BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-79-719 ENTRY:: June 19, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Extrapolation of asymptotic expansions by a modified Aitken $\delta^2$-formula TYPE:: Technical Report AUTHOR:: Bjorstad, Petter AUTHOR:: Dahlquist, Germund AUTHOR:: Grosse, Eric H. DATE:: March 1979 PAGES:: 56 ABSTRACT:: A modified Aitken formula permits iterated extrapolations to efficiently estimate $s_\infty$ from $s_n$ when an asymptotic expansion $s_n = s_\infty + n^{-k} (c_0 + c_1 n^{-1} + c_2 n^{-2} + ... )$ holds for some (unknown) coefficients $c_j$. We study the truncation and irregular error and compare the method with other forms of extrapolation. NOTES:: [Adminitrivia V1/Prg/19950619] END:: STAN//CS-TR-79-719