Argyros, Ioannis K.; Cordero Barbero, Alicia; Alberto Magreñán, A.; Torregrosa Sánchez, Juan Ramón(Elsevier, 2017)
[EN] In this paper, we present the study of the local convergence of a higher-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some ...
[EN] The study of the dynamical behaviour of the operators defined by iterative methods help us to know more deeply the regions where these methods have a good performance. In this paper, we follow the dynamical study of ...
Padilla, José J.; Chicharro, Francisco I.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(MDPI AG, 2022-10)
[EN] Research interest in iterative multipoint schemes to solve nonlinear problems has increased recently because of the drawbacks of point-to-point methods, which need high-order derivatives to increase the order of ...
Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(Springer-Verlag, 2019-07)
[EN] Complex dynamics tools applied on the rational functions resulting from a parametric family of roots solvers for nonlinear equations provide very useful results that have been stated in the last years. These qualitative ...
Cordero Barbero, Alicia; Gutiérrez, José Manuel; Magreñán, A. Alberto; Torregrosa Sánchez, Juan Ramón(Elsevier, 2016-07-20)
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 ...
Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón(Springer-Verlag, 2019-05)
[EN] Based on the third-order Traub's method, two iterative schemes with memory are introduced. The proper inclusion of accelerating parameters allows the introduction of memory. Therefore, the order of convergence of the ...
Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel Cañas, Pura(Taylor & Francis Ltd, 2012)
In this paper, we analyse the dynamical behaviour of the operators associated with multi-point interpolation iterative methods and frozen derivative methods, for solving nonlinear equations, applied on second-degree complex ...
Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón(John Wiley & Sons, 2019-03-11)
[EN]
A new family of two¿steps fourth¿order iterative methods for solving nonlinear equations is introduced based on the weight functions procedure. This family is optimal in the sense of Kung¿Traub conjecture and it ...