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A biparametric extension of King’s fourth-order methods and their dynamics
(Applied Mathematics and Computation, 2016-05)
A class of two-point quartic-order simple-zero finders and their dynamics are investigated in this paper by extending King’s fourth-order family of methods. With the introduction of an error corrector having a weight ...
Stability analysis of a parametric family of iterative methods for solving nonlinear models
(Applied Mathematics and Computation, 2016-07)
A one-parametric family of fourth-order iterative methods for solving nonlinear systems is presented, proving the fourth-order of convergence of all members in this family, except one of them whose order is five. The methods ...
Stability study of eighth-order iterative methods for solving nonlinear equations
(Journal of Computational and Applied Mathematics, 2016-01)
In this paper, we study the stability of the rational function associated to a known family of eighth-order iterative schemes on quadratic polynomials. The asymptotic behavior of the fixed points corresponding to the ...
On the election of the damped parameter of a two-step relaxed Newton-type method
(Nonlineard Dynamics, 2016-04)
In this paper, we are interested to justified two typical hypotheses that appear in the convergence analysis, |λ|≤2|λ|≤2 and z0z0 sufficient close to z∗z∗ . In order to proof these ideas, the dynamics of a damped ...