A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation
We construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2n-1 using rational interpolant. The special cases of this class are obtained. These methods do not need Newton’s iterate in the first step of their iterative schemes. Numerical computation...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2015/934260 |
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| _version_ | 1832549638384648192 |
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| author | Fiza Zafar Nusrat Yasmin Saima Akram Moin-ud-Din Junjua |
| author_facet | Fiza Zafar Nusrat Yasmin Saima Akram Moin-ud-Din Junjua |
| author_sort | Fiza Zafar |
| collection | DOAJ |
| description | We construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2n-1 using rational interpolant. The special cases of this class are obtained. These methods do not need Newton’s iterate in the
first step of their iterative schemes. Numerical computations are presented to show that the new methods are efficient and can be seen as better alternates. |
| format | Article |
| id | doaj-art-30e1f00caed94dd08d99589084c1c866 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-30e1f00caed94dd08d99589084c1c8662025-02-03T06:10:48ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/934260934260A General Class of Derivative Free Optimal Root Finding Methods Based on Rational InterpolationFiza Zafar0Nusrat Yasmin1Saima Akram2Moin-ud-Din Junjua3Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanWe construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2n-1 using rational interpolant. The special cases of this class are obtained. These methods do not need Newton’s iterate in the
first step of their iterative schemes. Numerical computations are presented to show that the new methods are efficient and can be seen as better alternates.http://dx.doi.org/10.1155/2015/934260 |
| spellingShingle | Fiza Zafar Nusrat Yasmin Saima Akram Moin-ud-Din Junjua A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation The Scientific World Journal |
| title | A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation |
| title_full | A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation |
| title_fullStr | A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation |
| title_full_unstemmed | A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation |
| title_short | A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation |
| title_sort | general class of derivative free optimal root finding methods based on rational interpolation |
| url | http://dx.doi.org/10.1155/2015/934260 |
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