New improved convergence analysis for Newton-like methods with applications
Magreñán, Á. Alberto (1)
Argyros, Ioannis K
Sicilia, Juan Antonio (1)
Tipo de Ítem:Articulo Revista Indexada
We present a new semilocal convergence analysis for Newton-like methods using restricted convergence domains in a Banach space setting. The main goal of this study is to expand the applicability of these methods in cases not covered in earlier studies. The advantages of our approach include, under the same computational cost as previous studies, a more precise convergence analysis under the same computational cost on the Lipschitz constants involved. Numerical studies including a chemical application are also provided in this study.
Este ítem aparece en la(s) siguiente(s) colección(es)
Mostrando ítems relacionados por Título, autor o materia.
Argyros, Ioannis K; Legaz, M. J.; Magreñán, Á. Alberto; Moreno, D.; Sicilia, Juan Antonio (1) (Journal of Mathematical Chemistry, 05/2019)We present local convergence results for inexact iterative procedures of high convergence order in a normed space in order to approximate a locally unique solution. The hypotheses involve only Lipschitz conditions on the ...
Argyros, Ioannis K; Magreñán, Á. Alberto (1); Orcos, Lara (1); Sicilia, Juan Antonio (1) (Journal of Mathematical Chemistry, 08/2017)We present a local convergence analysis for a relaxed two-step Newton-like method. We use this method to approximate a solution of a nonlinear equation in a Banach space setting. Hypotheses on the first Fr,chet derivative ...
Argyros, Ioannis K; Magreñán, Á. Alberto (1); Sicilia, Juan Antonio (1) (Journal of Computational and Applied Mathematics, 07/2017)We present a new technique to improve the convergence domain for Newton’s method both in the semilocal and local case. It turns out that with the new technique the sufficient convergence conditions for Newton’s method are ...