Abstract
We introduce a new second order asymptotic function which gives information on the convexity (concavity) of the original function from its behavior at infinity. We establish several properties and calculus rules for this concept, which differs from previous notions of second order asymptotic function. Finally, we apply our new definition in order to obtain necessary and sufficient optimality conditions for quadratic programming and quadratic fractional programming.
| Original language | English |
|---|---|
| Pages (from-to) | 271-291 |
| Number of pages | 21 |
| Journal | Journal of Convex Analysis |
| Volume | 25 |
| Issue number | 1 |
| State | Published - 2018 |
Keywords
- Asymptotic cone
- Asymptotic function
- Generalized convexity
- Quadratic fractional programming
- Quadratic programming
- Second order asymptotic functions
Fingerprint
Dive into the research topics of 'Second order asymptotic functions and applications to quadratic programming'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver