A first overview on the real dynamics of Chebyshev's method
Gutiérrez, José M
Magreñán, Á. Alberto (UNIR)
Tipo de Ítem:Articulo Revista Indexada
In this paper we explore some properties of the well known root-finding Chebyshev’s method applied to polynomials defined on the real field. In particular we are interested in showing the existence of extraneous fixed points, that is fixed points of the iteration map that are not root of the considered polynomial. The existence of such extraneous fixed points is a specific property in the dynamical study of Chebyshev’s method that does not happen in other known iterative methods as Newton’s or Halley’s methods. In addition, in this work we consider other dynamical aspects of the method as, for instance, the Feigenbaum bifurcation diagrams or the parameter plane.
Este ítem aparece en la(s) siguiente(s) colección(es)
Mostrando ítems relacionados por Título, autor o materia.
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane Magreñán, Á. Alberto (UNIR); Cordero, Alicia; Gutiérrez, José M; Torregrosa, Juan Ramón (Mathematics and Computers in Simulation, 11/2014)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 ...
Cordero, Alicia; Gutiérrez, José M; Magreñán, Á. Alberto (UNIR); Torregrosa, Juan Ramón (Applied Mathematics and Computation, 07/2016)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 ...
Effects of Cognitive-Behavioral techniques on hot flushes, depression and anxiety related to menopause in Spanish women Larroy García, Cristina; Marín Martín, Carolina; Gutiérrez Gómez-Calcerrada, Sonia (UNIR) (Wulfenia, 03/2015)Background: Menopause is associated with a wide variety of physical and psychological symptoms. The main complaints are focused on those related to vasomotor symptoms (hot flushes). Correlation among hot flushes, depression ...