Optimization by parameters in the iterative methods for solving non-linear equations
Keywords:Iterative methods, Optimal values of parameters, Iterations with memory
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  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.
How to Cite
Copyright (c) 2021 Tugal Zhanlav, Khuder Otgondorj
This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright on any research article in the Proceedings of the Mongolian Academy of Sciences is retained by the author(s).
The authors grant the Proceedings of the Mongolian Academy of Sciences a license to publish the article and identify itself as the original publisher.
Articles in the Proceedings of the Mongolian Academy of Sciences are Open Access articles published under a Creative Commons Attribution 4.0 International License CC BY.
This license permits use, distribution and reproduction in any medium, provided the original work is properly cited.