A simple yet efficient two-step fifth-order weighted-Newton method for nonlinear models

被引：15

作者：

Singh, Harmandeep ^{[1
]}

Sharma, Janak Raj ^{[1
]}

Kumar, Sunil ^{[2
]}

机构：

[1] St Longowal Inst Engn & Technol, Dept Math, Longowal 148106, Punjab, India

[2] Amrita Vishwa Vidyapeetham, Amrita Sch Engn, Dept Math, Chennai 601103, Tamil Nadu, India

来源：

NUMERICAL ALGORITHMS | 2023年 / 93卷 / 01期

关键词：

System of nonlinear equations; Iterative methods; Convergence; Computational efficiency; SOLVING SYSTEMS; ITERATIVE METHODS; CONVERGENCE; ORDER;

D O I：

10.1007/s11075-022-01412-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An iterative method with fifth order of convergence for solving nonlinear systems is formulated and analyzed. Primary goal of the development of method is to keep the both, convergence order and computational efficiency, as high as possible. Both of these factors are investigated thoroughly in theoretical as well as numerical manner. Comparison with the existing iterative methods of similar order is carried out to examine the performance of method. Numerical testing clearly indicates the high degree of precision and efficiency of the new method.

引用

页码：203 / 225

页数：23

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