特征列、Grbner基和良性基方法的实施、比较和改进

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特征列、Grbner基和良性基方法的实施、比较和改进

李兆丽，丰晓*

济宁医学院, 山东济宁 72013

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 李兆丽

Implementation, comparison and improvement of the methods of characteristic set, Grbner bases and well-behaved bases

LI Zhao-li， FENG Xiao*

Jining Medical College, Jining 272013, Shandong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LI Zhao-li

摘要/Abstract

摘要： 对良性基方法和微分特征列方法进行算法化,然后把这种方法在MAPLE中实现并和软件中的Grbner方法进行比较。

关键词: Gro¨bner基, 微分特征列 , 良性基

Abstract: The algorithmization of the methods of well-behaved bases and differential characteristic sets was given. Some experiments were put forth to give the comparison of the methods of well-behaved bases and Gro¨bner bases. For computing differential characteristic sets, the method can improve the algorithm for computing the passive auto-reduced sets by detecting unnecessary computations in the process.

Key words: differential characteristic sets , well-behaved bases, Gro¨bner bases

中图分类号:

O151.1

李兆丽,丰晓* . 特征列、Grbner基和良性基方法的实施、比较和改进[J]. J4, 2008, 43(4): 89-96 .

LI Zhao-li,FENG Xiao* . Implementation, comparison and improvement of the methods of characteristic set, Grbner bases and well-behaved bases[J]. J4, 2008, 43(4): 89-96 .

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