A conjecture of P.Lax (in pde and matrix theory) says that every hyperbolic polynomial in two space variables is the determinant of a symmetric hyperbolic matrix. The conjecture has recently been proven by Lewis-Parillo-Ramana. In this paper we prove related results in several space variables for polynomials which have rotational symmetry.
O.Liess (2009). Remarks on the Lax conjecture for hyperbolic polynomials. LINEAR ALGEBRA AND ITS APPLICATIONS, 430, 2123-2132 [10.1016/j.laa.2008.11.017].
Remarks on the Lax conjecture for hyperbolic polynomials
LIESS, OTTO EDWIN
2009
Abstract
A conjecture of P.Lax (in pde and matrix theory) says that every hyperbolic polynomial in two space variables is the determinant of a symmetric hyperbolic matrix. The conjecture has recently been proven by Lewis-Parillo-Ramana. In this paper we prove related results in several space variables for polynomials which have rotational symmetry.File in questo prodotto:
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