4 papers
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems
Maurício Louzeiro, Christoph Kawan, Sigurdur Hafstein +2
In this paper, we extend a recently established subgradient method for the computation of Riemannian metrics that optimizes certain singular value functions associated with dynamic…
Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds
Orizon P. Ferreira, Maurício S. Louzeiro, Leandro F. Prudente
The steepest descent method for multiobjective optimization on Riemannian manifolds with lower bounded sectional curvature is analyzed in this paper. The aim of the paper is twofol…
Iteration-Complexity of the Subgradient Method on Riemannian Manifolds with Lower Bounded Curvature
O. P. Ferreira, M. S. Louzeiro, L. F. Prudente
The subgradient method for convex optimization problems on complete Riemannian manifolds with lower bounded sectional curvature is analyzed in this paper. Iteration-complexity boun…
Gradient Method for Optimization on Riemannian Manifolds with Lower Bounded Curvature
O. P. Ferreira, M. S. Louzeiro, L. F. Prudente
The gradient method for minimize a differentiable convex function on Riemannian manifolds with lower bounded sectional curvature is analyzed in this paper. The analysis of the meth…