The Lax conjecture is true

  • Lewis A
  • Parrilo P
  • Ramana M
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Abstract

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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Lewis, A. S., Parrilo, P. A., & Ramana, M. V. (2005). The Lax conjecture is true. Proceedings of the American Mathematical Society, 133(9), 2495–2499. https://doi.org/10.1090/s0002-9939-05-07752-x

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