## Publications

### Articles in internationally reviewed scientific journals

, , (2014). Numerical solution of bivariate and polyanalytic polynomial systems. SIAM Journal on Numerical Analysis (accepted)

, , , (2014). Breaking the curse of dimensionality using decompositions of incomplete tensors. IEEE Signal Processing Magazine (accepted)

, , (2014). Approximating optimal point configurations for multivariate polynomial interpolation. Electronic Transactions on Numerical Analysis, 42, 41-63

, , (2013). The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials. Calcolo, 50 (4), 283-303 , pdf

, , (2013). 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, 23 (2), 695-720 , pdf

, , (2012). Unconstrained optimization of real functions in complex variables. SIAM Journal on Optimization, 22 (3), 879-898 , pdf

### Meeting abstracts, presented at international conferences and symposia, published or not published in proceedings or journals

, , (2014). Structured Data Fusion with Tensorlab. Householder Symposium XIX on Numerical Linear Algebra. Householder Symposium XIX on Numerical Linear Algebra. Spa, Belgium, 8-13 June 2014.

, , (2014). Structured data fusion. SIAM Conference on Optimization. San Diego, California, USA, May 19-22 2014.

, , (2014). Nonlinear eigenvalue problems. 10th International Workshop on Accurate Solution of Eigenvalue Problems (IWASEP). International Workshop on Accurate Solution of Eigenvalue Problems (IWASEP). Dubrovnik, Croatia, 2-5 June 2014.

, , , (2014). From tensor to coupled matrix/tensor decomposition. International Symposium on Mathematical Theory of Networks and Systems (MTNS). Groningen, The Netherlands, 7-11 July 2014.

, , (2014). Computation of tensor decompositions via numerical optimization. Workshop: numerical methods for high-dimensional problems. Marne-la-Vallée, France, 14-18 April 2014.

, , (2013). Exact line and plane search for tensor optimization by global minimization of bivariate polynomials and rational functions. Numerical Analysis and Scientific Computation with Applications. Calais, France, 24-26 June 2013.

, , , (2013). Exact line and plane search for tensor optimization by global minimization of bivariate polynomials and rational functions. SIAM Conference on Computational Science and Engineering. Boston, Massachusetts, USA, February 25-March 1 2013.

, , (2013). "Good" points for multivariate polynomial interpolation and approximation. TUM-IAS Workshop on Novel Numerical Methods. TUM-IAS Workshop on Novel Numerical Methods. Institute for Advanced Study (TUM-IAS), Garching, Germany, 29-31 July 2013.

, , (2012). Structured matrices and multivariate orthogonal polynomials. Master Course in Applied Linear Algebra. Athens, Greece, 19 December 2012.

, , (2012). Structured matrices and multivariate orthogonal polynomials. Structured Matrix Computations in Non Euclidean Geometries: Algorithms and Applications. Luminy, France, 8-12 October 2012.

, , (2012). State of the art overview of algorithms for tensor decompositions. TRICAP. Bruges, Belgium, 2-7 June 2012.

, , (2012). State of the art overview of algorithms for tensor decompositions. WSC Spring Meeting. University of Antwerp, Antwerp, Belgium, 11 May 2012.

, , (2012). Optimization-based algorithms for the decomposition of a tensor in rank-$(L_t,L_t,1)$ terms. Data Mining, Networks and Dynamics (Dagstuhl Seminar 11451): vol. 1 (11). Dagstuhl Seminar on Data Mining, Neworks and Dynamics. Schloss Dagstuhl, Wadern, Germany, 6-11 November 2011, 23-38.

, , (2012). Low-rank representation of sum of squares polynomials and applications. International Congress on Computational and Applied Mathematics. Ghent, 09-12 July 2012.

, , (2012). Efficient algorithms for tensor decompositions. SIAM Conference on Applied Linear Algebra. Valencia, Spain, 18-22 June 2012.

, , (2011). Tensor decompositions by unconstrained optimization of real functions in complex variables. International conference on Matrix Methods in Mathematics and Applications. Moscow, Russia, 22-25 June 2011.

, , (2011). Optimization-based algorithms for the rank-$(L_t,L_t,1)$ Block Term Decomposition and related decompositions. International Linear Algebra Society. Braunschweig, Germany, 22-26 August 2011.

, (2010). Algorithms for the rank-$(L_t,L_t,1)$ Block Term Decomposition. Tensor Decompositions and Applications. Monopoli, Italy, 13-17 September 2010.

### Meeting abstracts, presented at local conferences and symposia, published or not published in proceedings or journals

, , (2013). Structured data fusion. OPTEC Steering Advisory Board meeting. Leuven, 21 November 2013.

, , (2013). Computing tensor decompositions with complex and polynomial optimization. Centre for Systems Engineering and Applied Mechanics. Louvain-la-Neuve, 30 April 2013.

, , (2012). State of the art overview of algorithms for tensor decompositions. OPTEC Seminar on Tensors, Computing, Optimization and Signal Processing. Leuven, 2 May 2012.

, , (2012). Efficient algorithms for tensor decompositions. OPTEC MANET Workshop on Tensors and Large Scale Optimization. Leuven, 7 February 2012.

, , (2011). Unconstrained optimization of real functions in complex variables. SISTA Seminar. Leuven, 20 April 2011.

, , (2011). Block component analysis. Book of abstracts DYSCO Study Day. IAP VI/4 DYSCO Study day. Leuven, 29 November 2011, 21-21.

, , (2011). Block component analysis. OPTEC Steering Advisory Board meeting. Leuven, 24 October 2011.

, (2010). Algorithms for the rank-$(L_t,L_t,1)$ Block Term Decomposition. Book of abstracts DYSCO Study Day. IAP VI/4 DYSCO Study day. Château-Ferme de Profondval, 28-29 October 2010, 21-21.

### PhD Theses

, De Lathauwer, L. (sup.), Van Barel, M. (sup.) (2014). Data Fusion: Tensor Factorizations by Complex Optimization (Data fusie: tensor factorisaties d.m.v. complexe optimalisatie).

### Internal or technical reports

, , (2013). Approximating optimal point configurations for multivariate polynomial interpolation. TW Reports, TW637, 27 pp. Leuven, Belgium: Department of Computer Science, KU Leuven.

, , (2012). The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials. TW Reports, TW612. Leuven, Belgium: Department of Computer Science, KU Leuven.

, , (2012). Optimization-based algorithms for tensor decompositions: canonical polyadic decomposition, decomposition in rank-$(L_r,L_r,1)$ terms and a new generalization. ESAT-SISTA Internal Reports, 12-37. Leuven, Belgium: Department of Electrical Engineering (ESAT), KU Leuven.

### Other journal publications / miscellaneous

, , (2013). Guest lecture linear algebra course: tensor decompositions and applications.

, , (2012). Guest lecture linear algebra course: tensor decompositions and applications.