Majorization between symplectic spectra of positive semidefinite matrices

Temjensangba, Hemant K. Mishra, Niloy Paul

Given $2n\times 2n$ real symmetric positive semidefinite matrix $A$ with symplectic kernel, there exists a real $2n\times 2n$ \emph{symplectic matrix} $M$ such that $M^TAM= D \op…