With the stuff I've seen in the literature of sequence transformations, I've started to love the formulae for Aitken's Δ² process:
$S_n^{prime}=S_{n+1}-frac{(Delta S_n)^2}{Delta^2 S_n}$
and its generalization the Wynn ε algorithm:
$varepsilon_{k+1}^{(n)}=varepsilon_{k-1}^{(n+1)}+frac1{varepsilon_{k}^{(n+1)}-varepsilon_{k}^{(n)}}$
for the latter one especially because it is nicely represented as a lozenge diagram:
No comments:
Post a Comment