Notes on n-D polynomial matrix factorizations

被引：42
|
作者：
Lin, ZP
机构：
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
[2] DSO Natl Labs, Singapore, Singapore
来源：
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 1999年 / 10卷 / 04期
关键词：
n-D systems; n-D polynomial matrices; matrix factorizations; reduced minors; Grobner bases; Quillen-Suslin theorem;
D O I：
10.1023/A:1008427830183
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper discusses a relationship between the prime factorizability of a normal full rank n-D (n>2) polynomial matrix and its reduced minors. Two conjectures regarding the n-D polynomial matrix prime factorization problem are posed, and a partial solution to one of the conjectures is provided. Another related open problem of factorizing an n-D polynomial matrix that is not of normal full rank as a product of two n-D polynomial matrices of smaller size is also considered, and a partial solution to this problem is presented. An illustrative example is worked out in details.
引用
收藏
页码：379 / 393
页数：15
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