INT Descartes_Lemma_Interval(int Degree,VECTOR &Coeff)with:

`Degree`: degree of the polynomial`Coeff`: the`Degree+1`coefficients of the polynomial in increasing degree

There is an implementation of this method for interval polynomial. Here it is necessary to introduce an additional parameter to indicate the confidence we have in the result. The procedure is implemented as:

INT Descartes_Lemma_Interval(int Degree,INTERVAL_VECTOR &Coeff,int *Confidence);

- 1: the result is exact, for all polynomials in the set the number of positive real roots is
- : the number of positive real roots for all the polynomials in the set is

INT Descartes_Lemma_Negative_Interval(int Degree,VECTOR &Coeff) INT Descartes_Lemma_Negative_Interval(int Degree,INTERVAL_VECTOR &Coeff,int *Confidence)

Jean-Pierre Merlet 2012-12-20