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Parametrization and Reduction to Nonlinear Equations

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Complementarity, Equilibrium, Efficiency and Economics

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 63))

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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 x ∈ R n such that

$$ x \ge 0,\quad f(x,u) \ge 0,\quad and\quad {x^T}f(x,u) = 0 $$
((11.1))

.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada

    G. Isac

  2. Central Economics Institute (CEMI) of Russian Academy of Sciences, Moscow, Russia

    V. A. Bulavsky & V. V. Kalashnikov

Authors
  1. G. Isac
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  2. V. A. Bulavsky
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  3. V. V. Kalashnikov
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© 2002 Springer Science+Business Media Dordrecht

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Isac, G., Bulavsky, V.A., Kalashnikov, V.V. (2002). Parametrization and Reduction to Nonlinear Equations. In: Complementarity, Equilibrium, Efficiency and Economics. Nonconvex Optimization and Its Applications, vol 63. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3623-6_11

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  • DOI: https://doi.org/10.1007/978-1-4757-3623-6_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5223-3

  • Online ISBN: 978-1-4757-3623-6

  • eBook Packages: Springer Book Archive

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