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Journal of Global Optimization

, Volume 2, Issue 1, pp 21–40 | Cite as

The complementary convex structure in global optimization

  • Hoang Tuy
Article

Abstract

We show the importance of exploiting the complementary convex structure for efficiently solving a wide class of specially structured nonconvex global optimization problems. Roughly speaking, a specific feature of these problems is that their nonconvex nucleus can be transformed into a complementary convex structure which can then be shifted to a subspace of much lower dimension than the original underlying space. This approach leads to quite efficient algorithms for many problems of practical interest, including linear and convex multiplicative programming problems, concave minimization problems with few nonlinear variables, bilevel linear optimization problems, etc...

Key words

Complementary convex structure Generalized Rank k Property global optimization 

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Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Hoang Tuy
    • 1
  1. 1.Institute of MathematicsHanoi

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