The Lax conjecture is true

Mathematics – Optimization and Control

Scientific paper

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

Scientific paper

10.1090/S0002-9939-05-07752-X

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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