A new fourth-order family for solving nonlinear problems and its dynamics

被引：0
|
作者：
Alicia Cordero
Licheng Feng
Alberto Magreñán
Juan R. Torregrosa
机构：
[1] Universitat Politècnica de València,Instituto de Matemáticas Multidisciplinar
[2] Northwestern Polytechnical University,Dpto. Ordenación Académica
[3] Universidad Internacional de La Rioja,undefined
来源：
Journal of Mathematical Chemistry | 2015年 / 53卷
关键词：
Nonlinear systems; Iterative methods; Complex dynamics; Parameter space; Basins of attraction; Stability; 65H05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made in order to choose those elements of the family with better conditions of stability. These results are checked by solving the nonlinear system that arises from the partial differential equation of molecular interaction.
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页码：893 / 910
页数：17
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