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The Computer Journal 1958 1(3):142-143; doi:10.1093/comjnl/1.3.142
© 1958 by British Computer Society
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A Note on an Iterative Method for Root Extraction

J. C. Gower

Rothampstead Experimental Station, Harpenden, UK

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.


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