KMS Of Academy of mathematics and systems sciences, CAS
On factor left prime factorization problems for multivariate polynomial matrices | |
Lu, Dong1,2; Wang, Dingkang3,4; Xiao, Fanghui5 | |
2021-02-25 | |
Source Publication | MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING |
ISSN | 0923-6082 |
Pages | 18 |
Abstract | 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. |
Keyword | Multivariate polynomial matrices Matrix factorizations Factor left prime (FLP) Column reduced minors Free modules |
DOI | 10.1007/s11045-021-00768-x |
Indexed By | SCI |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[12001030] ; CAS Key Project[QYZDJ-SSW-SYS022] ; National Key Research and Development Project[2020YFA0712300] |
WOS Research Area | Computer Science ; Engineering |
WOS Subject | Computer Science, Theory & Methods ; Engineering, Electrical & Electronic |
WOS ID | WOS:000621711400001 |
Publisher | SPRINGER |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58249 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Xiao, Fanghui |
Affiliation | 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 |
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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