Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations

Author:

Alberto Magreñán Á.ORCID,Argyros Ioannis K.

Publisher

Springer Science and Business Media LLC

Subject

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

Reference33 articles.

1. Amat, S., Busquier, S., Plaza, S.: Dynamics of the King and Jarratt iterations. Aequ. Math. 69 (2005) 3, 212223

2. Amat, S., Busquier, S., Plaza, S.: Chaotic dynamics of a third-order Newton-type method. J. Math. Anal. Appl. 366(1), 2432 (2010)

3. Amat, S., Hernández, M.A., Romero, N.: A modified Chebyshev’s iterative method with at least sixth order of convergence. Appl. Math. Comput. 206(1), 164–174 (2008)

4. Argyros, I.K.: Convergence and Application of Newton-Type Iterations. Springer, Berlin (2008)

5. Argyros, I.K., Hilout, S.: Numerical Methods in Nonlinear Analysis. World Scientific Publ. Comp, New Jersey (2013)

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