In this paper we present an infinite family of one-step iterative formulas for solving nonlinear equations (Present Method One), from now on PMI, that can be expressed as xn+1=Fm(xn), with 1<= m<= infinite, integer, Fm ...
[EN] In this manuscript, we propose an iterative step that, combined with any other method, allows us to obtain an iterative scheme for approximating the simple roots of a polynomial simultaneously. We show that adding ...
[EN] We consider the numerical solution of linear systems arising from computational electromagnetics applications. For large scale problems the solution is usually obtained iteratively with a Krylov subspace method. It ...
In this paper the problem of the determination of the preliminary orbit of a celestial body is studied. We compare the results obtained by the classical Gauss's method with those obtained by some higher-order iterative ...
Marín Mateos-Aparicio, José; Mas Marí, José(Springer-Verlag, 2023-01)
[EN] In this work we study pivoting strategies for the preconditioner presented in Bru (SIAM J Sci Comput 30(5):2302-2318, 2008) which computes the LU factorization of a matrix A. This preconditioner is based on the Inverse ...
Campos, B.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; P. Vindel(Springer Verlag (Germany), 2015-03)
In this paper we study the dynamical behavior of the -family of iterative methods for solving nonlinear equations, when we apply the fixed point operator associated to this family on quadratic polynomials. This is a family ...
Bodoque, JM; Eguíbar Galán, Miguel Ángel; Diez-Herrero, A; Gutierrez-Perez, I; Ruiz-Villanueva, V(American Geophysical Union (AGU), 2011)
Many flood events involving water and sediments have been characterized using classic hydraulics principles, assuming the existence of critical flow and many other simplifications. In this paper, hyperconcentrated flow ...
Cordero Barbero, Alicia; Franques, Antonio; Torregrosa Sánchez, Juan Ramón(Springer-Verlag, 2016)
[EN] In this paper, a family of parametric iterative methods for solving nonlinear equations, including Homeier's scheme, is presented. Its local convergence is obtained and the dynamical behavior on quadratic polynomials ...
Cordero Barbero, Alicia; García Maimo, Javier; Torregrosa Sánchez, Juan Ramón; Vassileva, María Penkova; Vindel Cañas, Pura(Elsevier, 2013-08)
In this paper, the dynamics of King's family of iterative schemes for solving nonlinear equations is studied. The parameter spaces are presented, showing the complexity of the family. The analysis of the parameter space ...
[EN] In this paper, we propose a general class of fourth-order optimal multi-point methods without
memory for obtaining simple roots. This class requires only three functional evaluations (viz.
two evaluations of function ...
Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Teruel, Carles(Elsevier, 2015-02)
[EN] In this work we present a new family of iterative methods for solving nonlinear systems
that are optimal in the sense of Kung and Traub’s conjecture for the unidimensional case.
We generalize this family by performing ...
Cordero Barbero, Alicia; Ferrero-Molina, Alfredo; Torregrosa Sánchez, Juan Ramón(Elsevier, 2016-01)
[EN] In this paper, a parametric family including Newton's and Traub's iterative schemes is presented. Its local convergence and dynamical behavior on quadratic polynomials are studied. The analysis of fixed and critical ...
Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Teruel, Carles(Elsevier, 2015-05-15)
[EN] In this work we introduce a new operator of divided differences that preserves the convergence
order when it is used for approximating the Jacobian matrix in iterative method for
solving nonlinear systems. We obtain ...
Teruel Ferragud, Carles(Universitat Politècnica de València, 2016-01-11)
[EN] The necessity of solving nonlinear equations and systems arises naturally in the different areas of engineering and science when integral and differential equations are discretized. Nowadays, computers have become ...
[EN] A new parametric family of iterative schemes for solving nonlinear systems is presented. Fourth-order convergence is demonstrated and its stability is analyzed as a function of the parameter values. This study allows ...
[EN] In this work we focus on the problem of approximating multiple roots of nonlinear equations. Multiple roots appear in some applications such as the compression of band-limited signals and the multipactor effect in ...
Villavicencio Mera, Julio Cesar(Universitat Politècnica de València, 2022-01-14)
[ES] En este trabajo se hace un estudio sobre como resolver los muy conocidos problemas de valor inicial en su caso no
lineal, mediante el método de diferencias finitas y métodos iterativos que resuelvan el
sistema no ...
Torregrosa Sánchez, Juan Ramón; Cordero Barbero, Alicia; Pablo Soto-Quiros; Armando Solís(Instituto Tecnológico de Costa Rica, 2021-02-08)
[ES] Una corriente en métodos numéricos es la elaboración de nuevos métodos iterativos para
la resolución de ecuaciones no lineales; se busca que estos métodos sean óptimos en contraste con su
orden de convergencia y el ...
Guasp Alburquerque, Lucía(Universitat Politècnica de València, 2019-08-01)
[ES] En todas las disciplinas de la ciencia, desde la ingeniería hasta la economía, encontrar las soluciones de una ecuación es esencial. Puesto que los métodos iterativos nos permiten encontrar dichas soluciones de ...
[EN] In this paper, we consider the problem of solving initial value problems and boundary value problems through the point of view of its continuous form. It is well known that in most cases these types of problems are ...