A determinantal proof of the Craig-Sakamoto theorem

DOI10.1016/S0024-3795(96)00484-3zbMath0887.15009MaRDI QIDQ1369294

Ingram Olkin

Publication date: 25 May 1998

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

zbMATH Keywords

symmetric matricesCraig-Sakamoto theoremmatrix identity

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (11)

One more simple proof of the Craig-Sakamoto theorem ⋮ A reformulation of the criteria for the independence of quadratic functions in normal variables ⋮ A simple proof of the generalized Craig-Sakamoto theorem ⋮ A generalization of the Craig-Sakamoto theorem to Euclidean Jordan algebras ⋮ An analytical proof of Ogawa's determinantal theorem ⋮ Orthogonal sets of normal or conjugate-normal matrices ⋮ 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 simple proof of the Craig-Sakamoto theorem ⋮ On the Craig--Sakamoto theorem and Olkin's determinantal result

Cites Work

• A History of the Development of Craig's Theorem
• On the Number of Distinct Terms in the Expansion of Symmetric and Skew Determinants

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