Local Convergence of a Seventh Order Derivative-Free Method for Solving Nonlinear Equations in Banach Spaces

Author:

Bhavna ,Bhatia SaurabhORCID

Funder

University Grants Commission

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference26 articles.

1. Ahmad, F., Soleymani, F., Haghani, F.K., Serra-Capizzano, S.: Higher order derivative-free iterative methods with and without memory for systems of nonlinear equations. Appl. Math. Comput. 314, 199–211 (2017)

2. Argyros, I.K.: Computational theory of iterative methods. In: Chui, C.K., Wuytack, L. (eds.) Series: Studies in Computational Mathematics, vol. 15. Elsevier, New York (2007)

3. Argyros, I.K., George, S.: Local convergence of a multi-step high order method with divide differences under hypotheses on the first derivative. Ann. Univ. Paedagog. Crac. Stud. Math. 16, 41–50 (2017)

4. Argyros, I.K., George, S.: Local convergence for a Chebyshev-type method in Banach space free of derivatives. Adv. Theory Nonlinear Anal. Appl. 2, 62–69 (2018)

5. Argyros, I.K., Kansal, M., Kanwar, V., Bajaj, S.: Higher order derivative free families of Chebyshev–Halley type methods with or without memory for solving nonlinear equations. Appl. Math. Comput. 315, 224–245 (2017)

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