Solving the nonlinear equations by the Newton-homotopy continuation method with adjustable auxiliary homotopy function

被引：26
|
作者：
Wu, TM [1 ]
机构：
[1] Far E Coll, Dept Mech Engn, Tainan 744, Taiwan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 173卷 / 01期
关键词：
numerical method; Newton-Raphson method; homotopy continuation method;
D O I：
10.1016/j.amc.2005.04.095
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the concept of adjustable auxiliary homotopy function for the Newton-homotopy continuation method is presented. By means of adjusting the auxiliary function, we can solve the nonlinear equations and guarantee the solutions exactly without divergence rather than the traditional numerical methods such as the Newton-Raphson method and so on. (c) 2005 Elsevier Inc. All rights reserved.
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页码：383 / 388
页数：6
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