The Lax Conjecture Is True

@inproceedings{Lewis2003TheLC,
  title={The Lax Conjecture Is True},
  author={Seth Lewis and Pablo A. Parrilo and Motakuri V. Ramana},
  year={2003}
}
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. Consider a polynomial p on R of degree d (the maximum of the degrees of the monomials in the expansion of p). We call p homogeneous if p(tw) = tp(w) for all real t and vectors w ∈ R: equivalently, every monomial in the expansion of p has degree d. We denote the set of such… CONTINUE READING
Highly Cited
This paper has 96 citations. REVIEW CITATIONS

Topics

Statistics

051015'03'05'07'09'11'13'15'17
Citations per Year

96 Citations

Semantic Scholar estimates that this publication has 96 citations based on the available data.

See our FAQ for additional information.