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 ...
Arroyo Martínez, Víctor; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María(Taylor & Francis Ltd, 2012)
In recent years, high-order methods have shown to be very useful in many practical applications, in which nonlinear systems arise. In this case, a classical method of positional astronomy have been modified in order to ...
Artidiello Moreno, Santiago de Jesús(Universitat Politècnica de València, 2014-11-17)
Resumen
La resolución de ecuaciones y sistemas de ecuaciones no lineales figura entre los problemas
más importantes, tanto desde un punto de vista teórico como práctico, de las matemáticas
aplicadas, así como también ...
[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 ...
Penkova Vassileva, María(Universitat Politècnica de València, 2011-11-11)
El problema de la resolución de ecuaciones y sistemas de ecuaciones no lineales figura entre los más importantes en la teoría y la práctica, no sólo de las matemáticas aplicadas, sino también de muchas ramas de las ciencias, ...
Candelario Villalona, Giro Guillermo(Universitat Politècnica de València, 2023-06-16)
[ES] El cálculo fraccionario es una extensión del cálculo clásico, donde el orden de las derivadas o integrales es un número real. Hoy en día, el cálculo fraccionario tiene numerosas aplicaciones en ciencias e ingeniería. ...
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 ...
A new set of predictor-corrector iterative methods with increasing order of convergence is proposed in order to estimate the solution of nonlinear systems. Our aim is to achieve high order of convergence with few Jacobian ...
Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María(Hindawi Publishing Corporation, 2014)
A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical ...
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 ...