Remarks on n-D polynomial matrix factorization problems

被引：18
|
作者：
Wang, Mingsheng [1 ]
机构：
[1] Chinese Acad Sci, Inst Software, State Key Lab Informat Secur, Beijing 100080, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2008年 / 55卷 / 01期
基金：
中国国家自然科学基金;
关键词：
matrix factorizations; minor primeness; multidimensional (n-D) systems; n-D polynomial matrices; polynomial ring;
D O I：
10.1109/TCSII.2007.909866
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
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.
引用
收藏
页码：61 / 64
页数：4
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