| An algorithm for decomposing a polynomial system into normal ascending sets |
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| 引用本文： | Ding-kang WANG~ Yan ZHANG Key Laboratory of Mathematics Mechanization,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China. An algorithm for decomposing a polynomial system into normal ascending sets[J]. 中国科学A辑(英文版), 2007, 50(10): 1441-1450. DOI: 10.1007/s11425-007-0118-0 |
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| 作者姓名： | Ding-kang WANG~ Yan ZHANG Key Laboratory of Mathematics Mechanization Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China |
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| 作者单位： | Ding-kang WANG~ Yan ZHANG Key Laboratory of Mathematics Mechanization，Academy of Mathematics and Systems Science，Chinese Academy of Sciences，Beijing 100080，China |
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| 摘 要： | We present an algorithm to decompose a polynomial system into a finite set of normal ascending sets such that the set of the zeros of the polynomial system is the union of the sets of the regular zeros of the normal ascending sets.If the polynomial system is zero dimensional,the set of the zeros of the polynomials is the union of the sets of the zeros of the normal ascending sets.
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| 收稿时间： | 2006-08-04 |
| 修稿时间： | 2007-04-16 |
An algorithm for decomposing a polynomial system into normal ascending sets |
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| Ding-kang Wang,Yan Zhang. An algorithm for decomposing a polynomial system into normal ascending sets[J]. Science in China(Mathematics), 2007, 50(10): 1441-1450. DOI: 10.1007/s11425-007-0118-0 |
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| Authors: | Ding-kang Wang Yan Zhang |
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| Affiliation: | Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | We present an algorithm to decompose a polynomial system into a finite set of normal ascending sets such that the set of the zeros of the polynomial system is the union of the sets of the regular zeros of the normal ascending sets.If the polynomial system is zero dimensional,the set of the zeros of the polynomials is the union of the sets of the zeros of the normal ascending sets. |
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| Keywords: | zero decomposition normal ascending set polynomial system |
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