On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations
This paper focuses on solving systems of nonlinear equations numerically. We propose an efficient iterative scheme including two steps and fourth order of convergence. The proposed method does not require the evaluation of second or higher order Frechet derivatives per iteration to proceed and reach...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/165452 |
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| _version_ | 1832556230865846272 |
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| author | Diyashvir K. R. Babajee Alicia Cordero Fazlollah Soleymani Juan R. Torregrosa |
| author_facet | Diyashvir K. R. Babajee Alicia Cordero Fazlollah Soleymani Juan R. Torregrosa |
| author_sort | Diyashvir K. R. Babajee |
| collection | DOAJ |
| description | This paper focuses on solving systems of nonlinear equations numerically. We propose an efficient iterative scheme including two steps and fourth order of convergence. The proposed method does not require the evaluation of second or higher order Frechet derivatives per iteration to proceed and reach fourth order of convergence. Finally, numerical results illustrate the efficiency of the method. |
| format | Article |
| id | doaj-art-e73a11f31a784d8a868117f665c42b52 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e73a11f31a784d8a868117f665c42b522025-02-03T05:46:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/165452165452On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear EquationsDiyashvir K. R. Babajee0Alicia Cordero1Fazlollah Soleymani2Juan R. Torregrosa3Department of Applied Mathematical Sciences, School of Innovative Technologies and Engineering, University of Technology, Mauritius, La Tour Koenig, Pointe aux Sables, MauritiusInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera, s/n, 40022 Valencia, SpainDepartment of Mathematics, Islamic Azad University, Zahedan Branch, P.O. Box 987-98138 Zahedan, IranInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera, s/n, 40022 Valencia, SpainThis paper focuses on solving systems of nonlinear equations numerically. We propose an efficient iterative scheme including two steps and fourth order of convergence. The proposed method does not require the evaluation of second or higher order Frechet derivatives per iteration to proceed and reach fourth order of convergence. Finally, numerical results illustrate the efficiency of the method.http://dx.doi.org/10.1155/2012/165452 |
| spellingShingle | Diyashvir K. R. Babajee Alicia Cordero Fazlollah Soleymani Juan R. Torregrosa On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations Journal of Applied Mathematics |
| title | On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations |
| title_full | On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations |
| title_fullStr | On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations |
| title_full_unstemmed | On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations |
| title_short | On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations |
| title_sort | on a novel fourth order algorithm for solving systems of nonlinear equations |
| url | http://dx.doi.org/10.1155/2012/165452 |
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