determined mixtures based on the characteristic function
-
Comon P., Rajih M. Blind identification of under-determined mixtures based on the characteristic function. Signal Process. 2006, 86(9):2271-2281.
-
(2006)
Signal Process.
, vol.86
, Issue.9
, pp. 2271-2281
-
-
Comon, P.1
Rajih, M.2
-
27
-
-
0003908675
-
Ideals, Varieties, and Algorithms
-
Springer-Verlag, New York
-
Cox D., Little J., O'Shea D. Ideals, Varieties, and Algorithms. Undergraduate Texts in Mathematics 1997, Springer-Verlag, New York. 2nd edition.
-
(1997)
Undergraduate Texts in Mathematics
-
-
Cox, D.1
Little, J.2
O'Shea, D.3
-
29
-
-
33750178584
-
Tensor-based techniques for the blind separation of DS-CDMA signals
-
de Lathauwer L., Castaing J. Tensor-based techniques for the blind separation of DS-CDMA signals. Signal Process. 2007, 87(2):322-336.
-
(2007)
Signal Process.
, vol.87
, Issue.2
, pp. 322-336
-
-
de Lathauwer, L.1
Castaing, J.2
-
30
-
-
0029308538
-
Applications of cumulants to array processing. I. Aperture extension and array calibration
-
Dogan M.C., Mendel J. Applications of cumulants to array processing. I. Aperture extension and array calibration. IEEE Trans. Signal Process. 1995, 43(5):1200-1216.
-
(1995)
IEEE Trans. Signal Process.
, vol.43
, Issue.5
, pp. 1200-1216
-
-
Dogan, M.C.1
Mendel, J.2
-
31
-
-
0035504028
-
Uncertainty principles and ideal atomic decompositions
-
Donoho D.L., Huo X. Uncertainty principles and ideal atomic decompositions. IEEE Trans. Inform. Theory 2001, 47(7):2845-2862.
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, Issue.7
, pp. 2845-2862
-
-
Donoho, D.L.1
Huo, X.2
-
32
-
-
57449099835
-
Introduction à la résolution des systèmes polynomiaux
-
Springer
-
Elkadi M., Mourrain B. Introduction à la résolution des systèmes polynomiaux. Mathématiques et Applications 2007, vol. 59. Springer.
-
(2007)
Mathématiques et Applications
, vol.59
-
-
Elkadi, M.1
Mourrain, B.2
-
33
-
-
85086812608
-
On the behavior of current second and higher order blind source separation methods for cyclostationary sources
-
(Erratum)
-
Ferreol A., Chevalier P. On the behavior of current second and higher order blind source separation methods for cyclostationary sources. IEEE Trans. Signal Process.. IEEE Trans. Signal Process. 2002, 50:990-1725. (Erratum).
-
(2002)
IEEE Trans. Signal Process.. IEEE Trans. Signal Process.
, vol.50
, pp. 990-1725
-
-
Ferreol, A.1
Chevalier, P.2
-
34
-
-
39049130849
-
Catalecticant varieties
-
Dekker, New York, Commutative Algebra and Algebraic Geometry (Ferrara)
-
Geramita A.V. Catalecticant varieties. Lecture Notes in Pure and Applied Mathematics 1999, vol. 206:143-156. Dekker, New York.
-
(1999)
Lecture Notes in Pure and Applied Mathematics
, vol.206
, pp. 143-156
-
-
Geramita, A.V.1
-
35
-
-
84966218418
-
Decomposable tensors as a quadratic variety
-
Grone R. Decomposable tensors as a quadratic variety. Proc. Amer. Math. Soc. 1977, 64(2):227-230.
-
(1977)
Proc. Amer. Math. Soc.
, vol.64
, Issue.2
, pp. 227-230
-
-
Grone, R.1
-
36
-
-
0037160669
-
Box-shaped matrices and the defining ideal of certain blowup surfaces
-
Hà H.T. Box-shaped matrices and the defining ideal of certain blowup surfaces. J. Pure Appl. Algebra 2002, 167(2-3):203-224.
