Multipoint Iterative Methods for Finding All the Simple Zeros in an Interval
Two new families of multipoint without memory iterative methods with eighth- and sixteenth-orders are constructed using the symbolic software Mathematica. The key idea in constructing such methods is based on producing some generic suitable functions to reduce the functional evaluations and increase...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/601205 |
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| _version_ | 1849304568437932032 |
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| author | T. Lotfi F. Soleymani S. Sharifi S. Shateyi F. Khaksar Haghani |
| author_facet | T. Lotfi F. Soleymani S. Sharifi S. Shateyi F. Khaksar Haghani |
| author_sort | T. Lotfi |
| collection | DOAJ |
| description | Two new families of multipoint without memory iterative methods with eighth- and sixteenth-orders are constructed using the symbolic software Mathematica. The key idea in constructing such methods is based on producing some generic suitable functions to reduce the functional evaluations and increase the order of convergence along the computational efficiency. Again by applying Mathematica, we design a hybrid algorithm to capture all the simple real solutions of nonlinear equations in an interval. The application of the new schemes in producing fractal pictures is also furnished. |
| format | Article |
| id | doaj-art-3e39babbc7a8485ea91a22aad8b6b5ae |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3e39babbc7a8485ea91a22aad8b6b5ae2025-08-20T03:55:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/601205601205Multipoint Iterative Methods for Finding All the Simple Zeros in an IntervalT. Lotfi0F. Soleymani1S. Sharifi2S. Shateyi3F. Khaksar Haghani4Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, IranDepartment of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, IranDepartment of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, IranDepartment of Mathematics and Applied Mathematics, School of Mathematical and Natural Sciences, University of Venda, P. Bag X5050, Thohoyandou 0950, South AfricaDepartment of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, IranTwo new families of multipoint without memory iterative methods with eighth- and sixteenth-orders are constructed using the symbolic software Mathematica. The key idea in constructing such methods is based on producing some generic suitable functions to reduce the functional evaluations and increase the order of convergence along the computational efficiency. Again by applying Mathematica, we design a hybrid algorithm to capture all the simple real solutions of nonlinear equations in an interval. The application of the new schemes in producing fractal pictures is also furnished.http://dx.doi.org/10.1155/2014/601205 |
| spellingShingle | T. Lotfi F. Soleymani S. Sharifi S. Shateyi F. Khaksar Haghani Multipoint Iterative Methods for Finding All the Simple Zeros in an Interval Journal of Applied Mathematics |
| title | Multipoint Iterative Methods for Finding All the Simple Zeros in an Interval |
| title_full | Multipoint Iterative Methods for Finding All the Simple Zeros in an Interval |
| title_fullStr | Multipoint Iterative Methods for Finding All the Simple Zeros in an Interval |
| title_full_unstemmed | Multipoint Iterative Methods for Finding All the Simple Zeros in an Interval |
| title_short | Multipoint Iterative Methods for Finding All the Simple Zeros in an Interval |
| title_sort | multipoint iterative methods for finding all the simple zeros in an interval |
| url | http://dx.doi.org/10.1155/2014/601205 |
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