Preprint(s)

• B. Gao, N.T. Son, T. Stykel (2022), Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications, arXiv:2211.09481 [math.OC].

Refereed works

• N.T. Son, T. Stykel (2022), Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem, Electronic Journal of Linear Algebra, 38: 607--616.
• N.T. Son, P.-A. Absil, B. Gao, T. Stykel (2021), Computing symplectic eigenpairs of symmetric positive-definite matrices via trace minimization and Riemannian optimization,? SIAM Journal on Matrix Analysis and Applications, 42(4): 1732--1757.
• B. Gao, N.T. Son, P.-A. Absil, T. Stykel (2021), Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric, In: Nielsen F., Barbaresco F. (eds) Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science, 12829: 789--796, Springer, Cham.
• B. Gao, N.T. Son, P.-A. Absil, T. Stykel (2021), Riemannian optimization on the symplectic Stiefel manifold, SIAM Journal of Optimization, 31(2): 1546--1575.
• N.T. Son, P.-Y. Gousenbouger, E. Massart, T. Stykel (2021), Balanced truncation for parametric linear systems using interpolation of gramians: A comparison of algebraic and geometric approaches, In: Benner P., Breiten T., Fa?bender H., Hinze M., Stykel T., Zimmermann R. (eds) Model Reduction of Complex Dynamical Systems. International Series of Numerical Mathematics, 171: 31--51, Birkh?user.
• D.N. Hao, T.N.T. Quyen, N.T. Son (2021), Convergence analysis of a Crank–Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations, Applied Mathematics & Optimization, 84: 2289--2325.
• N.T. Son, P.-Y. Gousenbourger, E. Massart, P.-A. Absil (2019), Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold, 2019 6th International Conference on Control, Decision and Information Technologies (CoDIT), 165-170, IEEE.
• E. Massart, P.-Y. Gousenbourger, N.T. Son, T. Stykel, P.-A. Absil (2019), Interpolation in the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results, Proceedings of European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, April 24-26, 2019, Bruges, Belgium, (ESANN 2019), 281--286.
• N.T. Son, T. Stykel (2017), Solving parameter-dependent Lyapunov equations using the reduced basis method with application to parametric model order reduction, SIAM Journal on Matrix Analysis and Applications, 38(2): 479--504.
• N.T. Son, T. Stykel (2015), Model order reduction of parameterized circuit equations based on interpolation, Advances in Computational Mathematics, 41(5): 1321--1342.
• N.T. Son (2013), A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds, International Journal for Numerical Methods in Engineering, 93(8): 818--833.