On a Halley-Steffensen method for approximating the solutions of scalar equations
In the present paper we show that the Steffensen method for solving the scalar equation \(f\left( x\right) =0\), applied to equation \[ h\left( x\right) =\tfrac{f\left( x\right) }{\sqrt{f^{\prime}\left( x\right) }}=0, \] leads to bilateral approximations for the solution. Moreover, the convergence ...
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| Formato: | Artigo |
| Idioma: | English |
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Publishing House of the Romanian Academy
2001-02-01
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| Colecção: | Journal of Numerical Analysis and Approximation Theory |
| Acesso em linha: | https://www.ictp.acad.ro/jnaat/journal/article/view/683 |