The Lax conjecture is true
Optimization and Control
2007-05-23 v2
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.
Cite
@article{arxiv.math/0304104,
title = {The Lax conjecture is true},
author = {Adrian S. Lewis and Pablo A. Parrilo and Motakuri V. Ramana},
journal= {arXiv preprint arXiv:math/0304104},
year = {2007}
}
Comments
7 pages, Proceedings to the AMS, to appear. Added background material