The generation of all rational orthogonal matrices in \(\mathbb R^{p,q}\)

DOI10.1016/j.laa.2015.12.031zbMath1382.15042OpenAlexW2258669420MaRDI QIDQ5965391

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Publication date: 3 March 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.2015.12.031

zbMATH Keywords

Clifford algebrasCartan-Dieudonné theoremHouseholder transformationsorthogonal matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Clifford algebras, spinors (15A66) Orthogonal matrices (15B10)

Cites Work

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• Solving some quadratic Diophantine equations with Clifford algebra
• An algorithm for the Cartan-Dieudonné theorem on generalized scalar product spaces
• A constructive proof of the Cartan-Dieudonné-Scherk theorem in the real or complex case
• Polynomial and rational matrices. Applications in dynamical systems theory
• Reflections, rotations, and Pythagorean numbers
• The decomposition of an orthogonal transformation as a product of reflections
• The Generation of All Rational Orthogonal Matrices
• Coincidence lattices in the hyperbolic plane
• Constructive ways for generating (generalized) real orthogonal matrices as products of (generalized) symmetries

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