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A low complexity Lie group method on the Stiefel manifold

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Publication:1397985
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DOI10.1023/A:1023653006426zbMath1022.65077OpenAlexW1530474308MaRDI QIDQ1397985

Stein Krogstad

Publication date: 6 August 2003

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023653006426

zbMATH Keywords

numerical experimentsStiefel manifoldgeometric integrationarithmetic complexityLie group methodsgeneralized polar coordinates


Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Complexity and performance of numerical algorithms (65Y20) Ordinary differential equations and systems on manifolds (34C40)


Related Items

Generalized polar coordinates on Lie groups and numerical integrators, Symmetric spaces and Lie triple systems in numerical analysis of differential equations, Grassmannian spectral shooting, Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity, An introduction to Lie group integrators - basics, new developments and applications



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