2 code implementations • 7 Jan 2021 • Nguyen Thanh Son, P. -A. Absil, Bin Gao, Tatjana Stykel
We address the problem of computing the smallest symplectic eigenvalues and the corresponding eigenvectors of symmetric positive-definite matrices in the sense of Williamson's theorem.
Optimization and Control Spectral Theory 15A15, 15A18, 70G45
2 code implementations • 26 Jun 2020 • Bin Gao, Nguyen Thanh Son, P. -A. Absil, Tatjana Stykel
The symplectic Stiefel manifold, denoted by $\mathrm{Sp}(2p, 2n)$, is the set of linear symplectic maps between the standard symplectic spaces $\mathbb{R}^{2p}$ and $\mathbb{R}^{2n}$.
Optimization and Control Dynamical Systems