A real-coninvolutory analog of the polar decomposition

DOI10.1016/0024-3795(93)90227-FzbMath0814.15011MaRDI QIDQ686379

Dennis I. Merino, Roger A. Horn

Publication date: 13 October 1993

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

zbMATH Keywords

factorizationpolar decompositioncanonical formunitary matricessingular valueJordan blockconinvolutory matricesconsimilarityconinvolutory dilation

Mathematics Subject Classification ID

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

Related Items (16)

The \(\psi_S\) polar decomposition ⋮ Contragredient equivalence: A canonical form and some applications ⋮ Structured strong $\boldsymbol{\ell}$-ifications for structured matrix polynomials in the monomial basis ⋮ Expressing infinite matrices over rings as products of involutions ⋮ The phiS polar decomposition when the cosquare of S is nonderogatory ⋮ On a new type of unitoid matrices ⋮ Coninvolutory matrices, multi-affine polynomials, and invariant circles ⋮ Structured backward error analysis of linearized structured polynomial eigenvalue problems ⋮ 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 \(X\bar X = A\) ⋮ Skew-coninvolutory matrices ⋮ The \(\psi_{S}\) polar decomposition when the cosquare of \(S\) is normal ⋮ Approximations with Real Linear Modules ⋮ Canonical forms for unitary congruence and *congruence

Cites Work

• A canonical form for matrices under consimilarity
• Matrix Analysis
• A characterization of unitary congruence
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