Buscar en RiuNet

Listar

Todo RiuNet

Mi cuenta

Acceder

Ayuda RiuNet

Admin. UPV

Listar por palabra clave "Dynamical analysis"

Mostrando ítems 1-7 de 7

A highly efficient class of optimal fourth-order methods for solving nonlinear systems

Cordero Barbero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa Sánchez, Juan Ramón; Vassileva, María P. (Springer-Verlag, 2024-04)

[EN] In this manuscript, we present a new class of highly efficient two-parameter optimal iterative methods for solving nonlinear systems that generalizes Ostrowski's method, King's Family, Chun's method, and KLAM Family ...
Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators

Kumar, Abhimanyu; Gupta, D. K.; Martínez Molada, Eulalia; Hueso, José L. (Springer-Verlag, 2021-03)

[EN] In this paper, the convergence and dynamics of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings. Their semilocal convergence is established using ...
Dynamical and numerical analysis of classical multiple roots finding methods applied for different multiplicities

Campos, Beatriz; Garcia-Villalba, Eva; Vindel, Pura (Springer-Verlag, 2024-06)

[EN] The aim of this paper is the study of the robustness of classical methods defined for finding multiple roots with single multiplicity m when they are used for approximating different roots of a function having different ...
Isonormal surfaces: A new tool for the multidimensional dynamical analysis of iterative methods for solving nonlinear systems

Capdevila-Brown, Raudys Rafael; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (John Wiley & Sons, 2022-04)

[EN] The dynamical behavior of the rational vectorial operator associated with a multidimensional iterative method on polynomial systems gives us interesting information about the stability of the iterative scheme. The ...
Modifying Kurchatov's method to find multiple roots of nonlinear equations

Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (Elsevier, 2024-04)

[EN] We present a modification of Kurchatov's iterative method in order to solve a nonlinear equation with multiple roots, that is, for approximating solutions with multiplicity greater than one. One of its principal ...
Simultaneous roots for vectorial problems

Chinesta, Francisco; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (Springer-Verlag, 2023-07)

[EN] In this manuscript, we design an iterative step that can be added to any numerical process for solving systems of nonlinear equations. By means of this addition, the resulting iterative scheme obtains, simultaneously, ...
Symmetry in the Multidimensional Dynamical Analysis of Iterative Methods with Memory

Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (MDPI AG, 2022-03)

[EN] In this paper, new tools for the dynamical analysis of iterative schemes with memory for solving nonlinear systems of equations are proposed. These tools are in concordance with those of the scalar case and provide ...