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math.OC2026
Optimization over the intersection of manifolds
Yan Yang, Bin Gao, Ya-xiang Yuan
Optimization over the intersection of two manifolds arises in a broad range of applications, but is hindered by the coupled geometry of the feasible region. In this paper, we prove…
math.OC2026
A second-order method landing on the Stiefel manifold via Newton$\unicode{x2013}$Schulz iteration
Xinhui Xiong, Bin Gao, P. -A. Absil
Retraction-free approaches offer attractive low-cost alternatives to Riemannian methods on the Stiefel manifold, but they are often first-order, which may limit the efficiency unde…