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Chaos in Solving Polynomial Systems for Computational Kinematics by Newton-Raphson Method

西南交通大学学报(英文版)2000，Vol.8Issue(2)：123-128,6.

Chaos in Solving Polynomial Systems for Computational Kinematics by Newton-Raphson Method

作者信息

1. School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031 ,China;School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031 ,China
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摘要

Abstract

Problems in mechanism analysis and synthesis and robotics lead naturally to systemsof nonlinear equations. In this paper, an approach based on Newton Raphson method and theproperty of fractals is presented to obtaining all roots of equation. An example from planemechanism synthesis is given to demonstrate the idea of the method.

关键词

chaos/computational kinematics/Newton-Raphson method

Key words

chaos/computational kinematics/Newton-Raphson method

分类

数理科学

引用本文复制引用

..Chaos in Solving Polynomial Systems for Computational Kinematics by Newton-Raphson Method[J].西南交通大学学报(英文版),2000,8(2):123-128,6.

基金项目

Supported by the National Natural Science Foundation of China( No. 59975077 ) and the ScienceFoundation of SWJTU ( No. 1999XM05). （ No. 59975077 ）

西南交通大学学报(英文版)

ISSN：2662-4745

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