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Introduction to Semidefinite, Conic and Polynomial Optimization

In: Handbook on Semidefinite, Conic and Polynomial Optimization

Author

Listed:
  • Miguel F. Anjos

    (École Polytechnique de Montréal)

  • Jean B. Lasserre

    (LAAS-CNRS and Institute of Mathematics)

Abstract

Conic optimization refers to the problem of optimizing a linear function over the intersection of an affine space and a closed convex cone. We focus particularly on the special case where the cone is chosen as the cone of positive semidefinite matrices for which the resulting optimization problem is called a semidefinite optimization problem.

Suggested Citation

  • Miguel F. Anjos & Jean B. Lasserre, 2012. "Introduction to Semidefinite, Conic and Polynomial Optimization," 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 1-22, Springer.
    • Handle: RePEc:spr:isochp:978-1-4614-0769-0_1
    DOI: 10.1007/978-1-4614-0769-0_1
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    Cited by:

    1. Anjos, Miguel F. & Fischer, Anja & Hungerländer, Philipp, 2018. "Improved exact approaches for row layout problems with departments of equal length," European Journal of Operational Research, Elsevier, vol. 270(2), pages 514-529.

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