Group-invariant analogues of Hadamard's inequality

DOI10.1016/0024-3795(83)90134-9zbMath0656.15011OpenAlexW1970673900WikidataQ126819551 ScholiaQ126819551MaRDI QIDQ1109849

Michael D. Perlman, Steen Arne Andersson

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90134-9

zbMATH Keywords

determinant inequalityunitary matricesHadamard's inequalitypositive definitecomplex Hermitian matrixinequality for fractions of the eigenvaluesunitarily invariant functions

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

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Cites Work

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• Invariant normal models
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• A Convexity Proof of Hadamard's Inequality
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• Tests for correlation matrices
• Some Metric Inequalities in the Space of Matrices
• Inequalities: theory of majorization and its applications