Search Results for author: Tatjana Stykel

Found 2 papers, 2 papers with code

Symplectic eigenvalue problem via trace minimization and Riemannian optimization

2 code implementations7 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

Riemannian Optimization on the Symplectic Stiefel Manifold

2 code implementations26 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

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