Listar por tema "nonlinear problems"
Mostrando ítems 1-3 de 3
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On the election of the damped parameter of a two-step relaxed Newton-type method
(Nonlineard Dynamics, 04/2016)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 ... -
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
(Mathematics and Computers in Simulation, 11/2014)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 ... -
Stability analysis of a parametric family of iterative methods for solving nonlinear models
(Applied Mathematics and Computation, 07/2016)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 ...
