New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices
文献类型：期刊论文
| 作者 | Lu, Dong1,2; Wang, Dingkang3,4; Xiao, Fanghui5 |
| 刊名 | JOURNAL OF SYMBOLIC COMPUTATION
 |
| 出版日期 | 2023-03-01 |
| 卷号 | 115页码:266-284 |
| ISSN号 | 0747-7171 |
| 关键词 | Multivariate polynomial matrices Matrix factorization Matrix equivalence Column reduced minors Gr?bner basis |
| DOI | 10.1016/j.jsc.2022.07.005 |
| 英文摘要 | This paper is concerned with the factorization and equivalence problems of multivariate polynomial matrices. We present some new criteria for the existence of matrix factorizations for a class of multivariate polynomial matrices, and obtain a necessary and sufficient condition for the equivalence of a square polynomial matrix and a diagonal matrix. Based on the constructive proof of the new criteria, we give a factorization algorithm and prove the uniqueness of the factorization. We implement the algorithm on Maple, and two illustrative examples are given to show the effectiveness of the algorithm. (c) 2022 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[12001030] ; National Natural Science Foundation of China[12171469] ; CAS Key Project[QYZDJ-SSW-SYS022] ; National Key Research and Development Project[2020YFA0712300] |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| WOS记录号 | WOS:000860188200012 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60941]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lu, Dong |
| 作者单位 | 1.Southwest Jiaotong Univ, Sch Math, Chengdu 610031, 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, LCSM, MOE, Changsha 410081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu, Dong,Wang, Dingkang,Xiao, Fanghui. New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices[J]. JOURNAL OF SYMBOLIC COMPUTATION,2023,115:266-284. |
| APA | Lu, Dong,Wang, Dingkang,&Xiao, Fanghui.(2023).New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices.JOURNAL OF SYMBOLIC COMPUTATION,115,266-284. |
| MLA | Lu, Dong,et al."New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices".JOURNAL OF SYMBOLIC COMPUTATION 115(2023):266-284. |
入库方式： OAI收割
来源：数学与系统科学研究院
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