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Title:
on lin-bose problem
Author: Wang MS ; Feng Dengguo
Keyword: Polynomial ring ; Multivariate polynomial matrix ; Lin–Bose problem ; Matrix factorization ; Multidimensional systems
Source: Linear Algebra and Its Applications
Issued Date: 2004
Volume: 390, Issue:1-3
Indexed Type: SCI ; EI
Department: 信息安全
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.
Language: 英语
WOS ID: WOS:000223949700018
Citation statistics:
Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/767
Appears in Collections:信息安全国家重点实验室_期刊论文

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Recommended Citation:
Wang MS,Feng Dengguo. on lin-bose problem[J]. Linear Algebra and Its Applications,2004-01-01,390(1-3).
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