Weak supermajorization between symplectic spectra of positive definite matrix and its pinching

Temjensangba, Hemant Kumar Mishra

Let $A=\left[\begin{array}{cc}E& F\\ F^T& G\end{array}\right]$ be a $2n\times 2n$ real positive definite matrix, where $E,F,$ and $G$ are $n\times n$ blocks. It is shown that $\ d(E \…