A Schur-Horn Type Theorem for Symplectic Matrices

Author(s)

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Abstract

In this note, we establish a new version of Schur-Horn type theorem for symplectic matrices. Meanwhile, we establish a necessary and sufficient condition for the equality to hold in the above result.

Keywords:

Positive definite matrix symplectic matrix equality doubly stochastic matrix

Author Biographies

  • Shaowu Huang

    School of Mathematics and Finance, Putian University, Putian 351100, P.R. China

  • Yimin Wei

    School of Mathematics Sciences and Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai 200082, P.R. China

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DOI

10.4208/cmr.2025-0043

How to Cite

A Schur-Horn Type Theorem for Symplectic Matrices. (2025). Communications in Mathematical Research, 41(3), 287-295. https://doi.org/10.4208/cmr.2025-0043