on lin-bose problem
Data(s) |
2004
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Resumo |
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. |
Identificador | |
Idioma(s) |
英语 |
Fonte |
Wang MS; Feng Dengguo.on lin-bose problem,Linear Algebra and Its Applications,2004,390(1-3): |
Palavras-Chave | #Polynomial ring #Multivariate polynomial matrix #Lin–Bose problem #Matrix factorization #Multidimensional systems |
Tipo |
期刊论文 |