Similarity reduction of matrix over a quaternion division ring
文献类型：期刊论文
| 作者 | Huang, Li-Ping1; Liu, Zhuo-Jun2
|
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2008-02-01 |
| 卷号 | 428期号:4页码:765-780 |
| 关键词 | quaternion division ring matrix polynomial similarity centralizable matrix generalized Jordan canonical form |
| ISSN号 | 0024-3795 |
| DOI | 10.1016/j.laa.2007.08.006 |
| 英文摘要 | Let F be a field of characteristic not equal 2, H-F = (a,b/F) the quaternion division ring over F. This paper discusses the similarity of polynomials over HF. By using polynomials over H-F, this paper proves that every square matrix over H-F is similar to a uniquely generalized Jordan canonical form, and a quaternion matrix A is similar to a matrix over F if and only if A is similar to A* via a Hermite similarity transformation, or if and only if A is product of two quaternion Hermite matrices. (C) 2007 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000253307800006 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4580]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Huang, Li-Ping |
| 作者单位 | 1.Changsha Univ Sci & Technol, Sch Math & Comp Sci, Changsha 410076, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Li-Ping,Liu, Zhuo-Jun. Similarity reduction of matrix over a quaternion division ring[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2008,428(4):765-780. |
| APA | Huang, Li-Ping,&Liu, Zhuo-Jun.(2008).Similarity reduction of matrix over a quaternion division ring.LINEAR ALGEBRA AND ITS APPLICATIONS,428(4),765-780. |
| MLA | Huang, Li-Ping,et al."Similarity reduction of matrix over a quaternion division ring".LINEAR ALGEBRA AND ITS APPLICATIONS 428.4(2008):765-780. |
入库方式： OAI收割
来源：数学与系统科学研究院
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