Mean-based iterative methods for finding multiple roots in nonlinear chemistry problems

被引：0
作者：
Dejan Ćebić
Nebojša M. Ralević
机构：
[1] University of Belgrade,Faculty of Mining and Geology
[2] University of Novi Sad,Faculty of Technical Sciences
来源：
Journal of Mathematical Chemistry | 2021年 / 59卷
关键词：
Nonlinear equations; Mean-based methods; Multiple roots; Basins of attraction; Chemical applications; 65H05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This research deals with the problem of finding multiple roots of nonlinear equations. Not long ago, Chicharro et al. have derived an efficient class of optimal fourth-order methods for simple roots preserving the mean-based form of algorithms’ body structure. This paper suggests the generalized version of equally efficient methods capable to find multiple roots as well. The underlying theory related to the convergence has been established and proven, and theoretical results have been numerically verified through several chemical and academic examples for various means.
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页码：1498 / 1519
页数：21
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