f(x;)f' f(x)/f'(x) of f(x) = = + =

These results and the results of subsequent iterations required to achieve the convergence tolerance, l&i+ll:::: 0.000001, are summarized in Table 3.11.

Newton's basic method required 20 iterations, while the two other methods required only four iterations each. The advantage of these two methods over the basic method for repeated roots is obvious.