An algorithm for decomposing a polynomial system into normal ascending sets
An algorithm for decomposing a polynomial system into normal ascending sets
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DOI：
10.1007/s11425-007-0118-0
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发表时间：
2007-07
期刊：
影响因子：
--
通讯作者：
Dingkang Wang;Yan Zhang
中科院分区：
文献类型：
--
作者：
Dingkang Wang;Yan Zhang
给出了一个将多项式系统分解为有限个正规升集的算法，使得多项式系统的零点集是正规升集的正则零点集的并.如果多项式系统是零维的，则多项式的零点集是正常升集的零点集的并集。
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.