On the effect of the multidimensional weight functions on the stability of iterative processes

被引：6
|
作者：
Chicharro, Francisco I. [1 ]
Cordero, Alicia [2 ]
Garrido, Neus [1 ]
Torregrosa, Juan R. [2 ]
机构：
[1] Univ Int Rioja, Escuela Super Ingn & Tecnol, Logrono, Spain
[2] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2022年 / 405卷
关键词：
Nonlinear systems; Real multidimensional dynamics; Stability; Basin of attraction; SOLVING NONLINEAR-SYSTEMS; FAMILIES;
D O I：
10.1016/j.cam.2020.113052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we start from a family of iterative methods for solving nonlinear multidimensional problems, designed using the inclusion of a weight function on its iterative expression. A deep dynamical study of the family is carried out on polynomial systems by selecting different weight functions and comparing the results obtained in each case. This study shows the applicability of the multidimensional dynamical analysis in order to select the methods of the family with the best stability properties. (c) 2020 Elsevier B.V. All rights reserved.
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页数：15
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