Aitken's delta-squared process is an algorithm which extrapolates the partial
sums 
of a series 
whose convergence
is approximately geometric and can accelerate its rate
of convergence. For 
and 
, the extrapolated partial
sum is given by
 |
Aitken's Delta-Squared Process
See also
Convergence Improvement, Euler's Series Transformation, Shanks' Transformation, Wynn's Epsilon MethodExplore with Wolfram|Alpha
References
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.; Teukolsky, S. A.; Vetterling, W. T.; and Flannery, B. P. 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 ProcessCite this as:
Weisstein, Eric W. "Aitken's Delta-Squared Process." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AitkensDelta-SquaredProcess.html