On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence

DOI10.1016/0024-3795(86)90241-7zbMath0593.15005OpenAlexW2017365228WikidataQ127015496 ScholiaQ127015496MaRDI QIDQ1076104

Charles R. Johnson, Roger A. Horn, Yoo Pyo Hong

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90241-7

zbMATH Keywords

Hermitian matrixsymmetric matricesnonsingular congruencesimultaneous transformation of a matrix pair to diagonal form

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

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Cites Work

• The codimension of singular matrix pairs
• On simultaneous diagonalization of one Hermitian and one symmetric form
• On inequalities between Hermitian and symmetric forms
• On the Grunsky inequalities for univalent functions
• On simultaneous reduction of families of matrices to triangular or diagonal form by unitary congruences
• On the Reduction of a Matrix to Triangular or Diagonal Form by Consimilarity
• Symplectic Geometry
• Ein Satz Ueber Quadratische Formen Mit Komplexen Koeffizienten