Positive polynomials and hyperdeterminants
- Autores: Fernando Cukierman
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 58, Fasc. 3, 2007, págs. 279-289
- Idioma: español
- Enlaces
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Resumen
Let F be a homogeneous real polynomial of even degree in any number of variables.
We consider the problem of giving explicit conditions on the coefficients so that F is positive definite or positive semidefinite.
In this note we produce a necessary condition for positivity, and a sufficient condition for nonnegativity, in terms of positivity or semipositivity of a onevariable characteristic polynomial of F. Also, we revisit the known sufficient condition in terms of Hankel matrices.
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