Computing the Iwasawa decomposition of the classical Lie groups of noncompact type using the \(QR\) decomposition

DOI10.1016/j.laa.2015.12.013zbMath1335.22010OpenAlexW2225440852WikidataQ115344457 ScholiaQ115344457MaRDI QIDQ905745

N. E. Zubov

Publication date: 28 January 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.2015.12.013

zbMATH Keywords

QR decompositionIwasawa decompositionclassical Lie groups

Mathematics Subject Classification ID

General properties and structure of complex Lie groups (22E10) General properties and structure of real Lie groups (22E15)

Related Items (4)

Canonical domains for coadjoint orbits ⋮ Unnamed Item ⋮ On the Iwasawa decomposition of a perplectic matrix ⋮ Fast reduction of algebraic lattices over cyclotomic fields

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic behavior of Iwasawa and Cholesky iterations
• An extension of Yamamoto's theorem on the eigenvalues and singular values of a matrix
• On the Iwasawa decomposition of a symplectic matrix
• Computing the Iwasawa decomposition of a symplectic matrix by Cholesky factorization
• Minimal K-Types for G 2 Over a p-Adic Field
• On convexity, the Weyl group and the Iwasawa decomposition
• Matrices
• Spherical Functions on SO₀(p, q)/ SO(p) × SO(q)
• Introduction to Lie Algebras and Representation Theory

This page was built for publication: Computing the Iwasawa decomposition of the classical Lie groups of noncompact type using the \(QR\) decomposition