The \(J\)-Householder matrices

DOI10.1016/j.laa.2011.08.002zbMath1236.15029OpenAlexW1980377706MaRDI QIDQ665939

Kennett L. de la Rosa, Dennis I. Merino, Agnes T. Paras

Publication date: 7 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.08.002

zbMATH Keywords

symplectic matrices\(J\)-Householder matrices

Mathematics Subject Classification ID

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

Related Items

Each \(2n\)-by-\(2n\) complex symplectic matrix is a product of \(n+1\) commutators of \(J\)-symmetries ⋮ The Cartan-Dieudonné-Scherk theorems for complex \(S\)-orthogonal matrices ⋮ \(S\) orthogonal matrices and \(S\) symmetries

Cites Work

• On the \(\phi_J\) polar decomposition of matrices
• Optimal symplectic Householder transformations for \(SR\) decomposition
• Contragredient equivalence: A canonical form and some applications
• Symplectic Householder transformations for a QR-like decomposition, a geometric and algebraic approaches
• Matrix Analysis