Optimization by parameters in the iterative methods for solving non-linear equations
In this paper, we used the necessary optimality condition for parameters in a two-point iterations for solving nonlinear equations. Optimal values of these parameters fully coincide with those obtained in [6] and allow us to increase the convergence order of these iterative methods. Numerical experi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Mongolian Academy of Sciences
2021-08-01
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| Series: | Proceedings of the Mongolian Academy of Sciences |
| Subjects: | |
| Online Access: | https://www.mongoliajol.info/index.php/PMAS/article/view/1756 |
| Summary: | In this paper, we used the necessary optimality condition for parameters in a two-point iterations for solving nonlinear equations. Optimal values of these parameters fully coincide with those obtained in [6] and allow us to increase the convergence order of these iterative methods. Numerical experiments and the comparison of existing robust methods are included to confirm the theoretical results and high computational efficiency. In particular, we considered a variety of real life problems from different disciplines, e.g., Kepler’s equation of motion, Planck’s radiation law problem, in order to check the applicability and effectiveness of our proposed methods. |
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| ISSN: | 2310-4716 2312-2994 |