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| on lin-bose problem | |
| Wang MS; Feng Dengguo | |
| 2004 | |
| Source | Linear Algebra and Its Applications
 |
| Volume | 390Issue:1-3 |
| English Abstract | 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. |
| Indexed Type | SCI ; EI |
| Keyword | Polynomial Ring Multivariate Polynomial Matrix Lin–bose Problem Matrix Factorization Multidimensional Systems |
| Department | 信息安全 |
| Language | 英语 |
| WOS ID | WOS:000223949700018 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/767 |
| Collection | 信息安全国家重点实验室 |
| Recommended Citation 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). |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| lin-bose-problem.pdf（177KB） | 开放获取 | -- | Application Full Text | |||
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