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1. Full Text ON THE UNIQUENESS OF THE CANONICAL POLYADIC DECOMPOSITION OF THIRD-ORDER TENSORS-PART II: UNIQUENESS OF THE OVERALL DECOMPOSITION
by Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 01/2013, Volume 34, Issue 3, pp. 876 - 903
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Tensors | Constraints | Mathematical analysis | Compounding | Uniqueness | Decomposition | Compounds | Mathematics - Spectral Theory
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2. Full Text On the uniqueness of the canonical polyadic decomposition of third-order tensors-part I: Basic results and uniqueness of one factor matrix
by Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2013, Volume 34, Issue 3, pp. 855 - 875
Canonical polyadic decomposition | Compound matrix | Tensor | Parafac | Multilinear algebra | Khatri-Rao product | Candecomp | Three-way array | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Tensors | Mathematical analysis | Compounding | Uniqueness | Proving | Links | Decomposition | Compounds | Mathematics - Spectral Theory
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3. Full Text Canonical polyadic decomposition of third-order tensors: Reduction to generalized eigenvalue decomposition
by Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2014, Volume 35, Issue 2, pp. 636 - 660
Canonical polyadic decomposition | Mixed discriminant | Compound matrix | Tensor | Candecomp/Parafac decomposition | Permanent | Khatri-Rao product | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Tensors | Algebra | Algorithms | Computation | Mathematical analysis | Compounding | Decomposition | Compounds | Mathematics - Spectral Theory
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4. Full Text Canonical polyadic decomposition of third-order tensors: Relaxed uniqueness conditions and algebraic algorithm
by Domanov, Ignat and De Lathauwer, Lieven
Linear algebra and its applications, ISSN 0024-3795, 01/2017, Volume 513, pp. 342 - 375
Canonical polyadic decomposition | CANDECOMP/PARAFAC decomposition | Tensor | Uniqueness of CPD | Eigenvalue decomposition | Uni-mode uniqueness | CP decomposition | Singular value decomposition | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Electrical engineering | Algebra | Algorithms | Tensors | Matrix | Computer simulation | Mathematical analysis | Linear algebra | Uniqueness | Decomposition | Compounds
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5. Full Text Generic uniqueness conditions for the canonical polyadic decomposition and indscal
by Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2015, Volume 36, Issue 4, pp. 1567 - 1589
Canonical polyadic decomposition | CANDECOMP/PARAFAC decomposition | Third-order tensor | Algebraic geometry | Uniqueness | INDSCAL | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Mathematics - Algebraic Geometry
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6. Full Text Coupled Canonical Polyadic Decompositions and Multiple Shift Invariance in Array Processing
by Sorensen, Mikael and Domanov, Ignat and De Lathauwer, Lieven
IEEE transactions on signal processing, ISSN 1053-587X, 07/2018, Volume 66, Issue 14, pp. 3665 - 3680
coupled decomposition | centro-symmetry | Array signal processing | Array processing | near-field | tensor | Sensor arrays | Geometry | Tensile stress | identifiability | Writing | polyadic decomposition | Antenna arrays | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Separation | Uniqueness | Eigenvalues | Signal processing | Decomposition | Invariance | Arrays | Compounds
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7. Full Text On the spectrum of the operator which is a composition of integration and substitution
by Domanov, Ignat
Studia mathematica, ISSN 0039-3223, 2008, Volume 185, Issue 1, pp. 49 - 65
Eigenvalue | Integral operator | Fredholm determinant | Physical Sciences | Mathematics | Science & Technology
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8. Full Text On invariant subspaces of matrices: A new proof of a theorem of Halmos
by Domanov, Ignat
Linear algebra and its applications, ISSN 0024-3795, 2010, Volume 433, Issue 11, pp. 2255 - 2256
Commutant | Invariant subspace | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Algebra | Linear and multilinear algebra, matrix theory | Mathematical analysis | Exact sciences and technology | Operator theory | Sciences and techniques of general use
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9. Full Text ON UNIQUENESS AND COMPUTATION OF THE DECOMPOSITION OF A TENSOR INTO MULTILINEAR RANK-(1, L-r, L-r) TERMS
by Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 01/2020, Volume 41, Issue 2, pp. 747 - 803
