First optimal vectorial eighth-order iterative scheme for solving non-linear systems

被引：0
|
作者：
Cordero, Alicia [1 ]
Torregrosa, Juan R. [1 ]
Triguero-Navarro, Paula [1 ]
机构：
[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2025年 / 498卷
基金：
欧洲研究理事会;
关键词：
Iterative procedures; Non-linear equations and systems; Optimal non-scalar method;
D O I：
10.1016/j.amc.2025.129401
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a novel iterative method achieving eighth-order convergence, establishing its optimality for solving non-linear systems. A rigorous analysis of convergence order is presented, complemented by investigations into both efficiency indices and the complex dynamics of the proposed method. To assess its performance, extensive numerical experiments are conducted, facilitating comparative analysis with established methods from the literature.
引用
收藏
页数：15
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