A note on canonical forms for matrix congruence

DOI10.1016/0024-3795(95)00357-6zbMath0886.15008OpenAlexW2054921186MaRDI QIDQ2564908

David A. Weinberg, Jeffrey M. Lee

Publication date: 23 April 1998

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00357-6

zbMATH Keywords

orbitbilinear formssymmetric matrixskew symmetric matrixcanonical formmatrix pencilsmatrix congruencesemiorthogonal group

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (5)

Pairs of Hermitian and skew-Hermitian quaternionic matrices: canonical forms and their applications ⋮ Canonical matrices of bilinear and sesquilinear forms ⋮ Matrices with orthogonal groups admitting only determinant one ⋮ Canonical forms for complex matrix congruence and \(^{*}\)-congruence ⋮ Canonical forms for congruence of matrices and \(T\)-palindromic matrix pencils: a tribute to H. W. Turnbull and A. C. Aitken

Cites Work

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• Pencils of complex and real symmetric and skew matrices
• Congruence and conjunctivity of matrices
• Appendix: Degenerate bilinear forms
• The equivalence of bilinear forms
• On the conjugacy classes in the unitary, symplectic and orthogonal groups

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