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Study of a Biparametric Family of Iterative Methods
(Abstract and Applied Analysis, 2014)
The dynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the -iterative methods and the well-known Chebyshev-Halley family. We find the ...
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 ...