Derivatives of symplectic eigenvalues and a Lidskii type theorem

DOI10.4153/S0008414X2000084XzbMath1489.15018arXiv2004.11024OpenAlexW3106872760MaRDI QIDQ5075986

Hemant Kumar Mishra, Tanvi Jain

Publication date: 12 May 2022

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11024

zbMATH Keywords

derivativeanalyticitypositive definite matrixmajorizationLidskii's theoremsymplectic eigenvalueWilliamson's theoremsymplectic eigenvector pair

Mathematics Subject Classification ID

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

Related Items

A Schur-Horn theorem for symplectic eigenvalues, A note on ``Perturbation bounds for Williamson's symplectic normal form, First order sensitivity analysis of symplectic eigenvalues, Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications, Singular value inequalities of matrix sum in log-majorizations, Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem, A Szegő type theorem and distribution of symplectic eigenvalues, The Horn cone associated with symplectic eigenvalues, Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization

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