4 papers
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…
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…
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…
Sequential Quadratic Optimization for Nonlinear Optimization Problems on Riemannian Manifolds
Mitsuaki Obara, Takayuki Okuno, Akiko Takeda
We consider optimization problems on Riemannian manifolds with equality and inequality constraints, which we call Riemannian nonlinear optimization (RNLO) problems. Although they h…