A two-point eighth-order method based on the weight function for solving nonlinear equations
In this work, we have designed a family of with-memory methods with eighth-order convergence. We have used the weight function technique. The proposed methods have three parameters. Three self-accelerating parameters are calculated in each iterative step employing only information from the current...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2021-11-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1230 |
| _version_ | 1797769230013169664 |
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| author | Vali Torkashvand |
| author_facet | Vali Torkashvand |
| author_sort | Vali Torkashvand |
| collection | DOAJ |
| description |
In this work, we have designed a family of with-memory methods with eighth-order convergence. We have used the weight function technique. The proposed methods have three parameters. Three self-accelerating parameters are calculated in each iterative step employing only information from the current and all previous iteration. Numerical experiments are carried out to demonstrate the convergence and the e?ciency of our iterative method.
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| first_indexed | 2024-03-12T21:05:55Z |
| format | Article |
| id | doaj.art-49776142336644edb238801c6994c32c |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-03-12T21:05:55Z |
| publishDate | 2021-11-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-49776142336644edb238801c6994c32c2023-07-30T12:30:16ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2021-11-01501A two-point eighth-order method based on the weight function for solving nonlinear equationsVali Torkashvand0Young Researchers and Elite Club, Shahr-e-Qods Branch, Islamic Azad University, Islamic Republic of Iran In this work, we have designed a family of with-memory methods with eighth-order convergence. We have used the weight function technique. The proposed methods have three parameters. Three self-accelerating parameters are calculated in each iterative step employing only information from the current and all previous iteration. Numerical experiments are carried out to demonstrate the convergence and the e?ciency of our iterative method. https://ictp.acad.ro/jnaat/journal/article/view/1230Method with memoryAccelerator parameterWeight functionNewton’s interpolatory polynomialOrder of convergencenonlinear equations in R |
| spellingShingle | Vali Torkashvand A two-point eighth-order method based on the weight function for solving nonlinear equations Journal of Numerical Analysis and Approximation Theory Method with memory Accelerator parameter Weight function Newton’s interpolatory polynomial Order of convergence nonlinear equations in R |
| title | A two-point eighth-order method based on the weight function for solving nonlinear equations |
| title_full | A two-point eighth-order method based on the weight function for solving nonlinear equations |
| title_fullStr | A two-point eighth-order method based on the weight function for solving nonlinear equations |
| title_full_unstemmed | A two-point eighth-order method based on the weight function for solving nonlinear equations |
| title_short | A two-point eighth-order method based on the weight function for solving nonlinear equations |
| title_sort | two point eighth order method based on the weight function for solving nonlinear equations |
| topic | Method with memory Accelerator parameter Weight function Newton’s interpolatory polynomial Order of convergence nonlinear equations in R |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1230 |
| work_keys_str_mv | AT valitorkashvand atwopointeighthordermethodbasedontheweightfunctionforsolvingnonlinearequations AT valitorkashvand twopointeighthordermethodbasedontheweightfunctionforsolvingnonlinearequations |