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If the question is still relevant to you, have a look at the paper:

R. Zimmermann: A Matrix-Algebraic Algorithm for the Riemannian Logarithm on the Stiefel Manifold under the Canonical Metric, SIAM. J. Matrix Anal. & Appl. 38-2 (2017), pp. 322-342, arXiv:1604.05054, doi: 10.1137/16M1074485

If the question is still relevant to you, have a look at the paper:

R. Zimmermann: A Matrix-Algebraic Algorithm for the Riemannian Logarithm on the Stiefel Manifold under the Canonical Metric, SIAM. J. Matrix Anal. & Appl. 38-2 (2017), pp. 322-342

If the question is still relevant to you, have a look at the paper:

R. Zimmermann: A Matrix-Algebraic Algorithm for the Riemannian Logarithm on the Stiefel Manifold under the Canonical Metric, SIAM. J. Matrix Anal. & Appl. 38-2 (2017), pp. 322-342, arXiv:1604.05054, doi: 10.1137/16M1074485

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If the question is still relevant to you, have a look at the paper:

R. Zimmermann: A Matrix-Algebraic Algorithm for the Riemannian Logarithm on the Stiefel Manifold under the Canonical Metric, SIAM. J. Matrix Anal. & Appl. 38-2 (2017), pp. 322-342