Babajee, D.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2016). Study of iterative methods though the Cayley quadratic test. Journal of Computational and Applied Mathematics. 291:358-369. https://doi.org/10.1016/j.cam.2014.09.020
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/99985
Title:
|
Study of iterative methods though the Cayley quadratic test
|
Author:
|
Babajee, D.K.R.
Cordero Barbero, Alicia
Torregrosa Sánchez, Juan Ramón
|
UPV Unit:
|
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
|
Issued date:
|
|
Abstract:
|
[EN] Many iterative methods for solving nonlinear equations have been developed recently. The main advantage claimed by their authors is the improvement of the order of convergence. In this work, we compare their dynamical ...[+]
[EN] Many iterative methods for solving nonlinear equations have been developed recently. The main advantage claimed by their authors is the improvement of the order of convergence. In this work, we compare their dynamical behavior on quadratic polynomials with the one of Newton's scheme. This comparison is defined in what we call Cayley Quadratic Test (CQT) which can be used as a first test to check the efficiency of such methods. Moreover we make a brief insight in cubic polynomials. (C) 2014 Elsevier B.V. All rights reserved.
[-]
|
Subjects:
|
Iterative method
,
Order of convergence
,
Cayley Quadratic Test
,
Stability
,
Dynamical plane
|
Copyrigths:
|
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
|
Source:
|
Journal of Computational and Applied Mathematics. (issn:
0377-0427
)
|
DOI:
|
10.1016/j.cam.2014.09.020
|
Publisher:
|
Elsevier
|
Publisher version:
|
http://doi.org/10.1016/j.cam.2014.09.020
|
Project ID:
|
info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./
|
Thanks:
|
This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02.
|
Type:
|
Artículo
|