Some interlacing results for indefinite Hermitian matrices

DOI10.1016/0024-3795(85)90072-2zbMath0577.15006OpenAlexW1966855976MaRDI QIDQ1065893

Branko Najman, Heinz K. Langer

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90072-2

zbMATH Keywords

indefinite inner productHermitian matrixinterlacing inequalitiesJordan chainsprincipal submatrixlocation of the spectrum

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for \(J\)-Hermitian and \(J\)-normal matrices ⋮ A quasi-Jacobi form for \(J\)-normal matrices and inverse eigenvalue problems ⋮ Pencils of complex and real symmetric and skew matrices

Cites Work

• Minimal factorization of matrix and operator functions
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
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