On the Iwasawa decomposition of a symplectic matrix

DOI10.1016/j.aml.2006.04.004zbMath1118.15015OpenAlexW2157896905MaRDI QIDQ2371129

Nader Razouk, Michele Benzi

Publication date: 29 June 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.04.004

zbMATH Keywords

algorithmsymplectic groupCholesky factorizationnumerical stabilityQR factorization

Mathematics Subject Classification ID

Related Items (9)

Optimal unit triangular factorization of symplectic matrices ⋮ Unnamed Item ⋮ Strongly exponentially separated linear systems ⋮ On computing the symplectic \(LL^T\) factorization ⋮ Computing the Iwasawa decomposition of the classical Lie groups of noncompact type using the \(QR\) decomposition ⋮ Optimal symplectic Householder transformations for \(SR\) decomposition ⋮ Unit Triangular Factorization of the Matrix Symplectic Group ⋮ Computing the Iwasawa decomposition of a symplectic matrix by Cholesky factorization ⋮ On the Iwasawa decomposition of a perplectic matrix

Uses Software

• mctoolbox
• Algorithm 854

Cites Work

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• Matrix factorizations for symplectic QR-like methods
• Computing the Iwasawa decomposition of a symplectic matrix by Cholesky factorization
• On some types of topological groups
• Algorithm 854
• Accuracy and Stability of Numerical Algorithms

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