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math.OC2025
Local near-quadratic convergence of Riemannian interior point methods
Mitsuaki Obara, Takayuki Okuno, Akiko Takeda
We consider Riemannian optimization problems with inequality and equality constraints and analyze a class of Riemannian interior point methods for solving them. The algorithm of in…
math.OC2025
A primal-dual interior point trust region method for second-order stationary points of Riemannian inequality-constrained optimization problems
Mitsuaki Obara, Takayuki Okuno, Akiko Takeda
We consider Riemannian inequality-constrained optimization problems. Such problems inherit the benefits of Riemannian approach developed in the unconstrained setting and naturally…