Safe evaluation of a vector

Let us consider a VECTOR: due to numerical rounding each element of this vector represent in fact an interval. The procedure:

 
INTERVAL_VECTOR Evaluate_Coeff_Safe_Interval(int n,VECTOR &Coeff);

with:

• n: size of the vector
• Coeff: the vector

returns an INTERVAL_VECTOR guaranteed to include the true value of the elements of the vector.