ABSTRACT
This chapter deals with prediction/extrapolation for resolution improvement. The sequence from the Shanks transform converges to its anti-limit per analytical continuation even if all the transients are exploding. Then the Shanks transform induces/forces convergence of divergent sequences. The Shanks transform can interpolate (n < N) and extrapolate (n > N) via a polynomial quotient P/Q. The predictive power of the Shanks transform is in extrapolating {cn} beyond N, i.e. in drawing inferences on the hypothetical infinite signal {cn} (0 ≤ n ≤ ∞) from an available finite subset {cn} (0 ≤ n ≤ N - 1) for N < ∞.
