The \(\psi_{S}\) polar decomposition when the cosquare of \(S\) is normal

DOI10.1016/j.laa.2016.01.025zbMath1333.15020OpenAlexW2004921939MaRDI QIDQ5962836

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

Publication date: 24 February 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.01.025

zbMATH Keywords

eigenvalue\(\psi_S\) orthogonal matrices\(\psi_S\) polar decomposition\(\psi_S\) symmetric matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21) Orthogonal matrices (15B10)

Related Items (1)

The phiS polar decomposition when the cosquare of S is nonderogatory

Cites Work

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• The \(\phi_S\) polar decomposition when the cosquare of \(S\) is normal
• The \(\phi _S\) polar decomposition of matrices
• A real-coninvolutory analog of the polar decomposition
• The \(\psi_S\) polar decomposition
• Skew-coninvolutory matrices
• A generalized polar decomposition
• Contragredient equivalence: A canonical form and some applications
• Polar decompositions in finite dimensional indefinite scalar product spaces: General theory
• The \(\phi_S\) polar decomposition
• Algebraic Polar Decomposition
• Canonical forms for unitary congruence and *congruence

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