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math.NA2026
Conditioning and interpolation error bounds for second-order Stiefel retractions with closed-form inverses
Rasmus Jensen, Ralf Zimmermann
Retractions provide a computationally efficient alternative to the Riemannian exponential and logarithm maps for practical data-processing tasks on manifolds. In particular, second…
math.NA2026
An new polar factor retraction on the Stiefel manifold with closed-form inverse
Rasmus Jensen, Ralf Zimmermann
Retractions are the workhorses in Riemannian computing applications, where computational efficiency is of the essence. This work introduces a new retraction on the compact Stiefel…