The generalized Richardson extrapolation process GREP\(^{(1)}\) and computation of derivatives of limits of sequences with applications to the \(d^{(1)}\)-transformation (Q1590786)
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scientific article; zbMATH DE number 1548085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The generalized Richardson extrapolation process GREP\(^{(1)}\) and computation of derivatives of limits of sequences with applications to the \(d^{(1)}\)-transformation |
scientific article; zbMATH DE number 1548085 |
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The generalized Richardson extrapolation process GREP\(^{(1)}\) and computation of derivatives of limits of sequences with applications to the \(d^{(1)}\)-transformation (English)
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8 May 2001
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The author proposes the direct differentiation of recursion relations of the extrapolation method used in approximating the limit of an infinite sequence. Also, he generalizes the Richardson extrapolation process and to compute of derivatives of limits of sequences with applications to the \(d(1)\)-transformation of \textit{D. Levin} and \textit{A. Sidi} [Appl. Math. Comput. 9, 175-215 (1981; Zbl 0487.65003)].
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Richardson extrapolation
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derivatives of limits of sequences
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\(d(1)\)-transformation
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0.8802747
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0.8747537
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0.8720595
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0.8594738
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0.85257524
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0.85008425
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0.8444232
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