Geometric design of the tangent term in landing algorithms for orthogonality constraints

Florentin Goyens, Pierre-Antoine Absil, Feppon

Track: Type B (Encore Abstracts)

Keywords: constrained optimization, landing algorithms, stiefel manifold, penalty methods

Abstract: We propose a family a metrics over the set of full-rank $n\times p$ real matrices, and apply them to the landing framework for optimization under orthogonality constraints. The family of metrics we propose is a natural extension of the $\beta$-metric, defined on the Stiefel manifold.

Serve As Reviewer: ~Florentin_Goyens1

Submission Number: 24