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A New High-Order Jacobian-Free Iterative Method with Memory for Solving Nonlinear Systems

Behl, Ramandeep; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Bhalla, Sonia (MDPI AG, 2021-09-01)

[EN] We used a Kurchatov-type accelerator to construct an iterative method with memory for solving nonlinear systems, with sixth-order convergence. It was developed from an initial scheme without memory, with order of ...
Dynamics of iterative families with memory based on weight functions procedure

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 ...
High order family of multivariate iterative methods: Convergence and Stability

Behl, Ramandeep; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2022-05-15)

[EN] In this manuscript, we design an efficient sixth-order scheme for solving nonlinear systems of equations, with only two steps in its iterative expression. Moreover, it belongs to a new parametric class of methods whose ...

Now showing items 1-3 of 3