![% latex2html id marker 3603
$ \therefore$](img230.png)
Newton Raphson Method is said to have quadratic
convergence.
Note:
Alternatively, one can also prove the quadratic convergence of
Newton-Raphson method based on the fixed - point theory. It is
worth stating few comments on this approach as it is a more
general approach covering most of the iteration schemes discussed
earlier.
A Brief discussion on Fixed Point Iteration:
Suppose that we are given a function
![$ f(x)=0\qquad\qquad\qquad \,\,\,(i)$](img231.png)
on an interval
![$ [a,b]$](img37.png)
for which we need to find a root. Derive ,
from it, an equation of the form: