Suppose that p is a root of order
![[Graphics:Images/NewtonImprovedMod_gr_50.gif]](../Images/NewtonImprovedMod_gr_50.gif){kind=small}
. Then the modified Newton-Raphson formula
is: (10)
![[Graphics:Images/NewtonImprovedMod_gr_51.gif]](../Images/NewtonImprovedMod_gr_51.gif){kind=small}
Method
B. Modified Newton-Raphson
Suppose that p is a
root of order
. Then the modified Newton-Raphson formula
is:
(10)
Derivation
![[Graphics:../Images/NewtonImprovedMod_gr_52.gif]](../Images/NewtonImprovedMod_gr_52.gif)
![[Graphics:../Images/NewtonImprovedMod_gr_53.gif]](../Images/NewtonImprovedMod_gr_53.gif)
(c) John H. Mathews 2004