Abstract
For constrained nonconvex optimization, we first show that under second-order sufficient conditions, a class of augmented Lagrangian functions possess local saddle points, and then prove that global saddle points of these augmented Lagrangian functions exist under certain mild additional conditions.
| Original language | English |
|---|---|
| Pages (from-to) | 693-700 |
| Number of pages | 8 |
| Journal | Journal of Industrial and Management Optimization |
| Volume | 3 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jan 2007 |
Keywords
- Augmented Lagrangian function
- Nonconvex optimization
- Saddle point
ASJC Scopus subject areas
- Business and International Management
- Strategy and Management
- Control and Optimization
- Applied Mathematics
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