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Upon A Second Confluent Form of the Ɛ-Algorithm

Published online by Cambridge University Press:  18 May 2009

P. Wynn
Affiliation:
Mathematisch Centrum Amsterdam
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In two previous papers [1], [2] the confluent form

of the δ-algorithm [3]

was established, and various properties which the confluent form of the algorithm possesses were discussed. It was shown, among other things, that if in (1)

and the notation

is used, then (1) is satisfied by

and further that under certain conditions, and for a certain n,

identically. It is the purpose of this note to derive another confluent form of the Ɛ-algorithm and to discuss its properties.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1962

References

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