On the Craig--Sakamoto theorem and Olkin's determinantal result

DOI10.1016/S0024-3795(02)00615-8zbMath1020.15015MaRDI QIDQ1870082

Masaya Matsuura

Publication date: 4 May 2003

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

zbMATH Keywords

eigenvaluesFrobenius normdeterminantnormal matricesCraig-Sakamoto theorem

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (5)

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 ⋮ Orthogonal sets of normal or conjugate-normal matrices ⋮ Close to the Craig-Sakamoto's theorem

Cites Work

• On a determinant result of I. Olkin
• A determinantal proof of the Craig-Sakamoto theorem
• A simple proof of the Craig-Sakamoto theorem
• A History of the Development of Craig's Theorem
• Unnamed Item

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