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Implementation 

 
int Cauchy_Third_Bound_Interval(int Degree,INTERVAL_VECTOR &Coeff,INTERVAL &Bound)
Coeff[1] cannot be 0. The procedure: 
 
int Cauchy_All_Bound_Interval(int Degree,INTERVAL_VECTOR &Coeff,
                             INTERVAL &Bound)
will return the result of a successive application of the first and third Cauchy bounds.


Jean-Pierre Merlet 2012-12-20