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Ridder method is an iterative scheme used to obtain one root of the
equation within an interval . It assumes that
. Let be the mid-point of the interval
. A new estimate of the root is with:

under the assumption
it may be seen that is
guaranteed to lie within the interval . As soon as as
been determined we choose as new the interval
if
or if
. The convergence
of this algorithm is quadratic.

Jean-Pierre Merlet
2012-12-20