An Efficient Derivative-Free Method for the Solution of Systems of Equations

被引：6

作者：

Chun, Changbum ^{[1
]}

Neta, Beny ^{[2
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon, South Korea

[2] Naval Postgrad Sch, Dept Appl Math, Monterey, CA 93943 USA

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2021年 / 42卷 / 07期

基金：

新加坡国家研究基金会;

关键词：

Derivative free methods; divided differences; iterative method; Steffensen's method; systems of nonlinear equations; SOLVING SYSTEMS; ITERATIVE METHODS; ORDER; CONVERGENCE; FAMILY; MEMORY; 4TH;

D O I：

10.1080/01630563.2021.1931313

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We have modified our previously developed fourth order method to approximate solution of systems of equations including non-differentiable ones. The most recent article by Kumar et al. (Numer. Algor. 86:1051-1070, 2021) compared fourth order and seventh order methods to show the efficiency of their fourth order. We have shown that our method compares favorably with methods in the literature.

引用

页码：834 / 848

页数：15

共 24 条

[21] Efficient Jarratt-like methods for solving systems of nonlinear equations
Sharma, Janak Raj
Arora, Himani
[J]. CALCOLO, 2014, 51 (01) : 193 - 210
[22] AN EFFICIENT DERIVATIVE FREE ITERATIVE METHOD FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS
Sharma, Janak Raj
Arora, Himani
[J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2013, 7 (02) : 390 - 403
[23] Steffensen JF, 1933, SKAND AKTUARIETIDSKR, V16, P64
[24] Traub J.F., 1982, Iterative Methods for the Solution of Equations

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