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CORR
2016
Springer

Descartes' Rule of Signs for Polynomial Systems supported on Circuits

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Descartes' Rule of Signs for Polynomial Systems supported on Circuits
We give the first 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.
Frédéric Bihan, Alicia Dickenstein
Added 01 Apr 2016
Updated 01 Apr 2016
Type Journal
Year 2016
Where CORR
Authors Frédéric Bihan, Alicia Dickenstein
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