A Homotopy Continuation Algorithm Based on Improving Path tracking and Application in the Mechanism Problems

doi:10.16578/j.issn.1004.2539.1997.02.001

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A Homotopy Continuation Algorithm Based on Improving Path tracking and Application in the Mechanism Problems

更新时间：2025-04-03

- A Homotopy Continuation Algorithm Based on Improving Path tracking and Application in the Mechanism Problems
- Issue 2, (1997)
- 作者机构：
  
  西南交通大学
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.1997.02.001
  CLC： TH112
- Published：1997
- 稿件说明：
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[1]孙平,严静,陈永.基于改进路径跟踪的同伦算法及在机构学中的应用[J].机械传动,1997(02):2-4+34+51.

A Homotopy Continuation Algorithm Based on Improving Path tracking and Application in the Mechanism Problems[J]. 1997, (2).
[1]孙平,严静,陈永.基于改进路径跟踪的同伦算法及在机构学中的应用[J].机械传动,1997(02):2-4+34+51. DOI： 10.16578/j.issn.1004.2539.1997.02.001.

A Homotopy Continuation Algorithm Based on Improving Path tracking and Application in the Mechanism Problems[J]. 1997, (2). DOI： 10.16578/j.issn.1004.2539.1997.02.001.

摘要

本文提出一种同伦（连续）法的基于改进路径跟踪的改进算法，该法有效地避免了现有路径跟踪方法在求解亏欠度方程组时易出现的漏解现象，从而保证了同伦（连续）法的有效应用。将改进算法应用于求解机构学问题的亏欠度方程组，取得了满意的结果。

Abstract

An improved homotopy continuation algorithm based on improving homotopy path tracking is proposed in this paper.The improved algorithm can avoid the phenomenon of resolution omission of present homotopy continuation method in solving deficient polynomial systems.The homotopy continuation method with the improved algorithm for path tracking has been used in solving the mechanism problems sucessfully.

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