A Schur-Horn theorem for symplectic eigenvalues

Article Type

Research Article

Publication Title

Linear Algebra and Its Applications

Abstract

Let x and y be positive n-vectors. We show that there exists a 2n×2n positive definite real matrix whose symplectic spectrum is y, and the symplectic spectrum of whose diagonal is x if and only if x is weakly supermajorised by y.

First Page

133

Last Page

139

DOI

10.1016/j.laa.2020.04.005

Publication Date

8-15-2020

Comments

Open Access, Green

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