| on lin-bose problem |
| Wang MS; Feng Dengguo
|
| 2004
|
| 发表期刊 | Linear Algebra and Its Applications
 |
| 卷号 | 390期号:1-3 |
| 摘要 | This paper study generalized Serre problem proposed by Lin and Bose in multidimensional system theory context [Multidimens. Systems and Signal Process. 10 (1999) 379; Linear Algebra Appl. 338 (2001) 125]. This problem is stated as follows. Let F ∈ Al×m be a full row rank matrix, and d be the greatest common divisor of all the l × l minors of F. Assume that the reduced minors of F generate the unit ideal, where A = K[x 1,...,xn] is the polynomial ring in n variables x 1,...,xn over any coefficient field K. Then there exist matrices G ∈ Al×l and F1 ∈ A l×m such that F = GF1 with det G = d and F 1 is a ZLP matrix. We provide an elementary proof to this problem, and treat non-full rank case. |
| 收录类别 | SCI
; EI
|
| 关键词 | Polynomial Ring
Multivariate Polynomial Matrix
Lin–bose Problem
Matrix Factorization
Multidimensional Systems
|
| 部门归属 | 信息安全
|
| 语种 | 英语
|
| WOS记录号 | WOS:000223949700018
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| 引用统计 |
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| 内容类型 | 期刊论文
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| URI标识 | http://ir.iscas.ac.cn/handle/311060/767
|
| 专题 | 信息安全国家重点实验室
|
推荐引用方式
GB/T 7714 |
Wang MS,Feng Dengguo. on lin-bose problem[J]. Linear Algebra and Its Applications,2004,390(1-3).
|
| APA |
Wang MS,&Feng Dengguo.(2004).on lin-bose problem.Linear Algebra and Its Applications,390(1-3).
|
| MLA |
Wang MS,et al."on lin-bose problem".Linear Algebra and Its Applications 390.1-3(2004).
|
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