The polar-light retraction maps tangent vectors to the Stiefel manifold via U expm(U^T ξ) + (I-UU^T)ξ normalized, giving a second-order retraction with an explicit inverse via SVD and matrix logarithm.
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An new polar factor retraction on the Stiefel manifold with closed-form inverse
The polar-light retraction maps tangent vectors to the Stiefel manifold via U expm(U^T ξ) + (I-UU^T)ξ normalized, giving a second-order retraction with an explicit inverse via SVD and matrix logarithm.