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The arithogeometric mean - MaRDI portal

The arithogeometric mean (Q1262364)

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scientific article; zbMATH DE number 4123896
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English
The arithogeometric mean
scientific article; zbMATH DE number 4123896

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    The arithogeometric mean (English)
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    1989
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    The article is based upon the arithogeometric mean method of Gauss. It explains a method to compute the periods of an elliptic curve and it provides a way to compute elliptic functions. These algorithms can be used to perform very accurate machine computations. The reader, familiar with the theory of elliptic curves, gets a clear survey of the methods. The algorithms are presented in a scheme that can be implemented immediately.
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    arithogeometric mean
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    periods of an elliptic curve
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    compute elliptic functions
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    machine computations
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    algorithms
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