Embedded Files
Articles in internationally reviewed academic journals
Articles in internationally reviewed academic journals
9. T. H. Le, M. T. Ho. Flat extension technique for moment matrices of positive linear functionals over mixed polynomials and an application in quantum information, Annals of Functional Analysis 16(2): 30, 2025
8. DC Huong, TN Nguyen, HT Le, H Trinh. Event‐triggered state estimation for nonlinear systems aid by machine learning, Asian Journal of Control 25 (5): 4058-4069, 2023
7. T. H. Le, T.N. Nguyen. Simultaneous diagonalization via congruence of Hermitian matrices: some equivalent conditions and a numerical solution. SIAM Journal on Matrix Analysis and Applications 43(2): 882-911 , 2022
6. T. H. Le, M. Van Barel. A convex optimization model for finding non-negative polynomials. Journal of Computational and Applied Mathematics,Volume 301: 121–134, 2016
5. T. H. Le, M. Van Barel. On bounds of the Pythagoras number of the sum of square magnitudes of Laurent polynomials. Numerical Algebra, Control and Optimization (NACO) 6(2):91-102, 2016
4. T. H. Le, M. Van Barel. An algorithm for decomposing a non-negative polynomial as a sum of squares of rational functions. Numerical Algorithms 69(2): 397-413, 2015
3. Micol Ferranti, Thanh Hieu Le, R. Vandebril. A comparison between the complex symmetric based and classical computation of the singular value decomposition of normal matrices. Numerical Algorithms 67(1)109-120, 2014
2. T. H. Le, M. Van Barel. A convex optimization method to solve a filter design problem. Journal of Computational and Applied Mathematics, 255:183–192, 2014
1. T. H. Le, L. Sorber, and M. Van Barel. The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials. Calcolo, 50(4):283-303, 2013
Meeting abstracts, presented at international scientific conferences and symposia, published or not published in proceedings or journals
Meeting abstracts, presented at international scientific conferences and symposia, published or not published in proceedings or journals
Le Thanh Hieu, Low Rank Representations for Gram Matrices of Some Nonnegative Polynomials and its Applications, 14th Workshop on Optimization and Scientific Computing, April 21-23, 2016 — Ba Vi, Vietnam
Le Thanh Hieu and Marc Van Barel, An optimization model for finding nonnegative polynomials and its application to some filter design problems. Workshop on Quantum Information Theory and related Topics, VIASM, Sep 01-03, 2015 (Invited talk)
Le Thanh Hieu, Numerically computing low-rank decompositions of sums of squares of rational functions via a matrix rank minimization problem. 6th International Conference on High Performance Scientific Computing, Hanoi, 16-23 March, 2015
Ferranti, M., Vandebril, R., Le, T. (2012). Unitary similarity of normal matrices to complex symmetric form. International Congress on Computational and Applied Mathematics. Ghent, 9-12 July 2012.
Le, T., Van Barel, M., Sorber, L. (2012). Low-rank representation of sum of squares polynomials and applications. International Congress on Computational and Applied Mathematics. Ghent, 09-12 July 2012.
Meeting abstracts, presented at other scientific conferences and symposia, published or not published in proceedings or journals
Meeting abstracts, presented at other scientific conferences and symposia, published or not published in proceedings or journals
• T. H. Le, M. Van Barel, R. Vandebril. Sums of squares of polynomials and applications. Working Group 5 - meeting, OPTEC. KU Leuven, September 2013.
• T. H. Le, M. Van Barel. Low-rank representation of sos-polynomials. Working Group 5 - meeting, OPTEC. KU Leuven, August 2012.
• Le, T., Van Barel, M. (2011). A convex optimization method to solve a filter design problem. Working Group 1 - meeting, OPTEC. KU Leuven, 6 June 2011.
Internal report
Internal report
• Le, T., Sorber, L., Van Barel, M. (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.
• Le, T., Van Barel, M. (2012). Bounds on the Pythagoras number of the sum of square magnitudes of complex polynomials. TW Reports, TW620, 16 pp. Leuven, Belgium: Department of Computer Science, KU Leuven.
• Le, T., Van Barel, M. (2011). A convex optimization method to solve a filter design problem. TW Reports, TW599, 19 pp. Leuven, Belgium: Department of Computer Science, K.U.Leuven.
• T. H. Le, Van Barel, M. A convex optimization model for finding non-negative polynomials. (to be submitted)
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