Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2019-07)
[EN] In this paper, we analyze the stability of a parametric family of iterative methods with memory for solving nonlinear equations. This family is obtained from an optimal class of fourth -order schemes without memory ...
Magreñán Ruiz, Ángel Alberto; Cordero Barbero, Alicia; Gutiérrez Jiménez, José Manuel; Torregrosa Sánchez, Juan Ramón(Elsevier, 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 ...