中文

The Lax conjecture is true

最优化与控制 2007-05-23 v2

摘要

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.

引用

@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}
}

备注

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