Convergence ball and error analysis of Ostrowski-Traub’s method
Under the hypotheses that the second-order and third-order derivatives of a function are bounded, an estimate of the radius of the convergence ball of Ostrowski-Traub’s method is obtained. An error analysis is given which matches the convergence order of the method. Finally, two examples are provide...
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| Veröffentlicht in: | Applied Mathematics-A Journal of Chinese Universities 2010-09, Vol.25 (3), p.374-378 |
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| container_end_page | 378 |
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| container_issue | 3 |
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| container_title | Applied Mathematics-A Journal of Chinese Universities |
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| creator | Bi, Wei-hong Wu, Qing-biao Ren, Hong-min |
| description | Under the hypotheses that the second-order and third-order derivatives of a function are bounded, an estimate of the radius of the convergence ball of Ostrowski-Traub’s method is obtained. An error analysis is given which matches the convergence order of the method. Finally, two examples are provided to show applications of our theorem. |
| doi_str_mv | 10.1007/s11766-010-2447-y |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 1005-1031 |
| ispartof | Applied Mathematics-A Journal of Chinese Universities, 2010-09, Vol.25 (3), p.374-378 |
| issn | 1005-1031 1993-0445 |
| language | eng |
| recordid | cdi_wanfang_journals_gxyysxxb_e201003014 |
| source | SpringerNature Journals; Alma/SFX Local Collection |
| subjects | Applications of Mathematics Mathematics Mathematics and Statistics |
| title | Convergence ball and error analysis of Ostrowski-Traub’s method |
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