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About Aitken's delta-squared process
In numerical analysis, Aitken's delta-squared process or Aitken extrapolation is a series acceleration method used for accelerating the rate of convergence of a sequence. It is named after Alexander Aitken, who introduced this method in 1926 as part of an extension to Bernoulli's method. It is most useful for accelerating the convergence of a sequence that is converging linearly. A precursor form was known to Seki Kōwa and applied to the rectification of the circle, i.e., to the calculation of π.
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