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

页码：61 / 64

页数：4

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