吴消元法和吴微分特征列法在Lagrange系统中的应用  

The Application of Wu Elimination Method and Wu Differential Characteristic Set Method to Lagrange System

作　　者：贾屹峰[1] 陈玉福[1] 许志强[2] 

机构地区：[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

出　　处：《中国科学院研究生院学报》2006年第6期721-728,共8页Journal of the Graduate School of the Chinese Academy of Sciences

基　　金：国家自然科学基金项目(10401021);中国科学院数学机械化重点实验室开放课题(KLMM0608)资助

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这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.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.

关 键 词：LAGRANGE系统 约束 特征列 HESSIAN矩阵 

分 类 号：O313.2[理学—一般力学与力学基础]