Approximation error and error accumulation for the Landen transform (Q1371161)
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scientific article; zbMATH DE number 1080429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation error and error accumulation for the Landen transform |
scientific article; zbMATH DE number 1080429 |
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Approximation error and error accumulation for the Landen transform (English)
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6 May 1998
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This paper contains a priori error bounds for the approximation error and error accumulation of the descending Landen transform. These results apply to an incomplete elliptic integral of the first kind and give the framework to calculate error bounds in the representation of Jacobi's zeta- and theta-function. Numerical examples and the comparisons of their algorithm are also given.in this paper.
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numerical examples
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error bounds
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Landen transform
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incomplete elliptic integral
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Jacobi's zeta- and theta-function
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comparisons
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algorithm
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