Abstract
To find the square root of a number N to any required degree of accuracy, starting with a reasonable first approximation x0. Calculate in turn the numbers x1= 1/2 x 0 + N/x 0 ); x 2 = 1/2 (x 1 + N/x 1 ) and so on, the general relation being x n+1 = 1/2 (x n +N/x n ).
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© 1973 A. J. Moakes
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Moakes, A.J. (1973). Iterative Methods, Including Starting Procedure. In: Numerical Mathematics. Introductory Monographs in Mathematics. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-01843-7_6
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DOI: https://doi.org/10.1007/978-1-349-01843-7_6
Publisher Name: Palgrave Macmillan, London
Print ISBN: 978-0-333-14686-6
Online ISBN: 978-1-349-01843-7
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