| An algorithm for decomposing a polynomial system into normal ascending sets |
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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 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： | 4 August 2006 |
| 修稿时间： | 16 April 2007 |
An algorithm for decomposing a polynomial system into normal ascending sets |
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| Ding-kang WANG Yan ZHANG Key Laboratory of Mathematics Mechanization,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing ,China.An algorithm for decomposing a polynomial system into normal ascending sets[J].Science in China(Mathematics),2007,50(10):1441-1450. |
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| Authors: | Ding-kang Wang Yan Zhang |
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| Institution: | 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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