On the development and extensions of some classes of optimal three-point iterations for solving nonlinear equations
We develop a new families of optimal eight--order methods for solving nonlinear equations. We also extend some classes of optimal methods for any suitable choice of iteration parameter. Such development and extension was made using sufficient convergence conditions given in [14]. Numerical examples...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2021-12-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1238 |
| _version_ | 1797769251695624192 |
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| author | Tugal Zhanlav Otgondorj Khuder |
| author_facet | Tugal Zhanlav Otgondorj Khuder |
| author_sort | Tugal Zhanlav |
| collection | DOAJ |
| description |
We develop a new families of optimal eight--order methods for solving nonlinear equations. We also extend some classes of optimal methods for any suitable choice of iteration parameter. Such development and extension was made using sufficient convergence conditions given in [14]. Numerical examples are considered to check the convergence order of new families and extensions of some well-known methods.
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| first_indexed | 2024-03-12T21:06:16Z |
| format | Article |
| id | doaj.art-aa04310932514ee0bf59f7ad0cdfbe8c |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-03-12T21:06:16Z |
| publishDate | 2021-12-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-aa04310932514ee0bf59f7ad0cdfbe8c2023-07-30T12:30:14ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2021-12-01502On the development and extensions of some classes of optimal three-point iterations for solving nonlinear equationsTugal Zhanlav0Otgondorj Khuder1Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, MongoliaSchool of Applied Sciences, Mongolian University of Science and Technology, Mongolia We develop a new families of optimal eight--order methods for solving nonlinear equations. We also extend some classes of optimal methods for any suitable choice of iteration parameter. Such development and extension was made using sufficient convergence conditions given in [14]. Numerical examples are considered to check the convergence order of new families and extensions of some well-known methods. https://ictp.acad.ro/jnaat/journal/article/view/1238nonlinear equations in Rorder of convergencemultipoint methods |
| spellingShingle | Tugal Zhanlav Otgondorj Khuder On the development and extensions of some classes of optimal three-point iterations for solving nonlinear equations Journal of Numerical Analysis and Approximation Theory nonlinear equations in R order of convergence multipoint methods |
| title | On the development and extensions of some classes of optimal three-point iterations for solving nonlinear equations |
| title_full | On the development and extensions of some classes of optimal three-point iterations for solving nonlinear equations |
| title_fullStr | On the development and extensions of some classes of optimal three-point iterations for solving nonlinear equations |
| title_full_unstemmed | On the development and extensions of some classes of optimal three-point iterations for solving nonlinear equations |
| title_short | On the development and extensions of some classes of optimal three-point iterations for solving nonlinear equations |
| title_sort | on the development and extensions of some classes of optimal three point iterations for solving nonlinear equations |
| topic | nonlinear equations in R order of convergence multipoint methods |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1238 |
| work_keys_str_mv | AT tugalzhanlav onthedevelopmentandextensionsofsomeclassesofoptimalthreepointiterationsforsolvingnonlinearequations AT otgondorjkhuder onthedevelopmentandextensionsofsomeclassesofoptimalthreepointiterationsforsolvingnonlinearequations |