Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, María P.(Elsevier, 2012-08-01)
A new technique for designing iterative methods for solving nonlinear systems is presented. This procedure, called pseudocomposition, uses a known method as a predictor and the Gaussian quadrature as a corrector. The order ...
Cordero Barbero, Alicia; Hernandez-Veron, M. A.; Romero, N.; Torregrosa Sánchez, Juan Ramón(Elsevier, 2015-01-01)
In this paper, a semilocal convergence result in Banach spaces of an efficient fifth-order method is analyzed. Recurrence relations are used in order to prove this convergence, and some a priori error bounds are found. ...
Hernández-Verón, Miguel Angel; Martínez Molada, Eulalia; Teruel-Ferragud, Carles(Springer-Verlag, 2017)
[EN] In this paper, we analyze the semilocal convergence of k-steps Newton's method with frozen first derivative in Banach spaces. The method reaches order of convergence k + 1. By imposing only the assumption that the ...
Cordero Barbero, Alicia; Maimó, Javier G.; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P.(MDPI AG, 2021-09)
[EN] In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun's iterative method. This is an iterative method of fourth order, ...
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 ...
Cordero Barbero, Alicia; Jaiswal, J.P.; Torregrosa Sánchez, Juan Ramón(UP4 Institute of Sciences, S.L., 2019-04-19)
[EN] The use of complex dynamics tools in order to deepen the knowledge of qualitative behaviour of iterative methods for
solving non-linear equations is a growing area of research in the last few years with fruitful ...
Cordero Barbero, Alicia; García-Maimo, Javier; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P.(Elsevier, 2017)
[EN] In this paper we present a dynamical study of the Ostrowski-Chun family of iterative methods on quadratic polynomials. We will use dynamical tools such as the analysis of fixed and critical points, and the calculation ...
[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 ...
[EN] There are several problems of pure and applied science which can be studied in the unified
framework of the scalar and vectorial nonlinear equations. In this paper, we propose a
sixth-order family of Jarratt type ...
Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel Cañas, Pura(Taylor & Francis Ltd, 2012)
In this paper, we analyse the dynamical behaviour of the operators associated with multi-point interpolation iterative methods and frozen derivative methods, for solving nonlinear equations, applied on second-degree complex ...
Lázaro Navarro, Mario(Universitat Politècnica de València, 2013-06-25)
El análisis y el control de las vibraciones cobra especial importancia en muchas
ramas de la ingeniería, en especial la ingeniería mecánica, civil, aeronáutica y
automovilística. Tal es así que prácticamente se identi¿ca ...
In this paper, based on Ostrowski's method, a new family of eighth-order methods for solving nonlinear equations is derived. In terms of computational cost, each iteration of these methods requires three evaluations of the ...
Marín Mateos-Aparicio, José; Mas Marí, José; Guerrero-Flores, Danny Joel; Hayami, K.(Springer-Verlag, 2017)
[EN] In this paper, we analyze how to update incomplete Cholesky preconditioners to solve least squares problems using iterative methods when the set of linear relations is updated with some new information, a new variable ...
Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón(John Wiley & Sons, 2019-03-11)
[EN]
A new family of two¿steps fourth¿order iterative methods for solving nonlinear equations is introduced based on the weight functions procedure. This family is optimal in the sense of Kung¿Traub conjecture and it ...