Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents.
type: Item
instance of: scholarly article
title: Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents.
zbMATH Open document ID: 1047.65108
DOI: 10.1016/S0377-0427(03)00644-7
published in: Journal of Computational and Applied Mathematics
publication date: 2004-03-15T00:00:00Z
review text: The authors consider solutions of \(x'= A(t)x\), where \(A^+(t)D+ DA(t)= 0\), \(D= \left(\begin{smallmatrix} I_n & 0\\ 0 &-I_n\end{smallmatrix}\right)\) \(n\neq 0\neq n\), \(n\geq m\). They give an explicit constructive characterization of the singular value decomposition (SVD) of \(x\) using polar factorization. They consider a specific application in terms of approximating the Lyapunov exonents of \(x\) and give some numerical illustrations of their approach.
reviewed by: Kevin Burrage
Mathematics Subject Classification ID: 65P40
Mathematics Subject Classification ID: 65L07
Mathematics Subject Classification ID: 37M25
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 2057229
zbMATH Keywords: Lorentz group
zbMATH Keywords: singular value decomposition
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: numerical examples
zbMATH Keywords: polar factorization
author: Luca Dieci
author: Cinzia Elia
author: Luciano Lopez
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2057229