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Sign conditions for the existence of at least one positive solution of a sparse polynomial system

By Frédéric Bihan and others
We give sign conditions on the support and coefficients of a sparse system of d generalized polynomials in d variables that guarantee the existence of at least one positive real root, based on degree theory and Gale duality. In the case of integer exponents, we relate our sufficient conditions to... Show more
September 14, 2020
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Sign conditions for the existence of at least one positive solution of a sparse polynomial system
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