Calculating the square root with arbitrary order of convergence

In this paper an iterative algorithm has been presented for calculating the square root of a real number with arbitrary order of convergence using formulae derived by applying binomial theorem. The primary objective is to reduce the number of division operations required.

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Bibliographic Details
Published inInternational journal of computer mathematics Vol. 75; no. 3; pp. 297 - 302
Main Authors Chowdhury, Rezaul Alam, Kaykobad, M.
Format Journal Article
LanguageEnglish
Published Abingdon Gordon and Breach Science Publishers 01.01.2000
Taylor and Francis
Subjects
Belaga parameters
convergence
division
error
Error analysis
Exact sciences and technology
G.1.0
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
polynomial
Sciences and techniques of general use
Square root
Error estimation
Square root
Numerical method
Belaga parameter
Algorithm
Newton Raphson method
Complexity
Convergence
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Summary:In this paper an iterative algorithm has been presented for calculating the square root of a real number with arbitrary order of convergence using formulae derived by applying binomial theorem. The primary objective is to reduce the number of division operations required.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160008804985