The Pythagoras number of real sum of squares polynomials and sum of square magnitudes of polynomials TH Le, L Sorber, M Van Barel
Calcolo 50 (4), 283-303, 2013
10 2013 A comparison between the complex symmetric based and classical computation of the singular value decomposition of normal matrices M Ferranti, TH Le, R Vandebril
Numerical Algorithms 67 (1), 109-120, 2014
8 2014 An algorithm for decomposing a non-negative polynomial as a sum of squares of rational functions TH Le, M Van Barel
Numerical Algorithms 69 (2), 397-413, 2015
7 2015 A convex optimization method to solve a filter design problem TH Le, M Van Barel
Journal of Computational and Applied Mathematics 255, 183-192, 2014
6 2014 Event-triggered state estimation for nonlinear systems aid by machine learning DC Huong, TN Nguyen, HT Le, H Trinh
Asian Journal of Control 25 (5), 4058-4069, 2023
5 2023 A convex optimization model for finding non-negative polynomials TH Le, M Van Barel
Journal of Computational and Applied Mathematics 301, 121-134, 2016
5 2016 Simultaneous diagonalization via congruence of Hermitian matrices: some equivalent conditions and a numerical solution TH Le, TN Nguyen
SIAM Journal on Matrix Analysis and Applications 43 (2), 882-911, 2022
4 2022 On bounds of the Pythagoras number of the sum of square magnitudes of Laurent polynomials TH Le, M Van Barel
Numerical Algebra, Control and Optimization (NACO) 6 (2), 91 - 102, 2016
3 2016 Simultaneous Diagonalization via congruence of matrices and some applications in optimization TN Nguyen, VB Nguyen, TH Le, RL Sheu
https://arxiv.org/abs/2004.06360, 2020
2 * 2020 On bounds of the Pythagoras number of the sum of square magnitudes of complex polynomials TH Le, M Van Barel
Department of Computer Science, KU Leuven, 2012
1 2012 Simultaneous diagonalization via congruence of real symmetric matrices and its implications in optimization TN Nguyen, VB Nguyen, TH Le, RL Sheu
arXiv preprint arXiv:2004.06360, 2020
2020 Sum-of-square-of-rational-function based representations of positive semidefinite polynomial matrices TH Le, NT Pham
arXiv preprint arXiv:1901.02360, 2019
2019 Rank one solutions to systems of linear equations over positive semidefinite matrices and an application to a low-pass filter design problem HV Vo, DHU Bui, TH Le
Quy Nhon Unversity Journal of Science 7 (1), 2018
2018 Low rank solutions to differentiable systems over matrices and applications TH Le
arXiv preprint arXiv:1701.04118, 2017
2017 An optimization model for finding nonnegative polynomials and its application to some filter design problems TH Le, M Van Barel
Workshop on Quantum Information Theory and related Topics, Date: 2015/09/01 …, 2015
2015 Low-Rank Representations for Sum of Squares Polynomials (Lage rang voorstellingen voor veeltermen die de som zijn van kwadraten) TH Le
2014 Unitary similarity of normal matrices to complex symmetric form M Ferranti, R Vandebril, TH Le
International Congress on Computational and Applied Mathematics, Date: 2012 …, 2012
2012 Low-rank representation of sum of squares polynomials and applications HT Le, M Van Barel, L Sorber
International Congress on Computational and Applied Mathematics, Ghent, 2012
2012