3 papers
math.OC2026
A Regularized Nikaido-Isoda Function Approach to Multi-Leader-Follower Games
Atsushi Hori, Takayuki Okuno, Ellen H. Fukuda
A multi-leader--follower game (MLFG) is a hierarchical noncooperative game in which leaders compete at the upper level while taking into account the followers' best responses at th…
math.OC2026
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.OC2026
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…