Prediction properties of Aitken's iterated Δ2 process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm

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Prediction Properties of Aitken’s Iterated ∆ Process, of Wynn’s Epsilon Algorithm, and of Brezinski’s Iterated Theta Algorithm

The prediction properties of Aitken’s iterated ∆ process, Wynn’s epsilon algorithm, and Brezinski’s iterated theta algorithm for (formal) power series are analyzed. As a first step, the defining recursive schemes of these transformations are suitably rearranged in order to permit the derivation of accuracy-through-order relationships. On the basis of these relationships, the rational approximan...

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2000

ISSN: 0377-0427

DOI: 10.1016/s0377-0427(00)00363-0