Riemannian interior point methods achieve local near-quadratic convergence to second-order stationary points, with the first algorithm shown to combine this local rate and global convergence guarantees.
IEEE Transactions on Automatic Control 69(3), 2060–2066 (2024)
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Local near-quadratic convergence of Riemannian interior point methods
Riemannian interior point methods achieve local near-quadratic convergence to second-order stationary points, with the first algorithm shown to combine this local rate and global convergence guarantees.