Remarks on $n$ -D Polynomial Matrix Factorization Problems
Remarks on $n$ -D Polynomial Matrix Factorization Problems
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DOI：
10.1109/tcsii.2007.909866
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Mingsheng Wang
中科院分区：
文献类型：
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作者：
Mingsheng Wang
多维（n-D）多项式矩阵分解与多维系统和信号处理的许多问题密切相关。本文利用计算机代数的方法给出了n维多项式矩阵有次素分解的一个新结果。该结果可以被认为是在特殊限制下的先前准则的推广[IEEE Trans. Circuits Syst. II：Exp Briefs，vol.52，no.9（2005）]。用计算机代数软件系统Singular举例说明结果。
Multidimensional (n-D) polynomial matrix factorizations are intimately linked to many problems of multidimensional systems and signal processing. This paper gives a new result for a n-D polynomial matrix to have an minor prime factorization using methods from computer algebra. This result may be regarded as a generalization of a previous criterion under a special restriction [IEEE Trans. Circuits Syst. II: Exp Briefs, vol. 52, no. 9 (2005)]. Examples are given to illustrate results using computer algebra software system Singular.