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In this paper we probe into the geometric properties of matrix exponentials and their approximations related to optimization on the Stiefel manifold. The relation between matrix exponentials and geodesics or… Click to show full abstract
In this paper we probe into the geometric properties of matrix exponentials and their approximations related to optimization on the Stiefel manifold. The relation between matrix exponentials and geodesics or retractions on the Stiefel manifold is discussed. Diagonal Padé approximation to matrix exponentials is used to construct new retractions. A Krylov subspace implementation of the new retractions is also considered for the orthogonal group and the Stiefel manifold with a very high rank.
Keywords:
exponentials approximations;
stiefel manifold;
related optimization;
matrix exponentials;
approximations related
Journal Title: Optimization Letters
Year Published: 2019
Link to full text (if available)
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Journal Title: Optimization Letters
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!