Families of Optimal Derivative-Free Two- and Three-Point Iterative Methods for Solving Nonlinear Equations

Author:

Zhanlav T.,Otgondorj Kh.,Chuluunbaatar O.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference34 articles.

1. L. Liu and X. Wang, “Eighth-order methods of high efficiency index for solving nonlinear equations,” Appl. Math. Comput. 215, 3449–3454 (2010).

2. M. S. Petković, B. Neta, L. D. Petković, and J. Džunić, “Multipoint methods for solving nonlinear equations: A survey,” Appl. Math. Comput. 226, 635–660 (2014).

3. R. Thukral and M. S. Petković, “A family of three-point methods of optimal order for solving nonlinear equations,” J. Comput. Appl. Math. 233, 2278–2284 (2010).

4. X. Wang and L. Liu, “New eighth-order iterative methods for solving non-linear equations,” J. Comput. Appl. Math. 234, 1611–1620 (2010).

5. T. Zhanlav, V. Ulziibayar, O. Chuluunbaatar, and “Generating function method for constructing new iterations,” Appl. Math. Comput. 315, 414–423 (2017).

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2. Convergence Analysis of the Modified Chebyshev’s Method for Finding Multiple Roots;Vietnam Journal of Mathematics;2021-01-12

3. On the Optimal Choice of Parameters in Two-Point Iterative Methods for Solving Nonlinear Equations;Computational Mathematics and Mathematical Physics;2021-01

4. Comparison of some optimal derivative-free three-point iterations;Journal of Numerical Analysis and Approximation Theory;2020-09-08

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