Dr. Thanh Son Nguyen

Research Associate
Numerische Mathematik
Telefon: +49 821 598-4837
E-Mail: thanh.nguyen@math.uni-augsburg.de
Raum: 2314 (I)
Sprechzeiten: by appointment
Adresse: Universitätsstraße 12a, 86159 Augsburg




N. T. Son, T. Stykel, Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem, arXiv:2208.0529 [math.OC], 2022.



N.T. Son, P.-A. Absil, B. Gao, T. Stykel, 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, 2021.




B. Gao, N.T. Son, P.-A. Absil, T. Stykel, Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric, pp. 789 - 796 In: Nielsen F., Barbaresco F. (eds) Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science, vol 12829. Springer, Cham.



B. Gao, N.T. Son, P.-A. Absil, T. Stykel, Riemannian Optimization on the Symplectic Stiefel Manifold, SIAM Journal on Optimization 31(2), 1546-1575, 2021.





N.T. Son, P.-Y. Gousenbouger, E. Massart, T. Stykel, Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches In: Benner P., Breiten T., Faßbender H., Hinze M., Stykel T., Zimmermann R. (eds) Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics, vol 171. Birkhäuser, pp. 31-51, 2021.




D.N. Hao, T.N.T. Quyen, N.T. Son, Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic systems with boundary observations, Applied Mathematics and Optimization, 84(2), 2289 - 2325, 2021.





N.T. Son, P.-Y. Gousenbourger, E. Massart, P.-A. Absil: Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold, Proceedings of 6th International Conference on Control, Decision and Information Technologies, April 23-26, 2019, Paris, France (CoDIT'19), pp. 165 - 170





E. Massart, P.-Y. Gousenbourger, N.T. Son, T. Stykel, P.-A. Absil: 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), pp. 281-286



N.T. Son, T. Stykel: 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, 2017



N.T. Son, T. Stykel: Model order reduction of parameterized circuit equations based on interpolation, Advances in Computational Mathematics, 41(5), 1321-1342, 2015



N.T. Son: 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, 2013