A Class of Steffensen-Type Iterative Methods for Nonlinear Systems
A class of iterative methods without restriction on the computation of Fréchet derivatives including multisteps for solving systems of nonlinear equations is presented. By considering a frozen Jacobian, we provide a class of m-step methods with order of convergence m+1. A new method named as Steffen...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/705375 |
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| _version_ | 1832555121449369600 |
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| author | F. Soleymani M. Sharifi S. Shateyi F. Khaksar Haghani |
| author_facet | F. Soleymani M. Sharifi S. Shateyi F. Khaksar Haghani |
| author_sort | F. Soleymani |
| collection | DOAJ |
| description | A class of iterative methods without restriction on the computation of Fréchet derivatives including multisteps for solving systems of nonlinear equations is presented. By considering a frozen Jacobian, we provide a class of m-step methods with order of convergence m+1. A new method named as Steffensen-Schulz scheme is also contributed. Numerical tests and comparisons with the existing methods are included. |
| format | Article |
| id | doaj-art-99da8b3c616c4126b612fc3d7effde99 |
| 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-99da8b3c616c4126b612fc3d7effde992025-02-03T05:49:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/705375705375A Class of Steffensen-Type Iterative Methods for Nonlinear SystemsF. Soleymani0M. Sharifi1S. Shateyi2F. Khaksar Haghani3Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranDepartment of Mathematics, University of Venda, Private Bag Box X5050, Thohoyandou 0950, South AfricaDepartment of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, IranA class of iterative methods without restriction on the computation of Fréchet derivatives including multisteps for solving systems of nonlinear equations is presented. By considering a frozen Jacobian, we provide a class of m-step methods with order of convergence m+1. A new method named as Steffensen-Schulz scheme is also contributed. Numerical tests and comparisons with the existing methods are included.http://dx.doi.org/10.1155/2014/705375 |
| spellingShingle | F. Soleymani M. Sharifi S. Shateyi F. Khaksar Haghani A Class of Steffensen-Type Iterative Methods for Nonlinear Systems Journal of Applied Mathematics |
| title | A Class of Steffensen-Type Iterative Methods for Nonlinear Systems |
| title_full | A Class of Steffensen-Type Iterative Methods for Nonlinear Systems |
| title_fullStr | A Class of Steffensen-Type Iterative Methods for Nonlinear Systems |
| title_full_unstemmed | A Class of Steffensen-Type Iterative Methods for Nonlinear Systems |
| title_short | A Class of Steffensen-Type Iterative Methods for Nonlinear Systems |
| title_sort | class of steffensen type iterative methods for nonlinear systems |
| url | http://dx.doi.org/10.1155/2014/705375 |
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