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Algorithms of Quasidifferentiable Optimization for the Separation of Point Sets

In: Optimization and Optimal Control

Author

Listed:
  • Bernd Luderer

    (Chemnitz University of Technology)

  • Denny Wagner

    (Capgemini)

Abstract

Summary An algorithm for finding the intersection of the convex hulls of two sets consisting of finitely many points each is proposed. The problem is modelled by means of a quasidifferentiable (in the sense of Demyanov and Rubinov) optimization problem, which is solved by a descent method for quasidifferentiable functions.

Suggested Citation

  • Bernd Luderer & Denny Wagner, 2010. "Algorithms of Quasidifferentiable Optimization for the Separation of Point Sets," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Rentsen Enkhbat & Ider Tseveendorj (ed.), Optimization and Optimal Control, pages 157-167, Springer.
  • Handle: RePEc:spr:spochp:978-0-387-89496-6_8
    DOI: 10.1007/978-0-387-89496-6_8
    as

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