Effective High-Order Iterative Methods via the Asymptotic Form of the Taylor-Lagrange Remainder
| Autor: | Isaac Fried |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Journal of Applied Mathematics, Vol 2014 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1110-757X 1687-0042 |
| DOI: | 10.1155/2014/108976 |
| Popis: | The asymptotic form of the Taylor-Lagrange remainder is used to derive some new, efficient, high-order methods to iteratively locate the root, simple or multiple, of a nonlinear function. Also derived are superquadratic methods that converge contrarily and superlinear and supercubic methods that converge alternatingly, enabling us not only to approach, but also to bracket the root. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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