Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for \(J\)-Hermitian and \(J\)-normal matrices

DOI10.1016/j.laa.2010.01.035zbMath1194.15015OpenAlexW2054947875MaRDI QIDQ972784

Susana Furtado, João da Providência, Natália Bebiano

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.01.035

zbMATH Keywords

indefinite inner product\(J\)-Hermitian matrixinterlacing eigenvalues\(J\)-normal matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

On the eigenvalues of principal submatrices of \(J\)-normal matrices ⋮ A quasi-Jacobi form for \(J\)-normal matrices and inverse eigenvalue problems

Cites Work

• Unnamed Item
• The \(J\)-numerical range of a \(J\)-Hermitian matrix and related inequalities
• Matrices and indefinite scalar products
• Some interlacing results for indefinite Hermitian matrices
• Inequalities for \(J\)-Hermitian matrices
• Imbedding Conditions for Hermitian and Normal Matrices
• Inverse spectral problem for normal matrices and the Gauss-Lucas theorem

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