On two sequences of algorithms for approximating square roots (Q1196844)
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scientific article; zbMATH DE number 89602
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two sequences of algorithms for approximating square roots |
scientific article; zbMATH DE number 89602 |
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On two sequences of algorithms for approximating square roots (English)
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16 January 1993
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Two sequences of iterative methods for approximating the square root \(\sqrt{N}\) are derived by using a continued fraction expansion. The convergence of the algorithms is proved. It is also shown that algorithms of arbitrary order can be constructed for the approximation of \(\sqrt N\).
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iterative methods
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square root
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continued fraction expansion
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convergence
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