[EN] In this paper we obtain some theoretical results about iterative methods with memory for nonlinear equations. The class of algorithms we consider focus on incorporating memory without increasing the computational cost ...
[EN] There are a good number of higher-order iterative methods for computing multiple zeros of nonlinear equations in the available literature. Most of them required first or higher-order derivatives of the involved function. ...
Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón(Hindawi Publishing Corporation, 2012)
A family of derivative-free methods of seventh-order convergence for solving nonlinear equations is suggested. In the proposed methods, several linear combinations of divided differences are used in order to get a good ...
[EN] The aim of this paper is to introduce new high order iterative methods for multiple roots of the nonlinear scalar equation; this is a demanding task in the area of computational mathematics and numerical analysis. ...
Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hernández-Verón, Miguel Angel; Magreñán, A. Alberto; Martínez Molada, Eulalia(John Wiley & Sons, 2020-06-15)
[EN] This paper is devoted to the semilocal analysis of a high-order Steffensen-type method with frozen divided differences. The methods are free of bilinear operators and derivatives, which constitutes the main limitation ...
[EN] In this paper, we want to construct a new high-order and efficient iterative technique for solving a system of nonlinear equations. For this purpose, we extend the earlier scalar scheme [16] to a system of nonlinear ...
Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2013-11)
A new technique to obtain derivative-free methods with optimal order of convergence in the sense of the Kung-Traub conjecture for solving nonlinear smooth equations is described. The procedure uses Steffensen-like methods ...
[EN] In this paper we revise the proofs of the results obtained in "Convergence radius of Osada's method under Holder continuous condition"[4], because the remainder of the Taylor's expansion used for the obtainment of the ...
Hernández-Verón, M. A.; Martínez Molada, Eulalia; Singh, Sukhjit(Elsevier, 2022-04)
[EN] This work is devoted to solve integral equations formulated in terms of the kernel functions and Nemytskii operators. This type of equations appear in different applied problems such as electrostatics and radiative ...
[EN] We present a local convergence study of a fifth order iterative method to approximate a locally unique root of nonlinear equations. The analysis is discussed under the assumption that first order Frechet derivative ...
In this paper we deal with a generalization of the Vehicle Routing Problem with Time Windows that considers time-dependent travel times and costs. Through several steps we transform this extension into an Asymmetric ...
[EN] The significance of our work is to solve some second-order nonlinear boundary value prob-lems. To do this, we take into account the equivalence of the problems considered with certain integral equations, we will obtain ...
Geiser, Jürgen; Hueso, Jose L.; Martínez Molada, Eulalia(MDPI AG, 2020-03)
[EN] This article proposes adaptive iterative splitting methods to solve Multiphysics problems, which are related to convection-diffusion-reaction equations. The splitting techniques are based on iterative splitting ...
[EN] Solving equations of the form H(x)=0 is one of the most faced problem in mathematics and in other science fields such as chemistry or physics. This kind of equations cannot be solved without the use of iterative ...
The increasing penetration of smartphones, i.e., smart devices with multiple sensing and communication interfaces, creates the possibility to build novel types of networks. Opportunistic networking and Content- Based ...
[EN] In this paper we propose an alternative for the study of local convergence radius and the uniqueness radius for some third-order methods for multiple roots whose multiplicity is known. The main goal is to provide an ...
Hernández-Verón, Miguel Angel; Magreñán, Ángel Alberto; Martínez Molada, Eulalia; Singh, Sukhjit(Walter de Gruyter GmbH, 2023-11-21)
[EN] In this article, we introduce a new Steffensen-type method with the advantage that its behavior is very similar to Newton's method; therefore, it is a very remarkable way of avoiding the drawback that Newton's method ...
Hernández-Verón, Miguel A.; Yadav, Nisha; Magreñán, A. Alberto; Martínez Molada, Eulalia; Singh, Sukhjit(John Wiley & Sons, 2022-07-30)
[EN] In this work, a uniparametric generalization of the iterative method due to Kurchatov is presented. The iterative model presented is derivative-free and approximates the solution of nonlinear equations when the operator ...
Martínez Molada, Eulalia(Universitat Politècnica de València, 2009-06-19)
La hipoteca por compra de una vivienda consiste en un préstamo que hace un banco tomando como garantía de pago la propia vivienda. La cantidad prestada queda sujeta a interés compuesto mensual durante varios años.
Con ...
[EN] In this study, we suggest a new iterative family of iterative methods for approximating the roots with multiplicity in nonlinear equations. We found a lack in the approximation of multiple roots in the case that the ...