-
(2002)
J. Pure Appl. Algebra
, vol.167
, Issue.2-3
, pp. 203-224
-
-
Hà, H.T.1
-
37
-
-
0003199354
-
Power Sums, Gorenstein Algebras, and Determinantal Loci
-
Springer-Verlag, Berlin
-
Iarrobino A., Kanev V. Power Sums, Gorenstein Algebras, and Determinantal Loci. Lecture Notes in Computer Science 1999, vol. 1721. Springer-Verlag, Berlin.
-
(1999)
Lecture Notes in Computer Science
, vol.1721
-
-
Iarrobino, A.1
Kanev, V.2
-
38
-
-
4344616103
-
Kruskal's permutation lemma and the identification of CANDECOMP/PARAFAC and bilinear models
-
Jiang T., Sidiropoulos N. Kruskal's permutation lemma and the identification of CANDECOMP/PARAFAC and bilinear models. IEEE Trans. Signal Process. 2004, 52(9):2625-2636.
-
(2004)
IEEE Trans. Signal Process.
, vol.52
, Issue.9
, pp. 2625-2636
-
-
Jiang, T.1
Sidiropoulos, N.2
-
39
-
-
0000274807
-
An efficient algorithm for Parafac of three-way data with large numbers of observation units
-
Kiers H.A.L., Krijnen W.P. An efficient algorithm for Parafac of three-way data with large numbers of observation units. Psychometrika 1991, 56:147.
-
(1991)
Psychometrika
, vol.56
, pp. 147
-
-
Kiers, H.A.L.1
Krijnen, W.P.2
-
40
-
-
48749101457
-
Three-way arrays: Rank and uniqueness of trilinear decompositions
-
Kruskal J.B. Three-way arrays: Rank and uniqueness of trilinear decompositions. Linear Algebra Appl. 1977, 18:95-138.
-
(1977)
Linear Algebra Appl.
, vol.18
, pp. 95-138
-
-
Kruskal, J.B.1
-
42
-
-
84881194211
-
Geometry and the complexity of matrix multiplication
-
Landsberg J. Geometry and the complexity of matrix multiplication. Bull. Amer. Math. Soc. 2008, 45(2):247-284.
-
(2008)
Bull. Amer. Math. Soc.
, vol.45
, Issue.2
, pp. 247-284
-
-
Landsberg, J.1
-
43
-
-
10844229441
-
On the ideals of secant varieties of Segre varieties
-
Landsberg J.M., Manivel L. On the ideals of secant varieties of Segre varieties. Found. Comput. Math. 2004, 4(4):397-422.
-
(2004)
Found. Comput. Math.
, vol.4
, Issue.4
, pp. 397-422
-
-
Landsberg, J.M.1
Manivel, L.2
-
44
-
-
41849097078
-
Generalizations of Strassen's equations for secant varieties of Segre varieties
-
Landsberg J.M., Manivel L. Generalizations of Strassen's equations for secant varieties of Segre varieties. Comm. Algebra 2008, 36(2):405-422.
-
(2008)
Comm. Algebra
, vol.36
, Issue.2
, pp. 405-422
-
-
Landsberg, J.M.1
Manivel, L.2
-
45
-
-
84873570671
-
Equations for secant varieties of Veronese and other varieties
-
in press.
-
Landsberg, J.M., Ottaviani, G., in press. Equations for secant varieties of Veronese and other varieties. Ann. Mat. Pura Appl. arxiv:1111.4567.
-
Ann. Mat. Pura Appl.
-
-
Landsberg, J.M.1
Ottaviani, G.2
-
46
-
-
41849103611
-
On the ideals and singularities of secant varieties of Segre varieties
-
Landsberg J.M., Weyman J. On the ideals and singularities of secant varieties of Segre varieties. Bull. Lond. Math. Soc. 2007, 39(4):685-697.
-
(2007)
Bull. Lond. Math. Soc.
, vol.39
, Issue.4
, pp. 685-697
-
-
Landsberg, J.M.1
Weyman, J.2
-
47
-
-
0034144761
-
On the best rank-1 and rank-(R1, R2, ., RN) approximation of high-order tensors
-
De Lathauwer L., De Moor B., Vandewalle J. On the best rank-1 and rank-(R1, R2, ., RN) approximation of high-order tensors. SIAM J. Matrix Anal. Appl. 2000, 21(4):1324-1342.
-
(2000)
SIAM J. Matrix Anal. Appl.
