On the implementation of Lie group methods on the Stiefel manifold
type: Item
instance of: scholarly article
title: On the implementation of Lie group methods on the Stiefel manifold
zbMATH Open document ID: 1029.65072
DOI: 10.1023/A:1024079724094
author: Elena Celledoni
author: Brynjulf Owren
published in: Numerical Algorithms
publication date: 2003-08-06T00:00:00Z
review text: The authors show how computationally to implement Lie group methods by exploiting the fact that a function of an \(n\times n\) matrix of rank \(2p\) can be evaluated with \(O(np^2)\) complexity.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34A26
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 1960070
zbMATH Keywords: Stiefel manifold
zbMATH Keywords: time integration
zbMATH Keywords: geometric integration
zbMATH Keywords: ordinary differential equations on manifolds
zbMATH Keywords: Lie algebras
zbMATH Keywords: Lie group method
zbMATH Keywords: complexity
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
full work available at URL: a:1024079724094
OpenAlex ID: W2133318743
description: scientific article; zbMATH DE number 1960070