A Note on an Iterative Method for Root Extraction

Gower, John (1958) A Note on an Iterative Method for Root Extraction. pp. 142-143. 10.1093/comjnl/1.3.142

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A double iterative method for evaluating y/x1/n is derived and it is shown that if −1 ⩽ yn < x < 1 then it can be arranged that all terms occurring in the iteration are also within this range. The rate of convergence is then discussed and some special cases are mentioned.

Item Type	Article
Open Access	Green
Date Deposited	05 Dec 2025 10:08
Last Modified	19 Dec 2025 14:45

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10.1093/comjnl/1.3.142 (DOI)

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Creative Commons Attribution: Available under Creative Commons: Attribution 4.0

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