Endpoint Geodesics on the Stiefel Manifold Embedded in Euclidean Space

DOI10.1137/16M1103099zbMath1391.53049OpenAlexW2765699677MaRDI QIDQ4588938

Darshan Bryner

Publication date: 6 November 2017

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1103099

zbMATH Keywords

Riemannian geometryStiefel manifoldgeodesic

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Geodesics in global differential geometry (53C22) Local Riemannian geometry (53B20) Methods of local Riemannian geometry (53B21) Orthogonal matrices (15B10)

Related Items (6)

Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance ⋮ Closed-form geodesics and optimization for Riemannian logarithms of Stiefel and flag manifolds ⋮ A Riemannian stochastic representation for quantifying model uncertainties in molecular dynamics simulations ⋮ Convergence Analysis of Leapfrog for Geodesics ⋮ Restricted Riemannian geometry for positive semidefinite matrices ⋮ 7 Manifold interpolation

Cites Work

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• The Geometry of Algorithms with Orthogonality Constraints
• Bayesian and geometric subspace tracking
• Statistical Modeling of Curves Using Shapes and Related Features
• A Matrix-Algebraic Algorithm for the Riemannian Logarithm on the Stiefel Manifold under the Canonical Metric
• Computing Lyapunov exponents on a Stiefel manifold

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