A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds NT Son International Journal for Numerical Methods in Engineering 93 (8), 818-833, 2013 | 62 | 2013 |
Riemannian optimization on the symplectic Stiefel manifold B Gao, NT Son, PA Absil, T Stykel SIAM Journal on Optimization 31 (2), 1546–1575, 2021 | 40 | 2021 |
Computing symplectic eigenpairs of symmetric positive-definite matrices via trace minimization and Riemannian optimization NT Son, PA Absil, B Gao, T Stykel SIAM Journal on Matrix Analysis and Applications 42 (4), 1732-1757, 2021 | 30* | 2021 |
Solving parameter-dependent Lyapunov equations using the reduced basis method with application to parametric model order reduction NT Son, T Stykel SIAM Journal on Matrix Analysis and Applications 38 (2), 478-504, 2017 | 24 | 2017 |
Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results E Massart, PY Gousenbourger, NT Son, T Stykel, PA Absil ESANN 2019 proceedings, 281-286, 2019 | 19 | 2019 |
Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem NT Son, T Stykel Electronic Journal of Linear Algebra 38, 607-616, 2022 | 14 | 2022 |
Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations DN Hao, TNT Quyen, NT Son Applied Mathematics & Optimization 84 (2), 2289 - 2325, 2020 | 10 | 2020 |
Model order reduction of parameterized circuit equations based on interpolation NT Son, T Stykel Advances in Computational Mathematics 41 (5), 1321-1342, 2015 | 10 | 2015 |
Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications B Gao, NT Son, T Stykel Linear Algebra and its Applications 682, 50-85, 2024 | 9 | 2024 |
Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric B Gao, NT Son, PA Absil, T Stykel International Conference on Geometric Science of Information 12829, 789-796, 2021 | 9 | 2021 |
Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches NT Son, PY Gousenbourger, E Massart, T Stykel Model Reduction of Complex Dynamical Systems 171 (2003.04577), 31-51, 2021 | 8 | 2021 |
Interpolation Based Parametric Model Order Reduction NT Son University of Bremen, 2012 | 5 | 2012 |
Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold NT Son, PY Gousenbourger, E Massart, PA Absil 2019 6th International Conference on Control, Decision and Information …, 2019 | 3 | 2019 |
A low-rank Reduced Basis Method for Parameter-Dependent Lyapunov Equations D Kressner, P Sirkovic, NT Son, T Stykel 21st International Symposium on Mathematical Theory of Networks and Systems …, 2014 | 2 | 2014 |
Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods B Gao, NT Son, T Stykel arXiv preprint arXiv:2406.14299, 2024 | 1 | 2024 |
A Riemannian optimization method on the indefinite Stiefel manifold D Van Tiep, NT Son arXiv preprint arXiv:2410.22068, 2024 | | 2024 |
Reduced Basis Method for Parameterized Lyapunov Equations NT Son, T Stykel Householder Symposium XIX June 8-13, Spa Belgium, 218, 0 | | |