High order iterative methods for approximating square roots
β Scribed by B. Kalantari; I. Kalantari
- Publisher
- Springer Netherlands
- Year
- 1996
- Tongue
- English
- Weight
- 210 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0006-3835
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π SIMILAR VOLUMES
We apply a family of iterative methods to the problem of extracting the \(n\)th root of a positive number \(R\), that is, to solve the nonlinear equation \(t^{n}-R=0\). For each value of \(n\) we obtain the method in the family for which the highest order of convergence is reached.
A uniparametric family of three-step eighth-order multipoint iterative methods requiring only a first derivative are proposed in this paper to find simple roots of nonlinear equations. Development and convergence analysis on the proposed methods is described along with numerical experiments includin
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