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Listar por autor "García Maimo, Javier"

Mostrando ítems 1-9 de 9

Análisis dinámico y numérico de familias de métodos iterativos para la resolución de ecuaciones no lineales y su extensión a espacios de Banach

García Maimo, Javier (Universitat Politècnica de València, 2017-11-28)

Since the appearance of Newton-Rapshon's method more than 300 years ago, iterative methods have become almost unassailable in most branches of science. The development of computing has made it possible to solve problems ...
Chaos in King's iterative family

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 ...
Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems

Cordero Barbero, Alicia; Maimo, Javier G.; Rodríguez-Cabral, Antmel; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2023-03)

[EN] In this manuscript, we carry out a study on the generalization of a known family of multipoint scalar iterative processes for approximating the solutions of nonlinear systems. The convergence analysis of the proposed ...
Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations

Cordero Barbero, Alicia; Ledesma, Arleen; Maimó, Javier G.; Torregrosa Sánchez, Juan Ramón (American Institute of Mathematical Sciences, 2024-02-28)

[EN] In this paper, a new fourth-order family of iterative schemes for solving nonlinear equations has been proposed. This class is parameter-dependent and its numerical performance depends on the value of this free ...
Improving Newton-Schulz Method for Approximating Matrix Generalized Inverse by Using Schemes with Memory

Cordero Barbero, Alicia; Maimo, Javier G.; Torregrosa Sánchez, Juan Ramón; Vassileva, María P. (MDPI AG, 2023-07)

[EN] Some iterative schemes with memory were designed for approximating the inverse of a nonsingular square complex matrix and the Moore-Penrose inverse of a singular square matrix or an arbitrary m x n complex matrix. A ...
Iterative methods with memory for solving systems of nonlinear equations using a second order approximation

Cordero Barbero, Alicia; Maimó, Javier G.; Torregrosa Sánchez, Juan Ramón; Vassileva, María P. (MDPI AG, 2019-11)

[EN] Iterative methods for solving nonlinear equations are said to have memory when the calculation of the next iterate requires the use of more than one previous iteration. Methods with memory usually have a very stable ...
Métodos iterativos óptimos para la determinación de órbitas de satélites

García Maimo, Javier (Universitat Politècnica de València, 2015-06-02)

En esta tesis se introducen los conceptos y herramientas que se utilizan en el estudio de la dinámica de los métodos iterativos. Se muestra la importancia de incluir este estudio, y no solamente el orden de convergencia, ...
Semilocal Convergence of the Extension of Chun's Method

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, ...
Stability anomalies of some jacobian-free iterative methods of high order of convergence

Cordero Barbero, Alicia; García-Maimo, Javier; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria Penkova (MDPI AG, 2019-04-25)

[EN] In this manuscript, we design two classes of parametric iterative schemes to solve nonlinear problems that do not need to evaluate Jacobian matrices and need to solve three linear systems per iteration with the same ...