The scripts in this repository realize the numerical experiments associated with the publication
J. Stoye, R. Zimmermann "On the Injectivity Radius of the Stiefel Manifold: Numerical investigations and an explicit construction of a cut point at short distance", arXiv:2403.03782, March 2024.
We made use of functions for the Stiefel Exponential and the Stiefel Logarithm derived in:
R. Zimmermann, K. H"uper "Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods and Performance", doi.org/10.1137/21M1425426, 2022.
To run this scripts, you need the files 'Stiefel_Exp_Log.py' and 'Stiefel_Aux.py' from the repository
https://github.com/RalfZimmermannSDU/RiemannStiefelLog/tree/main/Stiefel_log_general_metric/
associated to the publication
R. Zimmermann, K. H"uper "Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods and Performance", doi.org/10.1137/21M1425426, 2022
as they contain functions for the Stiefel Exponential and Stiefel Logarithm.