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
· SIAM Journal on Optimization · 0 citations