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Copositive Programming

In: Handbook on Semidefinite, Conic and Polynomial Optimization

Author

Listed:
  • Samuel Burer

    (University of Iowa)

Abstract

This chapter provides an introduction to copositive programming, which is linear programming over the convex conic of copositive matrices. Researchers have shown that many NP-hard optimization problems can be represented as copositive programs, and this chapter recounts and extends these results.

Suggested Citation

  • Samuel Burer, 2012. "Copositive Programming," International Series in Operations Research & Management Science, in: Miguel F. Anjos & Jean B. Lasserre (ed.), Handbook on Semidefinite, Conic and Polynomial Optimization, chapter 0, pages 201-218, Springer.
    • Handle: RePEc:spr:isochp:978-1-4614-0769-0_8
    DOI: 10.1007/978-1-4614-0769-0_8
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    Cited by:

    1. Bomze, Immanuel M. & Gabl, Markus & Maggioni, Francesca & Pflug, Georg Ch., 2022. "Two-stage stochastic standard quadratic optimization," European Journal of Operational Research, Elsevier, vol. 299(1), pages 21-34.
    2. Bomze, Immanuel M. & Gabl, Markus, 2023. "Optimization under uncertainty and risk: Quadratic and copositive approaches," European Journal of Operational Research, Elsevier, vol. 310(2), pages 449-476.

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