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Browsing by Subject "Multipoint iterative methods"

Now showing items 1-2 of 2

A new class of iterative processes for solving nonlinear systems by using one divided differences operator

Cordero Barbero, Alicia; Jordan-Lluch, Cristina; Sanabria-Codesal, Esther; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-09)

[EN] In this manuscript, a new family of Jacobian-free iterative methods for solving nonlinear systems is presented. The fourth-order convergence for all the elements of the class is established, proving, in addition, that ...
New fourth and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis

Kansal, Munish; Cordero Barbero, Alicia; Bhalla, Sonia; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2021-07)

[EN] In this paper, a two-step class of fourth-order iterative methods for solving systems of nonlinear equations is presented. We further extend the two-step class to establish a new sixth-order family which requires only ...

Now showing items 1-2 of 2