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