A quasi-Jacobi form for \(J\)-normal matrices and inverse eigenvalue problems

DOI10.1016/j.laa.2011.06.017zbMath1264.15030OpenAlexW2060924856MaRDI QIDQ765183

João da Providência, Susana Furtado, Natália Bebiano

Publication date: 19 March 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.2011.06.017

zbMATH Keywords

indefinite inner product\(J\)-Hermitian matrixinverse eigenvalue problems\(J\)-normal matrix\(J\)-unitary matrixquasi-Jacobi matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21) Orthogonal matrices (15B10)

Related Items (1)

An algorithm for constructing a pseudo‐Jacobi matrix from given spectral data

Cites Work

• Unnamed Item
• Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for \(J\)-Hermitian and \(J\)-normal matrices
• Matrices and indefinite scalar products
• Some interlacing results for indefinite Hermitian matrices
• \(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices
• On the pseudounitary \(QR\) algorithm for pseudo-Hermitian matrices
• On the construction of a Jacobi matrix from spectral data
• Imbedding Conditions for Hermitian and Normal Matrices
• Eigenvalues of sums of pseudo-Hermitian matrices
• Inverse spectral problem for normal matrices and the Gauss-Lucas theorem

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