A constructive proof of the Cartan-Dieudonné-Scherk theorem in the real or complex case

DOI10.1016/j.jpaa.2010.08.002zbMath1210.15013OpenAlexW2073168665MaRDI QIDQ626756

Chris Fuller

Publication date: 18 February 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.08.002

zbMATH Keywords

Cartan-Dieudonné-Scherk theoremmatrix factorizationorthogonal matrixHouseholder matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Orthogonal matrices (15B10)

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Cites Work

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• \(\mathbb G\)-reflectors: Analogues of Householder transformations in scalar product spaces
• The decomposition of an orthogonal transformation as a product of reflections
• Stabilized hyperbolic Householder transformations
• Matrix Analysis
• On the Decomposition of Orthogonalities into Symmetries
• Constructive ways for generating (generalized) real orthogonal matrices as products of (generalized) symmetries

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