On minor prime factorizations for n-D polynomial matrices
On minor prime factorizations for n-D polynomial matrices
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DOI：
10.1109/tcsii.2005.850516
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发表时间：
2005-09
期刊：
影响因子：
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通讯作者：
Zhiping Lin;Li Xu;Huijin Fan
中科院分区：
文献类型：
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作者：
Zhiping Lin;Li Xu;Huijin Fan
给出了一类多维（n-D）（n>2）多项式矩阵的次素分解存在性的一个易处理的判别准则，该矩阵的约化子式和最大公因子都有一些公共零点.我们还提出了一个建设性的方法进行时，他们存在的小素分解。通过一个可逆变量变换，将该方法推广到更大类的n维多项式矩阵。最后给出了三个算例，验证了该方法的有效性.
A tractable criterion is presented for the existence of minor prime factorizations for a class of multidimensional (n-D) (n>2) polynomial matrices whose reduced minors and greatest common divisors have some common zeros. We also present a constructive method for carrying out the minor prime factorizations when they exist. The proposed method is further extended to a larger class of n-D polynomial matrices by an invertible variable transformation. Three illustrative examples are given to show the effectiveness of the proposed method.