Pairs of alternating forms and products of two skew-symmetric matrices

DOI10.1016/0024-3795(84)90139-3zbMath0557.15016OpenAlexW1977706735MaRDI QIDQ762247

Roderick Gow, Thomas J. Laffey

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90139-3

zbMATH Keywords

skew-symmetric matricesmatrix factorizationsmatrix pairspairs of alternating forms

Mathematics Subject Classification ID

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

Related Items (13)

Matrices of \(\mathrm{SL}(4,\mathbb R)\) that are the product of two skew-symmetric matrices ⋮ Symmetric bilinear forms and vertices in characteristic 2 ⋮ Alternating forms and self-adjoint operators ⋮ The operator factorization problems ⋮ Invariant bilinear forms under the operator group of order p³ with odd prime p ⋮ Each symplectic matrix is a product of four symplectic involutions ⋮ When does a linear map belong to at least one orthogonal or symplectic group? ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Space of invariant bilinear forms ⋮ On the product of two skew-Hamiltonian or two skew-symmetric matrices ⋮ From Independent Sets and Vertex Colorings to Isotropic Spaces and Isotropic Decompositions: Another Bridge between Graphs and Alternating Matrix Spaces ⋮ Convergence to pure steady states of linear quantum systems

Cites Work

• On the similarity transformation between a matrix and its transpose
• Isometrien von Vektorräumen. I
• Paare alternierender Formen
• A rational canonical pair form for a pair of symmetric matrices over an arbitrary field F with char F ≠ 2 and applications to finest simultaneous block diagonalizations
• Unnamed Item

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