Aitken-Steffensen type methods for nondifferentiable functions (I)
We study the convergence of the Aitken-Steffensen method for solving a scalar equation \(f(x)=0\). Under reasonable conditions (without assuming the differentiability of \(f\)) we construct some auxilliary functions used in these iterations, which generate bilateral sequences approximating the solut...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2002-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/713 |