A Schur-Horn theorem for symplectic eigenvalues

DOI10.1016/j.laa.2020.04.005zbMath1451.15012arXiv2004.03906OpenAlexW3016155485MaRDI QIDQ2176130

Tanvi Jain, Rajendra Bhatia

Publication date: 4 May 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03906

zbMATH Keywords

diagonalmajorisationSchur-Horn theoremsymplectic eigenvalues

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (5)

A new version of Schur–Horn type theorem ⋮ Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem ⋮ Variational principles for symplectic eigenvalues ⋮ Sums and products of symplectic eigenvalues ⋮ Rajendra Bhatia and his mathematical achievements

Cites Work

• Gaussian quantum marginal problem
• Convexity properties of the moment mapping
• On symplectic eigenvalues of positive definite matrices
• Angular momentum, convex Polyhedra and Algebraic Geometry
• On convexity, the Weyl group and the Iwasawa decomposition
• Derivatives of symplectic eigenvalues and a Lidskii type theorem
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
• Inequalities: theory of majorization and its applications

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