M-P invertible matrices and unitary groups over F-q2
文献类型：期刊论文
| 作者 | Dai, ZD; Wan, ZX |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
 |
| 出版日期 | 2002-04-01 |
| 卷号 | 45期号:4页码:443-449 |
| ISSN号 | 1006-9283 |
| 关键词 | Moor-Penrose generalized inverse finite field unitary group |
| 英文摘要 | The Moor-Penrose generalized inverses (M-P inverses for short) of matrices over a finite field F-q2, which is a generalization of the Moor-Penrose generalized inverses over the complex field, are studied in the present paper. Some necessary and sufficient conditions for an m x n matrix A over Fq2 having an M-P inverse are obtained, which make clear the set of m x n matrices over F-q2 having M-P inverses and reduce the problem of constructing and enumerating the M-P invertible matrices to that of constructing and enumerating the non-isotropic subspaces with respect to the unitary group. Based on this reduction, both the construction problem and the enumeration problem are solved by borrowing the results in geometry of unitary groups over finite fields. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SCIENCE CHINA PRESS |
| WOS记录号 | WOS:000175008900004 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17857]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Dai, ZD |
| 作者单位 | 1.Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100039, 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 | Dai, ZD,Wan, ZX. M-P invertible matrices and unitary groups over F-q2[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2002,45(4):443-449. |
| APA | Dai, ZD,&Wan, ZX.(2002).M-P invertible matrices and unitary groups over F-q2.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,45(4),443-449. |
| MLA | Dai, ZD,et al."M-P invertible matrices and unitary groups over F-q2".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 45.4(2002):443-449. |
入库方式： OAI收割
来源：数学与系统科学研究院
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