Complex dynamics of a sixth and seventh order family of root finding methods

Author:

Sharma DebasisORCID,Parhi Sanjaya Kumar

Funder

University Grants Commission

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Modeling and Simulation,Numerical Analysis

Reference22 articles.

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

2. Amat, S., Busquier, S., Plaza, S.: Dynamics of the King and Jarratt iterations. Aequationes Math. 69(3), 212–223 (2005)

3. Amat, S., Busquier, S., Plaza, S.: A construction of attracting periodic orbits for some classical third-order iterative methods. J. Comput. Appl. Math. 189, 22–33 (2006)

4. Amat, S., Busquier, S., Plaza, S.: Chaotic dynamics of a third-order Newton-type method. J. Math. Anal. Appl. 366(1), 24–32 (2010)

5. Argyros, I.K., Magreñán, Á.A.: On the convergence of an optimal fourth-order family of methods and its dynamics. Appl. Math. Comput. 252(1), 336–346 (2015)

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