Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
401807 | Journal of Symbolic Computation | 2010 | 7 Pages |
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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