M-P invertible matrices and unitary groups over F-q2

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	M-P invertible matrices and unitary groups over F-q2
	Dai, ZD ; Wan, ZX
	2002-04-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	45 期号:4 页码:443-449
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.
关键词	Moor-Penrose generalized inverse finite field unitary group
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000175008900004
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17858
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.