Optimization Models

  • G. Isac
  • V. A. Bulavsky
  • V. V. Kalashnikov
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 63)


This section deals mainly with the problem of minimization of the function f : D → R over the closed convex subset K ⊂ D. The domain D ⊂ R n , in general, may not coincide with the whole space R n . However, in order to avoid considering the boundary effects, we will always assume that D is and open set. Thus, the closed subset K is contained in the interior of D. It is traditional to consider two classes of these problems: the case of continuously diffjerentiable function f and the case of convex function f.


Lagrange Multiplier Variational Inequality Optimization Model Convex Function Linear Form 
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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • G. Isac
    • 1
  • V. A. Bulavsky
    • 2
  • V. V. Kalashnikov
    • 2
  1. 1.Department of Mathematics and Computer ScienceRoyal Military College of CanadaKingstonCanada
  2. 2.Central Economics Institute (CEMI) of Russian Academy of SciencesMoscowRussia

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