Abstract
We show that the Steffensen method for solving the scalar equation \(f(x)=0\), applied to equation \(h(x)=\frac{f(x)}{\sqrt{f'(x)}}=0\), leads to bilateral approximations for the solution. Moreover, the convergence order is at least 3, i.e. as in the case of the Halley method.
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Keywords
nonlinear equations in R; Steffensen method; Halley method; monotone iterations.
References
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Cite this paper as:
I. Păvăloiu, On a Halley-Steffensen method for approximating the solutions of scalar equations, Rev. Anal. Numér. Théor. Approx., 30 (2001) no. 1, pp. 69-74.
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Print ISSN
1222-9024
Online ISSN
2457-8126