The Lax conjecture is true

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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.
7 pages, Proceedings to the AMS, to appear. Added background material

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Optimization and Control, 15A45; 90C25; 52A41

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http://salesiana.dossiersoluciones.com/handle/123456789/95173

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304104
 http://arxiv.org/abs/math/0304104
 Proceedings of the AMS, Vol. 133, pp. 2495-2499, 2005.
 doi:10.1090/S0002-9939-05-07752-X

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arXiv