Variational principles for symplectic eigenvalues

DOI10.4153/S0008439520000648zbMath1475.15021MaRDI QIDQ5152498

Tanvi Jain, Rajendra Bhatia

Publication date: 24 September 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

Weyl inequalitiessymplectic eigenvaluesmaxmin principle

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45)

Related Items (4)

Singular value inequalities of matrix sum in log-majorizations ⋮ Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem ⋮ Sums and products of symplectic eigenvalues ⋮ The Horn cone associated with symplectic eigenvalues

Cites Work

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• Gaussian quantum marginal problem
• A Schur-Horn theorem for symplectic eigenvalues
• Symplectic invariants and Hamiltonian dynamics
• Symplectic geometry and quantum mechanics
• Linear Algebra to Quantum Cohomology: The Story of Alfred Horn's Inequalities
• On symplectic eigenvalues of positive definite matrices
• Inequalities for quantum marginal problems with continuous variables
• Some inequalities for eigenvalues and symplectic eigenvalues of positive definite matrices

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