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math.DG2025
The Exponential of Skew-Symmetric Matrices: A Nearby Inverse and Efficient Computation of Derivatives
Zhifeng Deng, P. -A. Absil, Kyle A. Gallivan +1
The matrix exponential restricted to skew-symmetric matrices has numerous applications, notably in view of its interpretation as the Lie group exponential and Riemannian exponentia…
math.DG2024
The ultimate upper bound on the injectivity radius of the Stiefel manifold
P. -A. Absil, Simon Mataigne
We exhibit conjugate points on the Stiefel manifold endowed with any member of the family of Riemannian metrics introduced by Hüper et al. (2021). This family contains the well-kno…