特征列、Grbner基和良性基方法的实施、比较和改进 |
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引用本文: | 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].山东大学学报(理学版),2008,43(4):89-96. |
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作者姓名: | 李兆丽 丰 晓 |
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作者单位: | 济宁医学院,山东济宁272013 |
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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。
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关 键 词: | Gro¨bner基 良性基 微分特征列 |
Implementation, comparison and improvement of the methods of characteristic set, Grbner bases and well-behaved bases |
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Institution: | Jining Medical College, Jining 272013, Shandong, China |
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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. |
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Keywords: | Gro¨bner bases well-behaved bases differential characteristic sets |
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