Congruence and \(A^{-1}A^*\)

DOI10.4171/PM/1785zbMath1128.15006OpenAlexW2084321166MaRDI QIDQ2456043

Susana Furtado, Charles R. Johnson

Publication date: 17 October 2007

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1785

zbMATH Keywords

canonical formsSylvester's law of inertiacongruence classC-S equivalencenonsingular complex matrices

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items (1)

Unitary similarity classes within the cospectral-congruence class of a matrix

Cites Work

• Unnamed Item
• The numerical range of \(3 \times 3\) matrices
• Pencils of complex and real symmetric and skew matrices
• The range of \(A^{-1} A^*\) in GL(n,C)
• The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil
• On eigenvalues and boundary curvature of the numerical range
• On the number of unitary similarity classes in a C-S equivalence class: the normal case
• The intersection of the similarity and conjunctivity equivalence classes
• Spectral variation under congruence for a nonsingular matrix with 0 on the boundary of its field of values
• Spectral variation under congruence
• Field of values and spectra of positive definite multiples
• A generalization of Sylvester's law of inertia

This page was built for publication: Congruence and \(A^{-1}A^*\)