Hong's canonical form of a Hermitian matrix with respect to orthogonal *congruence

DOI10.1016/j.laa.2021.08.007zbMath1477.15034OpenAlexW3195407956MaRDI QIDQ821010

Tadej Starčič

Publication date: 29 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.08.007

zbMATH Keywords

Hermitian matrixsymmetric matrixcanonical formsimultaneous reductioncomplex orthogonal matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21) Orthogonal matrices (15B10)

Related Items (1)

Isotropy groups of the action of orthogonal similarity on symmetric matrices

Cites Work

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• A Hermitian canonical form for complex matrices under consimilarity
• On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence
• A canonical form for matrices under consimilarity
• On normal forms of complex points of codimension 2 submanifolds
• A Canonical Form for Hermitian Matrices under Complex Orthogonal Congruence
• Orthogonal Classification of Hermitian Matrices

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