混沌映射牛顿迭代法及其在机构运动学综合中的应用

Many questions in natural science and engineering are transformed into nonlinear equations to be found, Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time,...

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Bibliographic Details
Main Authors: 罗佑新, 李晓蜂, 廖德岗
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2007-01-01
Series:Jixie chuandong
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2007.02.011
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Summary:Many questions in natural science and engineering are transformed into nonlinear equations to be found, Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time, a new method to find all solutions based on utilizing chaos mapping xn+1=sin(2/xn) to obtain locate initial points to find all solutions of the nonlinear questions is proposed. The numerical examples in linkage synthesis show that the method is effective.
ISSN:1004-2539