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Parametrization and Reduction to Nonlinear Equations

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

Abstract

This chapter is dedicated to two different types of methods solving nonlinear complementarity problems. The first one is a method of approximate solution of nonlinear complementarity problem with parameters: Given a continuous mapping f : R n × R m R n , and a fixed vector of parameters u = (u 1, ..., u m ) T , find a xR n such that
$$ x \ge 0,\quad f(x,u) \ge 0,\quad and\quad {x^T}f(x,u) = 0 $$
(11.1)
.

Keywords

Complementarity Problem Regularization Method Linear Complementarity Problem Merit Function Nonlinear Complementarity Problem 
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 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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