A simultaneous process for convergence acceleration and error control (Q751747)
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scientific article; zbMATH DE number 4178622
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simultaneous process for convergence acceleration and error control |
scientific article; zbMATH DE number 4178622 |
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A simultaneous process for convergence acceleration and error control (English)
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1990
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The author proposes a process for controlling the error in convergence acceleration methods. He uses two transformations: Aitken's \(\Delta^ 2\) process and Brezinski's \(\theta_ 2\) algorithm, which provide a sequence of intervals asymptotically containing the limit of the given real sequence. Some numerical examples are studied.
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error control
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asymptotic expansion
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Aitken's delta square method
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Brezinski's theta-two algorithm
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convergence acceleration
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numerical examples
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