Aitken's Delta-Squared Process

An algorithm which extrapolates the partial sums s_n of a series sum_(n)a_n whose convergence is approximately geometric and accelerates its rate of convergence. The extrapolated partial sum is given by


See also

Euler's Series Transformation

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Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 18, 1972.Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, p. 160, 1992.

Referenced on Wolfram|Alpha

Aitken's Delta-Squared Process

Cite this as:

Weisstein, Eric W. "Aitken's Delta-Squared Process." From MathWorld--A Wolfram Web Resource.

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