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Author

Akiko Takeda

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Aug 2026

A Primal-Dual Interior Point Trust Region Method for Second-Order Stationary Points of Riemannian Inequality-Constrained Optimization Problems

To the best of the knowledge, this is the first algorithm that incorporates the trust region strategy for constrained optimization on Riemannian manifolds and has the second-order convergence property for optimization problems on Riemannian manifolds with nonlinear inequality constraints.

Mitsuaki Obara, Takayuki Okuno, Akiko Takeda · 0 citations

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