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| 吴消元法和吴微分特征列法在 Lagrange系统中的应用 | |
| 引用本文： | 贾屹峰,陈玉福,许志强.吴消元法和吴微分特征列法在 Lagrange系统中的应用[J].中国科学院研究生院学报,2006,23(6):721-728. |
| 作者姓名： | 贾屹峰 陈玉福 许志强 |
| 作者单位： | 1. 中国科学院研究生院数学系,北京,100049 2. 中国科学院系统科学与数学研究院,北京,100080 |
| 基金项目： | 国家自然科学基金;中国科学院重点实验室基金 |
| 摘 要： | 系统地分析了有限维动力学中多项式类型的Lagrange函数所可能出现的四种情况, 并利用吴消元法和吴微分特征列法给出了判断折四种情况的两个算法. 利用这两个算法, 不用计算Hessian的秩, 就可以判别Euler-Lagrange方程是哪一种, 并得到相应的结果. 利用符号计算软件, 两个算法可以在计算机上实现. |
| 关 键 词： | Lagrange系统 约束 特征列 Hessian矩阵 |
| 文章编号： | 1002-1175(2006)06-0721-08 |
| 修稿时间： | 2006年3月22日 |
The Application of Wu Elimination Method and Wu Differential Characteristic Set Method to Lagrange System |
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| JIA Yi-Feng,CHEN Yu-Fu,XU Zhi-Qiang.The Application of Wu Elimination Method and Wu Differential Characteristic Set Method to Lagrange System[J].Journal of the Graduate School of the Chinese Academy of Sciences,2006,23(6):721-728. | |
| Authors: | JIA Yi-Feng CHEN Yu-Fu XU Zhi-Qiang |
| Institution: | 1 Department of Mathematics, Graduate University of Chinese Academy of Sciences , Beijing, 100049; 2 Academy of Mathematics and Systems Science, Chinese Academy of Sciences |
| Abstract: | In this paper,the polynomial type Lagrange equation of finite dimensional constrained dynamics is considered,and four possibilities of Euler-Lagrange equations possibilities are analysed.Based on Wu elimination method and Wu differential characteristic set method,two algorithms are presented for determining the four possibilities.Using the two algorithms,without calculating the rank of Hessian matrix,which case of the four possibilities of the Euler-Lagrange equations is determined,and the corresponding results are obtained.On the symbolic computation software platform,the two algorithms can be executed in computers. |
| Keywords: | Lagrange system constraint characteristic set Hessian matrix |
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