Name
Abstract | ||
|---|---|---|
In this paper, we describe a two-stage method for solving optimization problems with bound constraints. It combines the active-set estimate described in Facchinei and Lucidi (J Optim Theory Appl 85(2):265---289, 1995) with a modification of the non-monotone line search framework recently proposed in De Santis et al. (Comput Optim Appl 53(2):395---423, 2012). In the first stage, the algorithm exploits a property of the active-set estimate that ensures a significant reduction in the objective function when setting to the bounds all those variables estimated active. In the second stage, a truncated-Newton strategy is used in the subspace of the variables estimated non-active. In order to properly combine the two phases, a proximity check is included in the scheme. This new tool, together with the other theoretical features of the two stages, enables us to prove global convergence. Furthermore, under additional standard assumptions, we can show that the algorithm converges at a superlinear rate. Promising experimental results demonstrate the effectiveness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s10957-016-1024-9 | J. Optimization Theory and Applications |
Keywords | Field | DocType |
Bound-constrained optimization, Large-scale optimization, Active-set methods, Non-monotone stabilization techniques, 90C30, 90C06, 49M15 | Convergence (routing),Mathematical optimization,Subspace topology,Active set method,Line search,Optimization problem,Mathematics,Constrained optimization | Journal |
Volume | Issue | ISSN |
172 | 2 | 1573-2878 |
Citations | PageRank | References |
2 | 0.38 | 18 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andrea Cristofari | 1 | 2 | 0.38 |
| M. Santis | 2 | 43 | 6.53 |
| Stefano Lucidi | 3 | 785 | 78.11 |
| F. Rinaldi | 4 | 181 | 19.61 |