A matrix-algebraic algorithm for the Riemannian logarithm on the Stiefel manifold under the canonical metric

Authors :: Ralf Zimmermann
Source :: Zimmermann, R 2017, ' A matrix-algebraic algorithm for the Riemannian logarithm on the Stiefel manifold under the canonical metric ', SIAM Journal on Matrix Analysis and Applications, vol. 38, no. 2, pp. 322-342 . https://doi.org/10.1137/16M1074485
Publication Year :: 2016
Abstract: We derive a numerical algorithm for evaluating the Riemannian logarithm on the Stiefel manifold with respect to the canonical metric. In contrast to the existing optimization-based approach, we work from a purely matrix-algebraic perspective. Moreover, we prove that the algorithm converges locally and exhibits a linear rate of convergence.<br />30 pages, 5 figures, Matlab code

Language :: English
Database :: OpenAIRE
Journal :: Zimmermann, R 2017, ' A matrix-algebraic algorithm for the Riemannian logarithm on the Stiefel manifold under the canonical metric ', SIAM Journal on Matrix Analysis and Applications, vol. 38, no. 2, pp. 322-342 . https://doi.org/10.1137/16M1074485
Accession number :: edsair.doi.dedup.....2999064aafcabe6c1283083a0eb4498a
Full Text :: https://doi.org/10.1137/16M1074485

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