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A new tool to study real dynamics: The convergence plane
(Applied Mathematics and Computation, 2014-12)
In this paper, the author presents a graphical tool that allows to study the real dynamics of iterative methods whose iterations depends on one parameter in an easy and compact way. This tool gives the information as ...
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
(Mathematics and Computers in Simulation, 2014-11)
The real dynamics of a family of fourth-order iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used ...