Introduces the Riemannian ball-proximal point method (RB-PPM) that minimizes geodesically convex functions over metric balls on Hadamard manifolds and proves quasi-Fejér monotonicity, finite termination under constant radii, and convergence when the sum of radii diverges.
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Ball-proximal point method on a Hadamard Manifolds
Introduces the Riemannian ball-proximal point method (RB-PPM) that minimizes geodesically convex functions over metric balls on Hadamard manifolds and proves quasi-Fejér monotonicity, finite termination under constant radii, and convergence when the sum of radii diverges.