Name
Abstract | ||
|---|---|---|
Descent property is very important for an iterative method to be globally convergent. In this paper, we propose a way to construct sufficient descent directions for unconstrained optimization. We then apply the technique to derive a PSB (Powell-Symmetric-Broyden) based method. The PSB based method locally reduces to the standard PSB method with unit steplength. Under appropriate conditions, we show that the PSB based method with Armijo line search or Wolfe line search is globally and superlinearly convergent for uniformly convex problems. We also do some numerical experiments. The results show that the PSB based method is competitive with the standard BFGS method. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s10589-009-9268-z | Comp. Opt. and Appl. |
Keywords | DocType | Volume |
Unconstrained optimization,Sufficient descent direction,PSB method,Global convergence,Superlinear convergence | Journal | 48 |
Issue | ISSN | Citations |
3 | 0926-6003 | 5 |
PageRank | References | Authors |
0.61 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiao-Min An | 1 | 5 | 0.61 |
| Donghui Li | 2 | 380 | 32.40 |
| Yunhai Xiao | 3 | 75 | 6.57 |