Iterative schemes for finding all roots simultaneously of nonlinear equations

被引：9
作者：
Cordero, Alicia [1 ]
Garrido, Neus [2 ]
Torregrosa, Juan R. [1 ]
Triguero-Navarro, Paula [1 ]
机构：
[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia, Spain
[2] Univ Int Rioja, Escuela Super Ingn & Tecnol, Logrono, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 134卷
关键词：
Iterative methods; Nonlinear equations; Simultaneous roots; Memory schemes; Ehrlich method; Dynamical plane; SIMULTANEOUS APPROXIMATION; CONVERGENCE;
D O I：
10.1016/j.aml.2022.108325
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a procedure that can be added to any iterative scheme in order to turn it into an iterative method for approximating all roots simultaneously of any nonlinear equations. By applying this procedure to any iterative method of order p, we obtain a new scheme of order of convergence 2p. Some numerical tests allow us to confirm the theoretical results and to compare the proposed schemes with other known methods for simultaneous roots of polynomial and non-polynomial functions. (C) 2022 The Authors. Published by Elsevier Ltd.
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页数：7
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