Spectral variation under congruence for a nonsingular matrix with 0 on the boundary of its field of values

DOI10.1016/S0024-3795(02)00429-9zbMath1018.15008MaRDI QIDQ1864961

Susana Furtado, Charles R. Johnson

Publication date: 23 March 2003

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

zbMATH Keywords

field of valuescongruencespectral variationreducible form

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items (9)

Phases of discrete-time LTI multivariable systems ⋮ On the phases of a semi-sectorial matrix and the essential phase of a Laplacian ⋮ Congruence and \(A^{-1}A^*\) ⋮ Variation in Jordan structure under congruence: The nilpotent case ⋮ Unitary similarity classes within the cospectral-congruence class of a matrix ⋮ Variation in Jordan structure under congruence: the nonsingular case ⋮ On the phases of a complex matrix ⋮ New phase of phase ⋮ On the number of unitary similarity classes in a C-S equivalence class: the normal case

Cites Work

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• Eigenvalues of the unitary part of a matrix
• The range of \(A^{-1} A^*\) in GL(n,C)
• The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil
• Spectral variation under congruence
• Matrix Analysis
• Field of values and spectra of positive definite multiples
• Inequalities: theory of majorization and its applications
• A generalization of Sylvester's law of inertia

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