Sums and products of symplectic eigenvalues

Authors

Tanvi Jain, Indian Statistical Institute (Delhi Centre)

Article Type

Research Article

Publication Title

Linear Algebra and Its Applications

Abstract

For every 2n×2n real positive definite matrix A, there exists a real symplectic matrix M such that MTAM=diag(D,D), where D is the n×n positive diagonal matrix with diagonal entries d1(A)≤⋯≤dn(A). The numbers d1(A),…,dn(A) are called the symplectic eigenvalues of A. We derive analogues of Wielandt's extremal principle and multiplicative Lidskii's inequalities for symplectic eigenvalues.

First Page

67

Last Page

82

DOI

10.1016/j.laa.2021.08.016

Publication Date

12-15-2021

Comments

Open Access, Green

Recommended Citation

Jain, Tanvi, "Sums and products of symplectic eigenvalues" (2021). Journal Articles. 1651.
https://digitalcommons.isical.ac.in/journal-articles/1651