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On factor left prime factorization problems for multivariate polynomial matrices
Lu, Dong1,2; Wang, Dingkang3,4; Xiao, Fanghui5
2021-02-25
Source PublicationMULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING
ISSN0923-6082
Pages18
AbstractThis 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.
KeywordMultivariate polynomial matrices Matrix factorizations Factor left prime (FLP) Column reduced minors Free modules
DOI10.1007/s11045-021-00768-x
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[12001030] ; CAS Key Project[QYZDJ-SSW-SYS022] ; National Key Research and Development Project[2020YFA0712300]
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS IDWOS:000621711400001
PublisherSPRINGER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58249
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXiao, Fanghui
Affiliation1.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
Recommended Citation
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.
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