A Convexity Proof of Hadamard's Inequality

DOI10.2307/2975653zbMath0526.15011OpenAlexW4231068055MaRDI QIDQ3041354

Albert W. Marshall, Ingram Olkin

Publication date: 1982

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975653

zbMATH Keywords

convexityJensen's inequalitydeterminantHadamard's inequalitypositive semidefinite Hermitian matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45)

Related Items (6)

Group-invariant analogues of Hadamard's inequality ⋮ An analog of Drury's result in normal decomposition systems ⋮ Revisiting a sharpened version of Hadamard's determinant inequality ⋮ On orthogonal projectors induced by compact groups and Haar measures ⋮ Concavity of certain functions of matrices ⋮ Extensions of the Hadamard determinant theorem

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