Proves equivalence of clean intersection and intrinsic transversality for manifold intersections and proposes a geometric optimization method using retraction on one manifold with two orthogonal update directions and convergence guarantees.
V andereycken,Low-rank matrix completion by Riemannian optimization, SIAM Journal on Optimization, 23 (2013), pp
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Optimization over the intersection of manifolds
Proves equivalence of clean intersection and intrinsic transversality for manifold intersections and proposes a geometric optimization method using retraction on one manifold with two orthogonal update directions and convergence guarantees.