Optimization on the symplectic group

Petre Birtea, Ioan Casu, Dan Comanescu

We regard the real symplectic group $Sp(2n,\mathbb{R})$ as a constraint submanifold of the $2n\times 2n$ real matrices ${\mathcal{M}}_{2n}(\mathbb{R})$ endowed with the Euclidean (Fr…