Example

The procedure:

 
Coeff(1)= -3;Coeff(2)=2;Coeff(3)=-1;Coeff(4)=1;
Num=Laguerre_Bound_Interval(3,Coeff,0.1,50,Bound);
Coeff_App(1)= INTERVAL(-3.1,-2.9);Coeff_App(2)=INTERVAL(1.9,2.1);
Coeff_App(3)=INTERVAL(-1.1,-0.9);Coeff_App(4)=INTERVAL(0.9,1.1);
Num=Laguerre_Bound_Interval(3,Coeff_App,0.1,50,Lower,Upper);

leads to Bound=[1.15385,1.3], Lower=[1.08209,1.40271], Upper=[1.21818,1.52222].