Measures of the Basins of Attracting n-Cycles for the Relaxed Newton’s Method

Author:

Gutiérrez J. M.,Hernández L. J.,Magreñán Á. A.,Rivas M. T.

Publisher

Springer International Publishing

Reference15 articles.

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2. Beardon, A.F.: Iteration of Rational Functions. Springer, New York (2000)

3. Campbell, J.T., Collins, J.T.: Specifying attracting cycles for Newton maps of polynomials (2013). arXiv:1208.5687

4. Chicharro, F., Cordero, A., Torregrosa, J.R.: Drawing dynamical and parameters planes of iterative families and methods. Sci. World J. 2013, Article ID 780153 (2013)

5. Curry, J.H., Garnett, L., Sullivan, D.: On the iteration of a rational function: computer experiments with Newton’s method. Commun. Math. Phys. 91, 267–277 (1983)

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