Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hernández-Verón, Miguel Angel; Magreñán, A. Alberto; Martínez Molada, Eulalia(John Wiley & Sons, 2020-06-15)
[EN] This paper is devoted to the semilocal analysis of a high-order Steffensen-type method with frozen divided differences. The methods are free of bilinear operators and derivatives, which constitutes the main limitation ...
Hernández-Verón, Miguel A.; Yadav, Nisha; Magreñán, A. Alberto; Martínez Molada, Eulalia; Singh, Sukhjit(John Wiley & Sons, 2022-07-30)
[EN] In this work, a uniparametric generalization of the iterative method due to Kurchatov is presented. The iterative model presented is derivative-free and approximates the solution of nonlinear equations when the operator ...
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 ...