Article ID Journal Published Year Pages File Type
401807 Journal of Symbolic Computation 2010 7 Pages PDF
Abstract

We show how to compute Hong’s bound for the absolute positiveness of a polynomial in d variables with maximum degree δ in O(nlogdn) time, where n is the number of non-zero coefficients. For the univariate case, we give a linear time algorithm. As a consequence, the time bounds for the continued fraction algorithm for real root isolation improve by a factor of δ.

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