On the eigenvalues of principal submatrices of \(J\)-normal matrices

DOI10.1016/j.laa.2011.05.033zbMath1229.15009OpenAlexW2010672365MaRDI QIDQ716419

Natália Bebiano, João da Providência, Susana Furtado

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.05.033

zbMATH Keywords

indefinite inner productinterlacing eigenvalues\(J\)-normal matrix

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45) Linear operators on spaces with an indefinite metric (47B50)

Related Items (3)

Effects of a non-Hermitian potential on the Landau quantization ⋮ An algorithm for constructing a pseudo‐Jacobi matrix from given spectral data ⋮ Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra

Cites Work

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• Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for \(J\)-Hermitian and \(J\)-normal matrices
• \(J\)-orthostochastic matrices of size \(3 \times 3\) and numerical ranges of Krein space operators
• Imbedding Conditions for Hermitian and Normal Matrices
• On the eigenvalues of principal submatrices of normal, hermitian and symmetric matrices
• Shells of matrices in indefinite inner product spaces

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