Comparison of some optimal derivative-free three-point iterations
We show that the well-known Khattri et al. methods and Zheng et al. methods are identical. In passing, we propose a suitable calculation formula for Khattri et al. methods. We also show that the families of eighth-order derivative-free methods obtained in [8] include some existing methods, among th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2020-09-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1179 |
| _version_ | 1797769218648702976 |
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| author | Thugal Zhanlav Khuder Otgondorj |
| author_facet | Thugal Zhanlav Khuder Otgondorj |
| author_sort | Thugal Zhanlav |
| collection | DOAJ |
| description |
We show that the well-known Khattri et al. methods and Zheng et al. methods are identical. In passing, we propose a suitable calculation formula for Khattri et al. methods. We also show that the families of eighth-order derivative-free methods obtained in [8] include some existing methods, among them the above-mentioned ones as particular cases. We also give the sufficient convergence condition of these families. Numerical examples and comparison with some existing methods were made. In addition, the dynamical behavior of methods of these families is analyzed.
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| first_indexed | 2024-03-12T21:05:43Z |
| format | Article |
| id | doaj.art-1d78feafac1e4c02afe6500c222748d7 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-03-12T21:05:43Z |
| publishDate | 2020-09-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-1d78feafac1e4c02afe6500c222748d72023-07-30T12:30:20ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2020-09-01491Comparison of some optimal derivative-free three-point iterationsThugal Zhanlav0Khuder Otgondorj1Mongolian University of Science and Technology, MongoliaSchool of Applied Sciences, Mongolian University of Science and Technology, Mongolia We show that the well-known Khattri et al. methods and Zheng et al. methods are identical. In passing, we propose a suitable calculation formula for Khattri et al. methods. We also show that the families of eighth-order derivative-free methods obtained in [8] include some existing methods, among them the above-mentioned ones as particular cases. We also give the sufficient convergence condition of these families. Numerical examples and comparison with some existing methods were made. In addition, the dynamical behavior of methods of these families is analyzed. https://ictp.acad.ro/jnaat/journal/article/view/1179nonlinear equations in Rderivative-free methodsoptimal three-point iterative methods |
| spellingShingle | Thugal Zhanlav Khuder Otgondorj Comparison of some optimal derivative-free three-point iterations Journal of Numerical Analysis and Approximation Theory nonlinear equations in R derivative-free methods optimal three-point iterative methods |
| title | Comparison of some optimal derivative-free three-point iterations |
| title_full | Comparison of some optimal derivative-free three-point iterations |
| title_fullStr | Comparison of some optimal derivative-free three-point iterations |
| title_full_unstemmed | Comparison of some optimal derivative-free three-point iterations |
| title_short | Comparison of some optimal derivative-free three-point iterations |
| title_sort | comparison of some optimal derivative free three point iterations |
| topic | nonlinear equations in R derivative-free methods optimal three-point iterative methods |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1179 |
| work_keys_str_mv | AT thugalzhanlav comparisonofsomeoptimalderivativefreethreepointiterations AT khuderotgondorj comparisonofsomeoptimalderivativefreethreepointiterations |