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Extrapolation of sequences using a generalized epsilon-algorithm

Published online by Cambridge University Press:  17 February 2009

Michael N. Barber  and
C. J. Hamer
Michael N. Barber
Affiliation:
Department of Applied Mathematics, University of New South Wales, P. O. Box 1, Kensington, N.S.W. 2033
C. J. Hamer
Affiliation:
Department of Theoretical Physics, Research School of Physical Sciences, Australian National University, Canberra, A.C.T. 2600
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Abstract

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The problem of estimating the limit f∞ of a sequence fn converging as fn − f∞ = O(n−λ) as n → ∞, where λ > 0, is discussed. Using the generalization of the ε-algorithm proposed recently by Vanden Broeck and Schwartz, an acceleration scheme is developed. The method is illustrated on several test sequences and compared to other acceleration procedures.

Type
Research Article
Information
The ANZIAM Journal , Volume 23 , Issue 3 , January 1982 , pp. 229 - 240
Copyright
Copyright © Australian Mathematical Society 1982

References

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