, vol.21
, Issue.4
, pp. 1324-1342
-
-
De Lathauwer, L.1
De Moor, B.2
Vandewalle, J.3
-
48
-
-
70349652049
-
A sparse flat extension theorem for moment matrices
-
Laurent M., Mourrain B. A sparse flat extension theorem for moment matrices. Arch. Math. (Basel) 2009, 93:87-98.
-
(2009)
Arch. Math. (Basel)
, vol.93
, pp. 87-98
-
-
Laurent, M.1
Mourrain, B.2
-
49
-
-
84957631580
-
A new criterion for normal form algorithms
-
Springer, Berlin, M. Fossorier, H. Imai, S. Lin, A. Poli (Eds.) Proc. Applic. Algebra in Engineering, Communic. and Computing
-
Mourrain B. A new criterion for normal form algorithms. Lecture Notes in Computer Science 1999, vol. 1719:430-443. Springer, Berlin. M. Fossorier, H. Imai, S. Lin, A. Poli (Eds.).
-
(1999)
Lecture Notes in Computer Science
, vol.1719
, pp. 430-443
-
-
Mourrain, B.1
-
50
-
-
0000692349
-
Multivariate polynomials, duality, and structured matrices
-
Mourrain B., Pan V.Y. Multivariate polynomials, duality, and structured matrices. J. Complexity 2000, 16(1):110-180.
-
(2000)
J. Complexity
, vol.16
, Issue.1
, pp. 110-180
-
-
Mourrain, B.1
Pan, V.Y.2
-
51
-
-
77949303340
-
An invariant regarding Waring's problem for cubic polynomials
-
Ottaviani G. An invariant regarding Waring's problem for cubic polynomials. Nagoya Math. J. 2009, 193:95-110.
-
(2009)
Nagoya Math. J.
, vol.193
, pp. 95-110
-
-
Ottaviani, G.1
-
52
-
-
79959656413
-
Varietà secanti alle varietà di Segre e di Veronese e loro applicazioni
-
Tesi di dottorato, Università di Bologna.
-
Parolin, A., 2003-2004. Varietà secanti alle varietà di Segre e di Veronese e loro applicazioni. Tesi di dottorato, Università di Bologna.
-
(2003)
-
-
Parolin, A.1
-
53
-
-
0007704410
-
The Veronese variety and catalecticant matrices
-
Pucci M. The Veronese variety and catalecticant matrices. J. Algebra 1998, 202(1):72-95.
-
(1998)
J. Algebra
, vol.202
, Issue.1
, pp. 72-95
-
-
Pucci, M.1
-
57
-
-
0039957423
-
Rank and optimal computation of generic tensors
-
Strassen V. Rank and optimal computation of generic tensors. Linear Algebra Appl. 1983, 52:645-685.
-
(1983)
Linear Algebra Appl.
, vol.52
, pp. 645-685
-
-
Strassen, V.1
-
59
-
-
84873567018
-
-
George Bell, Fleet Street, London, Reprinted in his Collected Math. Papers, vol. I. Paper 34
-
Sylvester J.J. An Essay on Canonical Forms, Supplement to a Sketch of a Memoir on Elimination 1851, George Bell, Fleet Street, London, Reprinted in his Collected Math. Papers, vol. I. Paper 34.
-
(1851)
An Essay on Canonical Forms, Supplement to a Sketch of a Memoir on Elimination
-
-
Sylvester, J.J.1
-
60
-
-
0011423546
-
On a remarkable discovery in the theory of canonical forms and of hyperdeterminants
-
Reprinted in his Collected Math. Papers, vol. I. Paper 41
-
Sylvester J.J. On a remarkable discovery in the theory of canonical forms and of hyperdeterminants. Philos. Mag. (4) 1851, 2:391-410. Reprinted in his Collected Math. Papers, vol. I. Paper 41.
-
(1851)
Philos. Mag. (4)
, vol.2
, pp. 391-410
-
-
Sylvester, J.J.1
-
62
-
-
84960552460
-
On canonical forms
-
Wakeford K. On canonical forms. Proc. Lond. Math. Soc. 1918-1919, 18:403-410.
-
(1918)
Proc. Lond. Math. Soc.
, vol.18
, pp. 403-410
-
-
Wakeford, K.1
|