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

Publikation: Forskning - peer reviewTidsskriftartikel

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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 optimization-based approach known from the literature,
we work from a purely matrix-algebraic perspective.
Moreover, we prove that the algorithm converges locally and
exhibits a linear rate of convergence.
OriginalsprogEngelsk
TidsskriftSIAM Journal on Matrix Analysis and Applications
Vol/bind38
Tidsskriftsnummer2
Sider (fra-til)322-342
ISSN0895-4798
DOI
StatusUdgivet - 2017

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