| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4629024 | Applied Mathematics and Computation | 2013 | 13 Pages |
Abstract
The dynamical behavior of two iterative derivative-free schemes, Steffensen and M4 methods, is studied in case of quadratic and cubic polynomials. The parameter plane is analyzed for both procedures on quadratic polynomials. Different dynamical planes are showed when the mentioned methods are applied on particular cubic polynomials with real or complex coefficients. The property of immersion of the basins of attraction in all cases is analyzed.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Francisco Chicharro, Alicia Cordero, José M. Gutiérrez, Juan R. Torregrosa,