Name
Abstract | ||
|---|---|---|
Bearing in mind the notion of monotone vector field on Riemannian manifolds, see [12--16], we study the set of their singularities and for a particularclass of manifolds develop an extragradient-type algorithm convergent to singularities of such vector fields. In particular, our method can be used forsolving nonlinear constrained optimization problems in Euclidean space, with a convex objective function and the constraint set a constant curvature Hadamard manifold. Our paper shows how tools of convex analysis on Riemannian manifolds can be used to solve some nonconvex constrained problem in a Euclidean space. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s10898-003-3780-y | J. Global Optimization |
Keywords | Field | DocType |
riemannian manifold,monotone vector field,extragradient-type algorithm convergent,extragradient algorithm,monotone vector field.,euclidean space,extragradient-type algorithm,monotone vector fields,convex objective function,optimization problem,hadamard manifold,global optimization,convex analysis,forsolving nonlinear,constant curvature hadamard manifold,vector field,objective function | Hadamard manifold,Mathematical optimization,Scalar curvature,Mathematical analysis,Vector optimization,Algorithm,Global analysis,Convex set,Norm (mathematics),Mathematics,Manifold,Convex analysis | Journal |
Volume | Issue | ISSN |
31 | 1 | 1573-2916 |
Citations | PageRank | References |
25 | 1.81 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| O. P. Ferreira | 1 | 78 | 6.41 |
| L. R. Lucambio Pérez | 2 | 45 | 3.01 |
| S. Z. Néth | 3 | 25 | 1.81 |