Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

On a Procrustean technique for the numerical transformation of slowly convergent sequences and series

P. Wynna1

a1 Scientific Computing Service, Ltd., 23 Bedford Square, London, W.C. 1

1.The study of the numerical transformation of slowly convergent series and sequences permits of a certain unity of approach, since the partial sums of the former may be regarded as members of a slowly convergent sequence, while the differences of the latter may be treated as terms in a slowly convergent series. In the ensuing discussion, no essential distinction between the two problems is made, and methods devised for one relate with equal facility to the other.

(Received October 31 1955)