Symmetric semi-algebraic sets and non-negativity of symmetric polynomials

@article{Riener2014SymmetricSS,
  title={Symmetric semi-algebraic sets and non-negativity of symmetric polynomials},
  author={C. Riener},
  journal={Journal of Pure and Applied Algebra},
  year={2014},
  volume={220},
  pages={2809-2815}
}
  • C. Riener
  • Published 2014
  • Mathematics
  • Journal of Pure and Applied Algebra
Abstract The question of how to certify the non-negativity of a polynomial function lies at the heart of Real Algebra and has important applications to optimization. Building on work by Choi, Lam, and Reznick [4] , as well as Harris [5] , Timofte [9] provided a remarkable method to efficiently certify non-negativity of symmetric polynomials. In this note we slightly generalize Timofte's statements and investigate families of polynomials that allow special representations in terms of power-sum… Expand
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