On factor left prime factorization problems for multivariate polynomial matrices
文献类型：期刊论文
| 作者 | Lu, Dong1,2; Wang, Dingkang3,4; Xiao, Fanghui5 |
| 刊名 | MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING
 |
| 出版日期 | 2021-02-25 |
| 页码 | 18 |
| 关键词 | Multivariate polynomial matrices Matrix factorizations Factor left prime (FLP) Column reduced minors Free modules |
| ISSN号 | 0923-6082 |
| DOI | 10.1007/s11045-021-00768-x |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000621711400001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58248]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。