Ball convergence for an Aitken-Newton method
We present a local convergence analysis of an eighth-order Aitken-Newton method for approximating a locally unique solution of a nonlinear equation. Earlier studies have shown convergence of these methods under hypotheses up to the eighth derivative of the function although only the first derivativ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2018-12-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/1082 |