Math-305, Numerical Methods & Matrices
Newton's Method to Approximate a Zero of a Function

Dr. K. G. TeBeest



         Newton's Method to Approximate a Zero of

                 f(x) = exp(-x) - cos(x)

         Starting Value:      x0 = 2.5


     Iter#          x                | f(x) |
    ************************************************
       1     0.789599921490     2.501030512353e-01
       2     1.766392435468     3.652998973351e-01
       3     1.315395667209     1.573502581232e-02

    This shows only the results of the first three iterations.
NOTE: Because of truncation error, the values of x and function f could differ in the last decimal place.


Return to Section 1.3 assignment

Return to course web site