In this section we show how a computer algebra package like MAPLE can be used to generate p-th order iterations that converge to from the functions . For a fixed initial value and a fixed p we define the sequence by

 

Of course, as it stands, although it is clear that converges to to p-th order, it is not very practical. The idea is to write the sequence recursively. Therefore there are two problems to solve:
  1. Find initial values .
  2. Get in terms of .
Table 1 contains some functions we defined in MAPLE and that we used to find and prove initial values and iterations.
Annotation Form Interface

          Your name: 
     E-Mail address: 
 Annotation Subject: 
        Related URL: