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Browsing by Subject "Parameter space"

Now showing items 1-5 of 5

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 stable family with high order of convergence for solving nonlinear equations

Cordero Barbero, Alicia; Lotfi, Taher; Mahdiani, Katayoun; Torregrosa Sánchez, Juan Ramón (Elsevier, 2015-03-01)

[EN] Recently, Li et al. (2014) have published a new family of iterative methods, without memory, with order of convergence five or six, which are not optimal in the sense of Kung and Traub’s conjecture. Therefore, we ...
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. ...
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 ...
Stability study of eighth-order iterative methods for solving nonlinear equations

Cordero Barbero, Alicia; Magrenán, Alberto; Quemada, Carlos; Torregrosa Sánchez, Juan Ramón (Elsevier, 2016)

[EN] In this paper, we study the stability of the rational function associated to a known family of eighth-order iterative schemes on quadratic polynomials. The asymptotic behavior of the fixed points corresponding to the ...