A modified Newton-Raphson method

被引：16
作者：
He, JH [1 ]
机构：
[1] Shanghai Donghua Univ, Coll Basic Sci, Shanghai 200051, Peoples R China
来源：
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2004年 / 20卷 / 10期
关键词：
Newton-Raphson iteration method; non-linear equations; Lagrange multiplier;
D O I：
10.1002/cnm.664
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we propose the following modified Newton-Raphson iteration formulation: [GRAPHICS] In case r = 1, the obtained formulation reduces to the Newton-Raphson formulation. The present technique circumvent pitfalls of the Newton-Raphson iteration method. Some examples are illustrated. Copyright (C) 2004 John Wiley Sons, Ltd.
引用
收藏
页码：801 / 805
页数：5
相关论文
共 9 条
[1]  
[Anonymous], INT J NONLINEAR SCI
[2]  
Chapra SC., 2000, NUMERICAL METHODS EN
[3]  
Crisfield MA., 1997, ADV TOPICS, V2
[4]  
CRISFIELD MA, 1991, NONLINEAR FINITE EL, V1
[5]   A NONMONOTONE LINE SEARCH TECHNIQUE FOR NEWTON METHOD [J].
GRIPPO, L ;
LAMPARIELLO, F ;
LUCIDI, S .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1986, 23 (04) :707-716
[6]  
He J. H., 2000, INT J NONLIN SCI NUM, V1, P51, DOI DOI 10.1515/IJNSNS.2000.1.1.51
[7]   Variational iteration method - a kind of non-linear analytical technique: Some examples [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708
[8]   A coupling method of a homotopy technique and a perturbation technique for non-linear problems [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2000, 35 (01) :37-43
[9]  
Inokuti M., 1978, Variational Method in the Mechanics of Solids, V33, P156
1