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.
SIAM Journal on Optimization 29(4), 2423–2444 (2010)
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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.