Skew-coninvolutory matrices

DOI10.1016/j.laa.2007.05.037zbMath1127.15009OpenAlexW2032135449MaRDI QIDQ996310

Dennis I. Merino, Agnes T. Paras, Ma. Nerissa M. Abara

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.037

zbMATH Keywords

singular value decompositioncanonical formsconinvolutory matricesskew-coninvolutory matrices

Mathematics Subject Classification ID

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

Related Items

The \(\psi_S\) polar decomposition, Each \(n\)-by-\(n\) matrix with \(n>1\) is a sum of 5 coninvolutory matrices, Products of symplectic normal matrices, Each symplectic matrix is a product of four symplectic involutions, Verifying unitary congruence of coninvolutions, skew-coninvolutions, and connilpotent matrices of index two, Quadratically normal and congruence-normal matrices, On the matrix equation \(X\bar X = A\), The \(\psi_{S}\) polar decomposition when the cosquare of \(S\) is normal, On the singular value decomposition of (skew-)involutory and (skew-)coninvolutory matrices, \(\psi_S\)-orthogonal matrices and \(\psi_S\)-symmetries

Cites Work

• A real-coninvolutory analog of the polar decomposition
• Contragredient equivalence: A canonical form and some applications
• Matrix Analysis