On the Block Independence in Generalized Moore-Penrose Inverse and Group Inverse of Block Matriz over Rings

摘要：

In this paper, the block independence in generalized Moore-Penrose inverse and group inverse of block matrices over rings are discussed. We give the definition of block independence in generalized Moore-Penrose inverse of 2×2 block matrix over a generalized weak finite ring, and derive necessary and sufficient conditions for block independence in generalized Moore-Penrose inverse of 2×2 block matrix. An analogous set of conditions for block independence in group inverse of 2×2 block matrix over rings is also obtained.

关键词： Generalized Moore-Penrose inverse group inverse block matriz block independence

作者: Xia Yin Zuhua Liao

作者单位: School of Science, Jiangnan University, Wuxi, Jiangsu 214122, P.R.China

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: 685-688

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）