Karush-Kuhn-Tucker Theory

  • Jonathan M. Borwein
  • Adrian S. Lewis
Part of the CMS Books in Mathematics / Ouvrages de mathématiques de la SMC book series (CMSBM)


Our main optimization models so far are inequality-constrained. A little thought shows our techniques are not useful for equality-constrained problems like
$$ \inf \left\{ {f\left( x \right)|h\left( x \right) = 0} \right\}. $$


Order Condition Exact Penalization Critical Cone Order Optimality Condition Contingent 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.


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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Jonathan M. Borwein
    • 1
  • Adrian S. Lewis
    • 2
  1. 1.Centre for Experimental and Constructive Mathematics, Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada
  2. 2.Department of Combinatorics and OptimizationUniversity of WaterlooWaterlooCanada

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