García Villalba, Eva(Universitat Politècnica de València, 2024-06-03)
[ES] Dentro del campo del Análisis Numérico, la resolución de ecuaciones y sistemas de ecuaciones no lineales es uno de los aspectos más relevantes y estudiados. Esto se debe a que gran cantidad de problemas de Matemática ...
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 ...
[EN] In this study, an iterative scheme of sixth order of convergence for solving systems of nonlinear equations is presented. The scheme is composed of three steps, of which the first two steps are that of third order ...
[EN] In this work, we introduce a modification into the technique, presented in A. Cordero, J.L. Hueso, E. Martinez, and J.R. Torregrosa [Increasing the convergence order of an iterative method for nonlinear systems, Appl. ...
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 ...
[EN] We present a new Jarratt-type family of optimal fourth- and sixth-order iterative methods for solving nonlinear equations, along with their convergence properties. The schemes are extended to nonlinear systems of ...
Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón; Ullah, M. Zaka(Elsevier, 2017)
[EN] A general family of iterative methods including a free parameter is derived and proved to be convergent for computing matrix sign function under some restrictions on the parameter. Several special cases including ...
[EN] This paper is devoted to the construction and analysis of an efficient k-step iterative method for nonlinear equations. The main advantage of this method is that it does not need to evaluate any high order Frechet ...
Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón(Elsevier, 2020-06)
[EN] Iterative methods with memory for solving nonlinear systems have been designed. For approximating the accelerating parameters the Kurchatov's divided difference is used as an approximation of the derivative of second ...
Amat, Sergio; Argyros, Ioannis K.; Busquier Saez, Sonia; Hernández-Verón, Miguel Angel; Martínez Molada, Eulalia(Elsevier, 2018-12-01)
[EN] This paper is devoted to a family of Newton-like methods with frozen derivatives used to approximate a locally unique solution of an equation. The methods have high order of convergence but only using first order ...
Hernandez Verón, Miguel Angel; Martínez Molada, Eulalia(Springer Verlag (Germany), 2015-10)
[EN] In this paper the semilocal convergence for an alternative to the three steps Newton's method with frozen derivative is presented. We analyze the generalization of convergence conditions given by w-conditioned ...
Guerrero Flores, Danny Joel(Universitat Politècnica de València, 2018-07-02)
El tema principal de esta tesis es el desarrollo de técnicas de actualización de precondicionadores para resolver sistemas lineales de gran tamaño y dispersos Ax=b mediante el uso de métodos iterativos de Krylov. Se ...
[EN] In this paper, we propose a family of optimal eighth order convergent iterative methods for multiple roots with known multiplicity with the introduction of two free parameters and three univariate weight functions. ...
[EN] The study of the dynamical behaviour of the operators defined by iterative methods help us to know more deeply the regions where these methods have a good performance. In this paper, we follow the dynamical study of ...
Padilla, José J.; Chicharro, Francisco I.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón(MDPI AG, 2022-10)
[EN] Research interest in iterative multipoint schemes to solve nonlinear problems has increased recently because of the drawbacks of point-to-point methods, which need high-order derivatives to increase the order of ...
Cerdán Soriano, Juana Mercedes; Guerrero-Flores, Danny Joel; Marín Mateos-Aparicio, José; Mas Marí, José(Elsevier, 2018-12-01)
[EN] We present a preconditioning technique for solving nonsymmetric linear systems Ax = b, where the coefficient matrix A has a skew-symmetric part that can be well approximated with a skew-symmetric low-rank matrix. The ...
[EN] In this paper we present a method for computing sparse preconditioners for iteratively solving rank deficient least squares problems (LS) by the LSMR method. The main idea of the method proposed is to update an ...
[EN] Spectral preconditioners are based on the fact that the convergence rate of Krylov subspace
methods is improved if the eigenvalues of smallest magnitude of the system matrix are
`removed'. In this paper, two ...
A modified classical method for preliminary orbit determination is presented. In our proposal, the spread of the observations is considerably wider than in the original method, as well as the order of convergence of the ...
Capdevila Brown, Raudys Rafael(Universitat Politècnica de València, 2024-01-03)
[ES] Se puede afirmar que la inmensa mayoría de los fenómenos de la naturaleza estudiados tienen un carácter no lineal.
Muchos de estos problemas se pueden modelar utilizando ecuaciones diferenciales no lineales (EDNL) ...