Cordero Barbero, Alicia; Villalba, Eva G.; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula(MDPI AG, 2021-01-03)
[EN] A new parametric class of iterative schemes for solving nonlinear systems is designed.
The third- or fourth-order convergence, depending on the values of the parameter being proven.
The analysis of the dynamical ...
Cordero Barbero, Alicia; Leonardo Sepúlveda, Miguel A.; Torregrosa Sánchez, Juan Ramón(MDPI AG, 2022-10)
[EN] In this manuscript, we propose a parametric family of iterative methods of fourth-order convergence, and the stability of the class is studied through the use of tools of complex dynamics. We obtain the fixed and ...