Group inverses of matrices over a P.I.D. and its reverse order law

摘要：

Let R be a Principal Ideal Domains (P.I.D.). In this paper, we obtain an equivalent condition for the existence of group inverse of matrix over R, and study the existence and the representation of group inverse for block matrix (A B 0 0) over R. At last, the reverse order law of group inverses of products of two matrices over R was given.

关键词： P.I.D. column space product of matrices group inverse

作者: Juyan Li Chongguang Cao

作者单位: Department of Mathematics, Heilongjiang University, Harbin, 150080

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 309-312

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）