The lax conjecture is true

@article{Lewis2005TheLC,
  title={The lax conjecture is true},
  author={Adrian S. Lewis and Pablo A. Parrilo and Motakuri V. Ramana},
  journal={arXiv: Optimization and Control},
  year={2005},
  volume={133},
  pages={2495-2499}
}
In 1958 Lax conjectured that hyperbolic polynomials in three variables are determinants of linear combinations of three symmetric matrices. This conjecture is equivalent to a recent observation of Helton and Vinnikov. 
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