Orthogonal sets of normal or conjugate-normal matrices

DOI10.1016/j.laa.2015.06.007zbMath1330.15047OpenAlexW629552308MaRDI QIDQ490891

Minghua Lin

Publication date: 21 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.06.007

zbMATH Keywords

orthogonalitynormal matricesconjugate-normal matricesCraig-Sakamoto theoremrank additivity

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)

Cites Work

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• A simple proof of the generalized Craig-Sakamoto theorem
• An analytical proof of Ogawa's determinantal theorem
• One more simple proof of the Craig-Sakamoto theorem
• A tale of two countries: The Craig-Sakamoto-Matusita theorem
• Conjugate-normal matrices: A survey
• Close to the Craig-Sakamoto's theorem
• On rank additivity and the polynomial equation \(p(A)=0\)
• 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 Matrix Application of Newton's Identities
• On the Product of Singular Symmetric Matrices
• A Determinantal Inequality for Projectors in a Unitary Space

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