The \(\phi_S\) polar decomposition when the cosquare of \(S\) is normal

DOI10.1016/j.laa.2014.11.009zbMath1305.15033OpenAlexW4206825044MaRDI QIDQ477747

Daryl Q. Granario, Dennis I. Merino, Agnes T. Paras

Publication date: 9 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.11.009

zbMATH Keywords

Jordan canonical form\(\phi_S\) polar decomposition\(\phi_S\) orthogonal matrices\(\phi_S\) skew symmetric matrix\(\phi_S\) symmetric matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21) Orthogonal matrices (15B10)

Related Items (5)

On the Lie algebra associated to \(S\)-unitary matrices ⋮ Skew \(\phi\) polar decompositions ⋮ The phiS polar decomposition when the cosquare of S is nonderogatory ⋮ The \(\psi_{S}\) polar decomposition when the cosquare of \(S\) is normal ⋮ The sum of two \(\phi_{S}\) orthogonal matrices when \(S^{-T}S\) is normal and \(-1\notin \sigma(S^{-T}S)\)

Cites Work

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• The \(\phi _S\) polar decomposition of matrices
• Contragredient equivalence: A canonical form and some applications
• The \(\phi_S\) polar decomposition
• The Jordan canonical forms of complex orthogonal and skew-symmetric matrices
• Canonical forms for unitary congruence and *congruence

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