Super-Halley method under majorant conditions in Banach spaces
In this paper, we have studied local convergence of Super-Halley method in Banach spaces under the assumption of second order majorant conditions. This approach allows us to obtain generalization of earlier convergence analysis under majorizing sequences. Two important special cases of the convergen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universidad de La Frontera
2020-04-01
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| Series: | Cubo |
| Subjects: | |
| Online Access: | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2256/1939 |
| Summary: | In this paper, we have studied local convergence of Super-Halley method in Banach spaces under the assumption of second order majorant conditions. This approach allows us to obtain generalization of earlier convergence analysis under majorizing sequences. Two important special cases of the convergence analysis based on the premises of Kantorovich and Smale type conditions have also been concluded. To show efficacy of our approach we have given three numerical examples. |
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| ISSN: | 0716-7776 0719-0646 |