De Ting Wu
Departament of Math.
830 Westview Dr. S.W.
Atlanta, GA. 30314
Phone: (404) 681-2800 Ext.2459
Newton Method is an often-used procedure to find the approximate values of the solution of an equation. Now, it is covered by most textbooks of Calculus as an application of derivative.
When using Newton Method, usually we follow 3 steps:
It should be emphasized the Step 1 is significant and difficult. Since the sequence of approximations may not coverge if the initial guess is selected blindly. And, some -time Step 2 is formidable if f(x) is complicated. Moreover, Step 3 always is a time-consuming job. However, HP-48G can help a lot when using Newton Method.
This approach is as follows:
Finally, an example is given to illustrate this approach.
Also, this approach make it easy to grade the problem of Newton Method with different initial quess.