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Listar por palabra clave "Basins of attraction"

Mostrando ítems 1-8 de 8

A new fourth-order family for solving nonlinear problems and its dynamics

Cordero Barbero, Alicia; Feng, Licheng; Magrenan, A.; Torregrosa Sánchez, Juan Ramón (Springer Verlag (Germany), 2015-03)

In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made ...
A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics

Bahl, Ashu; Cordero Barbero, Alicia; Sharma, Rajni; Torregrosa Sánchez, Juan Ramón (Elsevier, 2019-09-15)

[EN] In this paper, we propose a general bi-parametric family of sixth order iterative methods to solve systems of nonlinear equations. The presented scheme contains some well known existing methods as special cases. The ...
An optimal eighth order derivative free multiple root finding scheme and its dynamics

Zafar, Fiza; Cordero Barbero, Alicia; Rizvi, Dua-E-Zahra; Torregrosa Sánchez, Juan Ramón (American Institute of Mathematical Sciences, 2023)

[EN] The problem of solving a nonlinear equation is considered to be one of the significant domain. Motivated by the requirement to achieve more optimal derivative-free schemes, we present an eighth-order optimal derivative-free ...
Design of iterative methods with memory for solving nonlinear systems

Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (John Wiley & Sons, 2023-08)

[EN] In this paper, we design two parametric classes of iterative methods without memory to solve nonlinear systems, whose convergence order is 4 and 7, respectively. From their error equations and to increase the convergence ...
El caos en los métodos iterativos de resolución de ecuaciones no lineales

Moscoso Martínez, Marlon Ernesto (Universitat Politècnica de València, 2020-09-02)

[ES] En el presente trabajo se estudia la dinámica compleja de una familia de métodos con esquemas iterativos multipaso, que es una generalización de un método propuesto por Artidiello y col., sobre polinomios cuadráticos. ...
Generalizing Traub's method to a parametric iterative class for solving multidimensional nonlinear problems

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón (John Wiley & Sons, 2023-05-11)

[EN] In this work, we modify the iterative structure of Traub's method to include a real parameter alpha$$ \alpha $$. A parametric family of iterative methods is obtained as a generalization of Traub, which is also a member ...
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane

Magreñán Ruiz, Ángel Alberto; Cordero Barbero, Alicia; Gutiérrez Jiménez, José Manuel; Torregrosa Sánchez, Juan Ramón (Elsevier, 2014-11)

The real dynamics of a family of fourth-order iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used ...
Stability analysis of a parametric family of iterative methods for solving nonlinear models

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 ...