The Lax conjecture is true

Preprint

26 May 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0304104

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.

Keywords

HYPERBOLIC POLYNOMIALS
RECENT OBSERVATION
SYMMETRIC MATRICES
LAX CONJECTURE
VINNIKOV
HELTON

All Related Versions

Version 1, 2003-04-08, ArXiv
Version 2, 2004-05-26, ArXiv
Published version: Proceedings of the American Mathematical Society, 133 (9), 2495.

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