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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10. Full Text Exact line and plane search for tensor optimization
by Sorber, Laurent and Sorber, Laurent and Domanov, Ignat and Domanov, Ignat and Van Barel, Marc and Van Barel, Marc and De Lathauwer, Lieven and De Lathauwer, Lieven
Computational optimization and applications, ISSN 0926-6003, 1/2016, Volume 63, Issue 1, pp. 121 - 142
Tensor decomposition | Exact plane search | Convex and Discrete Geometry | Bivariate polynomial system | Mathematics | Operations Research, Management Science | Operation Research/Decision Theory | Statistics, general | Exact line search | Optimization | Tensor optimization | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Electrical engineering | Computer science | Algorithms | Mathematical optimization | Studies | Searches | Analysis | Polynomials | Eigen values | Tensors | Planes | Searching | Mathematical analysis | Aircraft detection | Decomposition
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11. Full Text Coupled Canonical Polyadic Decompositions and (Coupled) Decompositions in Multilinear Rank- (Lr,n,Lr,n,1) Terms-Part II: Algorithms
by Sorensen, Mikael and Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2015, Volume 36, Issue 3, pp. 1015 - 1045
Canonical polyadic decomposition | Higher-order tensor | Coupled matrix-tensor factorization | Coupled decompositions | Polyadic decomposition | Canonical decomposition | Parallel factor | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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12. Full Text On the uniqueness of the canonical polyadic decomposition of third-order tensors-part II: Basic results and uniqueness of one factor matrix
by Domanov, Ignat and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2013, Volume 34, Issue 3, pp. 876 - 903
Canonical polyadic decomposition | Compound matrix | Tensor | Parafac | Multilinear algebra | Khatri-Rao product | Candecomp | Three-way array
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13. Full Text ON THE LARGEST MULTILINEAR SINGULAR VALUES OF HIGHER-ORDER TENSORS
by Domanov, Ignat and Stegeman, Alwin and De Lathauwer, Lieven
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 01/2017, Volume 38, Issue 4, pp. 1434 - 1453
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Mathematics - Spectral Theory
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14. Full Text Generic Uniqueness of a Structured Matrix Factorization and Applications in Blind Source Separation
by Domanov, Ignat and De Lathauwer, Lieven
IEEE journal of selected topics in signal processing, ISSN 1932-4553, 06/2016, Volume 10, Issue 4, pp. 701 - 711
Geometry | uniqueness | structured rank decomposition | Independent component analysis | Blind source separation | Generators | direction of arrival | algebraic geometry | Matrix decomposition | Yttrium | Indexes | structured matrix factorization | blind source separation | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Mathematics - Algebraic Geometry
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15. Full Text From computation to comparison of tensor decompositions
by Domanov, Ignat and De Lathauwer, Lieven
12/2019
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16. Full Text On uniqueness and computation of the decomposition of a tensor into multilinear rank-$(1, L_{r},L_{r})$ terms
by Domanov, Ignat and De Lathauwer, Lieven
08/2018
Mathematics - Spectral Theory
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17. Full Text Canonical polyadic decomposition of third-order tensors: relaxed uniqueness conditions and algebraic algorithm
by Domanov, Ignat and De Lathauwer, Lieven
01/2015
Mathematics - Spectral Theory
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18. Canonical polyadic decomposition of third-order tensors: reduction to generalized eigenvalue decomposition
by Ignat Domanov and Lieven De Lathauwer
Siam Journal on Matrix Analysis and Applications, 01/2014, Volume 35, Issue 2, p. 636
Decomposition
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19. Full Text On the spectrum and eigenfunctions of the operator $(Vf)(x) = \int_0^{x^\alpha} f(t) dt
by Domanov, Ignat
01/2013
Mathematics - Spectral Theory
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20. Coupled Canonical Polyadic Decompositions and (coupled) decompositions in multilinear rank-(L_r,n,L_r,n,1) terms - Part II : Algorithms
by Mikael Sorensen and Ignat Domanov and Lieven De Lathauwer
Siam Journal on Matrix Analysis and Applications, 01/2015, Volume 36, Issue 3, p. 1015
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