Optimal High-Order Methods for Solving Nonlinear Equations
A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical tests are made in order to confirm the theoretical results and to compare th...
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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/10.1155/2014/591638 |
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| _version_ | 1850170835837386752 |
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| author | S. Artidiello A. Cordero Juan R. Torregrosa M. P. Vassileva |
| author_facet | S. Artidiello A. Cordero Juan R. Torregrosa M. P. Vassileva |
| author_sort | S. Artidiello |
| collection | DOAJ |
| description | A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical tests are made in order to confirm the theoretical results and to compare the new methods with other known ones. |
| format | Article |
| id | doaj-art-acb6c3affb8d4bda8da7a0f366cdecdc |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-acb6c3affb8d4bda8da7a0f366cdecdc2025-08-20T02:20:23ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/591638591638Optimal High-Order Methods for Solving Nonlinear EquationsS. Artidiello0A. Cordero1Juan R. Torregrosa2M. P. Vassileva3Instituto Tecnológico de Santo Domingo (INTEC), Avenida de Los Próceres, Galá, 10601 Santo Domingo, Dominican RepublicInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 40022 Valencia, SpainInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 40022 Valencia, SpainInstituto Tecnológico de Santo Domingo (INTEC), Avenida de Los Próceres, Galá, 10601 Santo Domingo, Dominican RepublicA class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical tests are made in order to confirm the theoretical results and to compare the new methods with other known ones.http://dx.doi.org/10.1155/2014/591638 |
| spellingShingle | S. Artidiello A. Cordero Juan R. Torregrosa M. P. Vassileva Optimal High-Order Methods for Solving Nonlinear Equations Journal of Applied Mathematics |
| title | Optimal High-Order Methods for Solving Nonlinear Equations |
| title_full | Optimal High-Order Methods for Solving Nonlinear Equations |
| title_fullStr | Optimal High-Order Methods for Solving Nonlinear Equations |
| title_full_unstemmed | Optimal High-Order Methods for Solving Nonlinear Equations |
| title_short | Optimal High-Order Methods for Solving Nonlinear Equations |
| title_sort | optimal high order methods for solving nonlinear equations |
| url | http://dx.doi.org/10.1155/2014/591638 |
| work_keys_str_mv | AT sartidiello optimalhighordermethodsforsolvingnonlinearequations AT acordero optimalhighordermethodsforsolvingnonlinearequations AT juanrtorregrosa optimalhighordermethodsforsolvingnonlinearequations AT mpvassileva optimalhighordermethodsforsolvingnonlinearequations |