Modify Newton Method to Solve Nonlinear Equations by Using Decay Method

被引：0

作者：

Allame, Masoud ^{[1
]}

Hadi-vinch, Abdoallah ^{[1
]}

Vatankhahan, Behnaz ^{[1
]}

机构：

[1] Islamic Azad Univ, Khorasgan Branch, Replace Dept Math, Esfahan, Iran

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷

关键词：

Newton method; Iteration method; Nonlinear equation; Decay method;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we will modify Newton method to solve nonlinear equations by another iteration method, say x=g(x), and using decay method. We will present some conditions of g(x) which our method will be performance.

引用

页码：660 / 662

页数：3

共 50 条

[41] THE SCHWARZIAN-NEWTON METHOD FOR SOLVING NONLINEAR EQUATIONS, WITH APPLICATIONS
Segura, Javier
MATHEMATICS OF COMPUTATION, 2017, 86 (304) : 865 - 879
[42] Newton Generalized Hessenberg method for solving nonlinear systems of equations
M. Heyouni
Numerical Algorithms, 1999, 21 : 225 - 246
[43] Multistep Newton-Picard Method for Nonlinear Differential Equations
Wang, Yinkun
Ni, Guyan
Liu, Yicheng
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2020, 43 (11) : 2148 - 2155
[44] Modified Newton–SHSS method for a class of systems of nonlinear equations
Fang Xie
Qing-Biao Wu
Ping-Fei Dai
Computational and Applied Mathematics, 2019, 38
[45] A new Newton-like method for solving nonlinear equations
Saheya, B.
Chen, Guo-qing
Sui, Yun-kang
Wu, Cai-ying
SPRINGERPLUS, 2016, 5
[46] Finite Difference Newton's method for systems of nonlinear equations
Weerakoon, S
Amarasekera, HKGD
MATHEMATICAL ENGINEERING IN INDUSTRY, 1999, 7 (04) : 433 - 440
[47] A hybrid Newton-GMRES method for solving nonlinear equations
Bellavia, S
Macconi, M
Morini, B
NUMERICAL ANALYSIS AND ITS APPLICATIONS, 2001, 1988 : 68 - 75
[48] A new smoothing Newton method for solving constrained nonlinear equations
Yang, Liu
Chen, Yanping
Tong, Xiaojiao
Deng, Chunlin
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (24) : 9855 - 9863
[49] Introduction to a Newton-type method for solving nonlinear equations
Thukral, R.
APPLIED MATHEMATICS AND COMPUTATION, 2008, 195 (02) : 663 - 668
[50] Quantum Newton's Method for Solving the System of Nonlinear Equations
Xue, Cheng
Wu, Yuchun
Guo, Guoping
SPIN, 2021, 11 (03)

← 1 2 3 4 5 →