3 papers
math.FA2026
Majorization between symplectic spectra of positive semidefinite matrices
Temjensangba, Hemant K. Mishra, Niloy Paul
Given real symmetric positive semidefinite matrix with symplectic kernel, there exists a real \emph{symplectic matrix} such that $M^TAM= D \op…
math.FA2024
On generalization of Williamson's theorem to real symmetric matrices
Hemant K. Mishra
Williamson's theorem states that if is a real symmetric positive definite matrix then there exists a real symplectic matrix such that $M^T A M…
math.FA2023
Block perturbation of symplectic matrices in Williamson's theorem
Gajendra Babu, Hemant K. Mishra
Williamson's theorem states that for any real positive definite matrix , there exists a real symplectic matrix such that , wh…