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Reference.org
Aitken's delta-squared process
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<p>In <a href="/facts/Numerical_analysis/QT9cYa9z">numerical analysis</a>, Aitken's delta-squared process or Aitken extrapolation is a <a href="/facts/Series_acceleration/XmWMXVFh">series acceleration</a> method used for accelerating the <a href="/facts/Rate_of_convergence/JVGuzPoS">rate of convergence</a> of a sequence. It is named after <a href="/facts/Alexander_Aitken/UbhEranD">Alexander Aitken</a>, who introduced this method in 1926. It is most useful for accelerating the convergence of a sequence that is converging linearly. A precursor form was known to <a href="/facts/Seki_K%25C5%258Dwa/pLD8pLIM">Seki Kōwa</a> (1642 – 1708) and applied to the rectification of the circle, i.e., to the calculation of π. </p>