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The rate of convergence may be estimated from equation (31).
It can be rewritten
| |
(32) |

Because
| |
(33) |

we can obtain this estimate of the number of iterations:
| |
(34) |

where is the required precision.
The number of iterations estimated from equation (34) is
higher than the real number of iterations needed to achieve the desired
precision.
For a low number of iterations (up to about 10), inequality (34)
gives a good estimate of the actual number of iterations.
Curves of the numbers of iterations required to achieve particular precisions are shown
on Figure c.
These curves are not computed from equation (34), but they are
the numbers of iterations really needed to achieve the required precision.

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Stanford Exploration Project

1/13/1998