Computing a Separating Element for a Zero Dimensional Parametric Algebraic Variety

摘要：

This paper presents an efficient algorithm for computing a separating element of a zero dimensional parametric algebraic variety. By converting the computations on rational function filed into computations on the base filed, we reduce the problem to finding a separating element for a zero dimensional algebraic variety without parameters. Thus, the computational complexity is reduced efficiently. The algorithm has been implemented and the examples reported in this paper show the algorithm is of practical value.

关键词： quasi-Grobner basis maximally independent set extension ideal separating element

作者: Chang Tan Jun Cao Xiuhuan Ding

作者单位: College of Science , Northeast Forestry University, Harbin, China Forestry Engineering Mobile Statio College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin, China Physics & Information Science , Zhejiang Ocean University, Hangzhou, China

会议类型: 国际会议

会议名称: 2012 4th International Conference on Intelligent Human-Machine Systems and Cybernetics 第4届智能人机系统与控制论国际会议 IHMSC 2012

会议地点: 南昌

会议语种:英文

页码: 644-647

在线出版日期: 2012-08-26（万方平台首次上网日期，不代表论文的发表时间）