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6
votes
1
answer
251
views
Geodesic in space of circulant matrices
I'm trying to find the geodesic that connects the identity with some circulant, symmetric matrix $U\in\mathrm{GL}(N,\mathbb{R})$, meaning we have
\begin{align}
U=\left(\begin{array}{ccc}
u_1 & u_2 & …
2
votes
0
answers
166
views
Geodesics on Sp(2,R)
Given the symplectic group $\mathrm{Sp}(2,\mathbb{R})$, represented as real $2\times 2$ matrices, I would like to compute the geodesic from the identity matrix $1\!\!1$ to the group element
\begin{ali …