On the convergence order of some Aitken-Steffensen type methods
In this note we make a comparative study of the convergence orders for the Steffensen, Aitken and Aitken-Steffensen methods. We provide some conditions ensuring their local convergence. We study the case when the auxiliary operators used have convergence orders \(r_{1},r_{2}\in \mathbb{N}\) respecti...
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Format: | Article |
Language: | English |
Published: |
Publishing House of the Romanian Academy
2003-08-01
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Series: | Journal of Numerical Analysis and Approximation Theory |
Subjects: | |
Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/748 |
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On the convergence order of some Aitken-Steffensen type methods
Published 2003-08-01
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