on multivariate polynomial matrix factorization problems

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	on multivariate polynomial matrix factorization problems
	Wang MS ; Kwong CP
刊名	MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
	2005
卷号	17 期号:4 页码:297-311
关键词	multidimensional systems multivariate polynomial matrices zero left prime minor left prime reduced minors matrix factorizations
ISSN号	0932-4194
学科主题	Automation & Control Systems; Engineering, Electrical & Electronic; Mathematics, Interdisciplinary Applications
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000232721900003
公开日期	2011-07-28
附注	This paper studies the multivariate polynomial matrix factorization problems which have applications to multidimensional systems theory and signal processing. We first extract an algorithm from Pommarets proof of the Lin-Bose conjecture. Then we simplify our algorithm, and prove a theorem which gives a sufficient and necessary condition for a multivariate polynomial matrix to have an minor left prime (MLP) factorization. Examples are given to illustrate the effectiveness of this algorithm. Our results hold for any coefficient field and thus have a wide range of applications.
内容类型	期刊论文
源URL	[http://124.16.136.157/handle/311060/12466]
专题	软件研究所_软件所图书馆_期刊论文
推荐引用方式 GB/T 7714	Wang MS,Kwong CP. on multivariate polynomial matrix factorization problems[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS,2005,17(4):297-311.
APA	Wang MS,&Kwong CP.(2005).on multivariate polynomial matrix factorization problems.MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS,17(4),297-311.
MLA	Wang MS,et al."on multivariate polynomial matrix factorization problems".MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 17.4(2005):297-311.