4 citations · 13 across the 14 of their papers we have counts for
4 papers · 1 filter
Projected Gradient Method on Hadamard Manifolds
O. P. Ferreira, M. L. N. Gonçalves, A. M. González +1
We study constrained smooth optimization problems on Hadamard manifolds with closed geodesically convex feasible sets. We analyze two projected gradient schemes: one with a constan…
A Second-Order Algorithm Based on Affine Scaling Interior-Point Methods for nonlinear Optimisation with bound constraints
Yonggang Pei, Yubing Lin, Mauricio Silva Louzeiro +1
The homogeneous second-order descent method (Zhang et al. 2025, Mathematics of Operations Research) was initially proposed for unconstrained optimisation problems. HSODM shows exce…
A Busemann hybrid projection-proximal point algorithm for optimization problems on Hadamard manifolds
R. Díaz Millán, O. P. Ferreira, M. S. Louzeiro +1
We study optimization problems on Hadamard manifolds, motivated by recent advances in geometric approaches to optimization on curved spaces, particularly those involving the struct…
A subdifferential characterization via Busemann functions and applications to DC optimization on Hadamard manifolds
O. P. Ferreira, D. S. Gonçalves, M. S. Louzeiro +2
This paper investigates the properties of Busemann functions on Hadamard manifolds and their use in optimization algorithms in Riemannian settings. We present a new Busemann-based…