期刊
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 133, 期 9, 页码 2495-2499出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-05-07752-X
关键词
hyperbolic polynomial; Lax conjecture; hyperbolicity cone; semidefinite representable
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.
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