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Foundations of Set-Semidefinite Optimization

In: Nonlinear Analysis and Variational Problems

Author

Listed:
  • Gabriele Eichfelder

    (Universität Erlangen-Nürnberg)

  • Johannes Jahn

    (Universität Erlangen-Nürnberg)

Abstract

In this paper, we present various foundations of a new field of research in optimization unifying semidefinite and copositive programming, which is called set-semidefinite optimization. A set-semidefinite optimization problem is a vector optimization problem with a special constraint defined by a so-called set-semidefinite ordering cone. The investigations of this chapter are based on the paper [11].

Suggested Citation

  • Gabriele Eichfelder & Johannes Jahn, 2010. "Foundations of Set-Semidefinite Optimization," Springer Optimization and Its Applications, in: Panos M. Pardalos & Themistocles M. Rassias & Akhtar A. Khan (ed.), Nonlinear Analysis and Variational Problems, chapter 0, pages 259-284, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-0158-3_18
    DOI: 10.1007/978-1-4419-0158-3_18
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    Cited by:

    1. Peter J. C. Dickinson & Janez Povh, 2013. "Moment Approximations for Set-Semidefinite Polynomials," Journal of Optimization Theory and Applications, Springer, vol. 159(1), pages 57-68, October.

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