The Lax conjecture is true

Preprint

8 April 2003

preprint
Published by arXiv in arXiv

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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