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In my opinion, it is misleading to redirect "Acceleration of convergence" to "Series acceleration". The reason is that there are many convergence acceleration issues that have nothing to do with series. Think of iteration sequences, of
Romberg integration and, more generally, slowly converging
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There's a method (or rather, a collection of methods), due to Cohen, Rodriguez
Villegas and Zagier, which beats the Euler-type methods by quite a way. I don't have the reference to hand, but can find it without too much difficulty. It's worth a mention, for its use with alternating series!
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sequences. Also, thinking not only of sequence numbers but of other objects like sequence of vectors, of matrices, of operators makes sense in the "Acceleration of convergence" context that is valid for objects living in spaces where you can talk about convergence.
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Therefore, I propose to replace the redirection by a separate page for "Acceleration of convergence" and include links the present page. I remark that the latter was in large parts copied from an old version of "sequence transformation".
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Villegas and Zagier are number theorists; is this a paper on series acceleration for special functions/hypergeometric series, or is it a numerical methods paper?
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Is there any references to the connection between conformal maps & series acceleration? It would be interesting having some pointers in this direction.
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I am merging to sequence transformations. That is a more substantial article, and series acceleration is a special case.
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Knowledge. If you would like to participate, please visit the project page, where you can join
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Erroneous redirection of "Acceleration of convergence" to "Series acceleration"
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Found it, at: Experiment. Math. 9, iss. 1 (2000), 3–12.
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