Author:
Wang Xiaofeng,Yang Yufan,Qin Yuping
Abstract
<abstract><p>In this paper, the semilocal convergence of the eighth order iterative method is proved in Banach space by using the recursive relation, and the proof process does not need high order derivative. By selecting the appropriate initial point and applying the Lipschitz condition to the first order Fréchet derivative in the whole region, the existence and uniqueness domain are obtained. In addition, the theoretical results of semilocal convergence are applied to two nonlinear systems, and satisfactory results are obtained.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference24 articles.
1. J. M. Ortega, W. C. Rheinboldt, Iterative solution of nonlinear equations in several variables, New York: Academic Press, 1970. https://doi.org/10.1016/C2013-0-11263-9
2. R. Behl, S. Bhalla, Á. A. Magrenán, S. Kumar, An efficient high order iterative scheme for large nonlinear systems with dynamics, J. Comput. Appl. Math., 404 (2022), 113249. http://dx.doi.org/10.1016/j.cam.2020.113249
3. C. Chun, B. Neta, Developing high order methods for the solution of systems of nonlinear equations, Appl. Math. Comput., 342 (2019), 178–190. http://dx.doi.org/10.1016/j.amc.2018.09.032
4. X. Wang, Y. Cao, A numerically stable high-order Chebyshev-Halley type multipoint iterative method for calculating matrix sign function, AIMS Math., 8 (2023), 12456–12471. http://dx.doi.org/10.3934/math.2023625
5. X. Wang, W. Li, Stability analysis of simple root seeker for nonlinear equation, Axioms, 12 (2023), 215. https://doi.org/10.3390/axioms12020215
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献