中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
Factorizations for a class of multivariate polynomial matrices

文献类型：期刊论文

作者Lu, Dong1,2; Wang, Dingkang3,4; Xiao, Fanghui3,4
刊名MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING
出版日期2020-07-01
卷号31期号:3页码:989-1004
关键词Multivariate polynomial matrices Matrix factorization Reduced minors Reduced Grobner basis
ISSN号0923-6082
DOI10.1007/s11045-019-00694-z
英文摘要This paper investigates how to factorize a class of multivariate polynomial matrices. We prove that an lxmmultivariate polynomial matrix admits a matrix factorization with respect to a given polynomial if the polynomial and all the (l-1)x(l-1) reduced minors of the matrix generate a unit ideal. This result is a generalization of a theorem in Liu et al. (Circuits Syst Signal Process 30(3):553-566, 2011). Based on three main theorems presented in the paper and a constructive algorithm proposed by Lin et al. (Circuits Syst Signal Process 20(6):601-618, 2001), we give an algorithm which can be used to factorize more multivariate polynomial matrices. In addition, an illustrative example is given to show the effectiveness of the proposed algorithm.
WOS研究方向Computer Science ; Engineering
语种英语
WOS记录号WOS:000536473300010
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/51513]  
专题中国科学院数学与系统科学研究院
通讯作者Wang, Dingkang
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
推荐引用方式
GB/T 7714		 Lu, Dong,Wang, Dingkang,Xiao, Fanghui. Factorizations for a class of multivariate polynomial matrices[J]. MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING,2020,31(3):989-1004.
APA Lu, Dong,Wang, Dingkang,&Xiao, Fanghui.(2020).Factorizations for a class of multivariate polynomial matrices.MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING,31(3),989-1004.
MLA Lu, Dong,et al."Factorizations for a class of multivariate polynomial matrices".MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING 31.3(2020):989-1004.

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。