Abstract
Our main optimization models so far are inequality-constrained. A little thought shows our techniques are not useful for equality-constrained problems like
In this section we study such problems by linearizing the feasible region h−1(O) using the contingent cone.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Keywords
- Exact Penalization
- Contingent Cone
- Order Sufficient Condition
- Local Lipschitz Constant
- Clarke Tangent Cone
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Rights and permissions
Copyright information
© 2006 Springer Science+Business Media, Inc.
About this chapter
Cite this chapter
(2006). Karush—Kuhn—Tucker Theory. In: Convex Analysis and Nonlinear Optimization. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-31256-9_7
Download citation
DOI: https://doi.org/10.1007/978-0-387-31256-9_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-29570-1
Online ISBN: 978-0-387-31256-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)