A family of derivative-free methods for nonlinear equations

Author:

Wang Haijun,Li Subei

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Amat, S., Busquier, S.: A two-step Steffensen’s method under modified convergence conditions. J. Math. Anal. Appl. 324, 1084–1092 (2006)

2. Amat, S., Busquier, S., Plaza, S.: Review of some iterative root-finding methods from a dynamical point of view. Scientia, Ser. A, Math. Sci. 10, 3–35 (2004)

3. Argyors, I.k.: On the Secant method for solving nonsmooth equations. J. Math. Anal. Appl. 322, 146–157 (2006)

4. Dehghan, M., Hajarian, M.: A variant of Steffensen’s method with a better approximation to the derivative. Appl. Math. Comput. (2008). doi: 10.1016/j.amc.2007.12.046

5. Du, S., Gao, Y.: A parametrized Newton method for nonsmooth equations with finitely many maximum functions. Appl. Math. 54, 381–390 (2009)

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