IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Descartes' Rule of Signs for Polynomial Systems Supported on Circuits
Autor/es:
A. DICKENSTEIN; F. BIHAN
Revista:
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Editorial:
OXFORD UNIV PRESS
Referencias:
Lugar: Oxford; Año: 2017 p. 6867 - 6893
ISSN:
1073-7928
Resumen:
We give a multivariate version of Descartes´ rule of signs to bound the number of positive real roots of a system of polynomial equations in n variables with n+2 monomials, in terms of the sign variation of a sequence associated both to the exponent vectors and the given coefficients. We show that our bound is sharp and is related to the signature of the circuit.
