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Resumen de Faster algorithms for computing Hong's bound on absolute positiveness

Kurt Mehlohorn, Saurabh Ray

  • We show how to compute Hong�s bound for the absolute positiveness of a polynomial in d variables with maximum degree d 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 d.


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