An analytical proof of Ogawa's determinantal theorem

DOI10.1007/S00010-011-0101-2zbMath1243.26003OpenAlexW2060592478MaRDI QIDQ662373

Xavier Bonnefond

Publication date: 22 February 2012

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-011-0101-2

zbMATH Keywords

determinantdifferential calculusCraig-Sakamoto's theoremSymmetric real matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Matrix equations and identities (15A24)

Related Items (1)

Orthogonal sets of normal or conjugate-normal matrices

Cites Work

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• One more simple proof of the Craig-Sakamoto theorem
• A tale of two countries: The Craig-Sakamoto-Matusita theorem
• Close to the Craig-Sakamoto's theorem
• On a determinant result of I. Olkin
• A determinantal proof of the Craig-Sakamoto theorem
• A simple proof of the Craig-Sakamoto theorem
• Craig-Sakamoto's theorem for the Wishart distributions on symmetric cones
• A History of the Development of Craig's Theorem
• Note on the independence of certain statistics

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