Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2012-12)
In this work we introduce a technique for solving nonlinear systems that improves the order of convergence of any given iterative method which uses the Newton iteration as a predictor. The main idea is to compose a given ...
[EN] A set of multistep iterative methods with increasing order of convergence is presented, for solving systems of nonlinear equations. One of the main advantages of these schemes is to achieve high order of convergence ...
[EN] The main contribution of this study is to present a new optimal eighth-order scheme for locating zeros with multiplicity m > 1. An extensive convergence analysis is presented with the main theorem in order to demonstrate ...
Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2015-02)
In this paper, a procedure to design Steffensen-type methods of different orders for solving nonlinear equations is suggested. By using a particular divided difference of first order we can transform many iterative methods ...
Cevallos Alarcón, Fabricio Alfredo(Universitat Politècnica de València, 2023-05-22)
[ES] La resolución de ecuaciones y sistemas no lineales es un tema de gran interés teórico-práctico, pues muchos modelos matemáticos de la ciencia o de la industria se expresan mediante sistemas no lineales o ecuaciones ...
Abad Rodríguez, Manuel Francisco(Universitat Politècnica de València, 2013-03-25)
En esta memoria se presentan dos métodos iterativos de órdenes cuatro y cinco, respectivamente, para resolver sistemas no lineales de ecuaciones. Realizamos comparaciones numéricas con otros métodos existente de órdenes ...
Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; VASSILEVA, MARÍA PENKOVA(Elsevier, 2015-10-01)
[EN] In this paper, from Traub’s method and by applying weight function technique, a bi-parametric
family of predictor–corrector iterative schemes with optimal fourth-order of convergence, for
solving nonlinear equations, ...
In this paper we present and analyze a set of predictor-corrector iterative methods with increasing order of convergence, for solving systems of nonlinear equations. Our aim is to achieve high order of convergence with few ...
Cordero Barbero, Alicia; Jordan-Lluch, Cristina; Torregrosa Sánchez, Juan Ramón(Elsevier, 2015-02)
In this paper, a unified point of view that includes the most of one-point Newton-type iterative
methods for solving nonlinear equations is introduced. A simple idea to design iterative
methods with quadratic or cubic ...
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 ...
This study describes an application of the multicriteria single price model (Ballestero) to the ranking of alternatives. By a generalization of the original model, the equilibrium set of alternatives can be characterized ...
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. ...
[EN] The semilocal convergence of double step Secant method to approximate a locally unique solution of a nonlinear equation is described in Banach space setting. Majorizing sequences are used under the assumption that the ...
In this paper, by using a generalization of Ostrowski' and Chun's methods two bi-parametric families of predictor-corrector iterative schemes, with order of convergence four for solving system of nonlinear equations, are ...
In this work, we extract some new and efficient two-point methods with memory from their corresponding optimal methods without memory, to estimate simple roots of a given nonlinear equation. Applying two accelerator ...
Cordero Barbero, Alicia; Ramos, Higinio; Torregrosa Sánchez, Juan Ramón(Springer-Verlag, 2020-04)
[EN] In this paper, we develop some variants of the well-known Halley's iterative method to solve nonlinear equations. The resulting methods are one-step methods, with and without memory, which use different number of ...
Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2012-06)
[EN] In the present paper, by approximating the derivatives in the well known fourth-order Ostrowski's method and in a sixth-order improved Ostrowski's method by central-difference quotients, we obtain new modifications ...
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 ...
Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, M.P.(Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2015-09-02)
In this paper we design, by using the weight function technique, two families of iterative schemes with order of convergence eight. These weight functions depend on one, two and three variables and they are used in the ...
[EN] In this work, we analyze the dynamical behavior on quadratic polynomials of a class of derivative-free optimal parametric iterative methods, designed by Khattri and Steihaug. By using their parameter as an accelerator, ...