A simple proof of the generalized Craig-Sakamoto theorem

DOI10.1016/j.laa.2012.02.028zbMath1246.15019OpenAlexW2125913506MaRDI QIDQ426072

Jikun Yi, Jin Zhang

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.02.028

zbMATH Keywords

independenceeigenvaluequadratic formsymmetric matrixmatrix identities

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Quadratic and bilinear forms, inner products (15A63)

Related Items (3)

A reformulation of the criteria for the independence of quadratic functions in normal variables ⋮ A generalization of the Craig-Sakamoto theorem to Euclidean Jordan algebras ⋮ Orthogonal sets of normal or conjugate-normal matrices

Cites Work

• 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
• On the Craig--Sakamoto theorem and Olkin's determinantal result
• A History of the Development of Craig's Theorem

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