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An algorithm for decomposing a polynomial system into normal ascending sets 被引量:1

An algorithm for decomposing a polynomial system into normal ascending sets
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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. 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.
出处 《Science China Mathematics》 SCIE 2007年第10期1441-1450,共10页 中国科学:数学(英文版)
基金 This work was partially supported by the National Key Basic Research Project of China(Grant No.2004CB31800)
关键词 ZERO decomposition NORMAL ascending set POLYNOMIAL system zero decomposition normal ascending set polynomial system
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