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Optimization problems over non-negative polynomials with interpolation constraints

Author

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  • HACHEZ, Yvan
  • NESTEROV, Yurii

Abstract

Optimization problems over several cones of non-negative polynomials are described; we focus on linear constraints on the coefficients that represent interpolation constraints. For these problems, the complexity of solving the dual formulation is shown to be almost independent of the number of constraints, provided that an appropriate preprocessing has been performed. These results are also extended to non-negative matrix polynomials and to interpolation constraints on the derivatives.

Suggested Citation

  • HACHEZ, Yvan & NESTEROV, Yurii, 2003. "Optimization problems over non-negative polynomials with interpolation constraints," LIDAM Discussion Papers CORE 2003034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2003034
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2003.html
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