The canonical correlations of a 2\({\times}\)2 block matrix with given eigenvalues

DOI10.1016/S0024-3795(01)00554-7zbMath1016.62077OpenAlexW2044770664MaRDI QIDQ1855348

Stephen W. Drury

Publication date: 5 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00554-7

zbMATH Keywords

block matricesweak majorizationcanonical correlationsdeterminantal inequalitiespartitioned matricesmajorization of eigenvaluesBartlett-Styan conjectureBloomfield-Watson-Knott inequalityHorn's conjecture

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Maximizing traces of matrix functions

Cites Work

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• Stable bundles, representation theory and Hermitian operators
• Inequalities on the singular values of an off-diagonal block of a Hermitian matrix
• Linear Algebra to Quantum Cohomology: The Story of Alfred Horn's Inequalities
• Inefficiency and correlation
• The inefficiency of least squares
• On the minimum efficiency of least squares
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Inequalities: theory of majorization and its applications
• Random walks on symmetric spaces and inequalities for matrix spectra
• The symplectic and algebraic geometry of Horn's problem

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