The Weighted Moore-Penrose Inverse of a Matriz over Antirings

摘要：

An antiring is a semiring which is zerosumfree (i.e., a + b = 0 implies a = b = 0 for any a,b in this semiring). We in this paper mainly investigate the existence of the weighted Moore-Penrose inverse of a matrix over the commutative antiring. Some necessary and sufficient conditions for the existence of weighted Moore-Penrose inverse are given. We also present some equivalent descriptions and the uniqueness of the weighted Moore-Penrose inverse when it exists over the commutative antiring.

关键词： Antiring Weighted Moore-Penrose inverse Symmetric matriz

作者: Yu-Bao Bao Qing-Wen Wang Bao-Fu Liu

作者单位: Department of Mathematics, Shanghai University, Shanghai 200444, P.R.China Department of Mathematics Department of Mathematics, Shanghai University, Shanghai 200444, P.R.China Jinan No.1 .High School, Jinan 250011, 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: 293-296

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）