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.
Remarks on the Lax conjecture for hyperbolic polynomials / O.Liess. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 430:(2009), pp. 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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