On factor left prime factorization problems for multivariate polynomial matrices

doi:10.1007/s11045-021-00768-x

CSpace

	On factor left prime factorization problems for multivariate polynomial matrices
	Lu, Dong 1,2; Wang, Dingkang 3,4; Xiao, Fanghui 5
	2021-02-25
发表期刊	MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING
ISSN	0923-6082
页码	18
摘要	This paper is concerned with factor left prime factorization problems for multivariate polynomial matrices without full row rank. We propose a necessary and sufficient condition for the existence of factor left prime factorizations of a class of multivariate polynomial matrices, and then design an algorithm to compute all factor left prime factorizations if they exist. We implement the algorithm on the computer algebra system Maple, and two examples are given to illustrate the effectiveness of the algorithm. The results presented in this paper are also true for the existence of factor right prime factorizations of multivariate polynomial matrices without full column rank.
关键词	Multivariate polynomial matrices Matrix factorizations Factor left prime (FLP) Column reduced minors Free modules
DOI	10.1007/s11045-021-00768-x
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[12001030] ; CAS Key Project[QYZDJ-SSW-SYS022] ; National Key Research and Development Project[2020YFA0712300]
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS记录号	WOS:000621711400001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58249
专题	中国科学院数学与系统科学研究院
通讯作者	Xiao, Fanghui
作者单位	1.Beihang Univ, Beijing Adv Innovat Ctr Big Data & Brain Comp, Beijing 100191, Peoples R China 2.Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Peoples R China
推荐引用方式 GB/T 7714	Lu, Dong,Wang, Dingkang,Xiao, Fanghui. On factor left prime factorization problems for multivariate polynomial matrices[J]. MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING,2021:18.
APA	Lu, Dong,Wang, Dingkang,&Xiao, Fanghui.(2021).On factor left prime factorization problems for multivariate polynomial matrices.MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING,18.
MLA	Lu, Dong,et al."On factor left prime factorization problems for multivariate polynomial matrices".MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING (2021):18.