New inequalities on polynomial divisors.
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JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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In this paper we present F LQ, a quadratic complexity bound on the values of the positive roots of polynomials. This bound is an extension of FirstLambda, the corresponding linear complexity bound and, consequently, it is derived from Theorem 3 below. We have implemented FLQ in the Vincent-Akritas-Strzeboński Continued Fractions method (VAS-CF) for the isolation of real roots of polynomials and compared its behavior with that of the theoretically proven best bound, LM Q. Experimental...