The properties of a kind of random symplectic matrices
A study of the properties of the symplectic matrix \(S= I_{2n}- ww^TJ\) is given, where \(I_N\) is the \(N\times N\) identity, and \(J= \left[\begin{smallmatrix} 0 & I_n\\ -I_n & 0\end{smallmatrix}\right]\); \(w\in \mathbb{R}^{2n}\) is a unit vector.
scientific article; zbMATH DE number 1880767