长方矩阵的Γ_(α,β)-Moore-Penrose群逆  

Γ_(α,β)-Moore-Penrose Group Inverses of Rectangular Matrices

作　　者：崔雪芳[1] 

机构地区：[1]宁波教育学院数学系,浙江宁波315000

出　　处：《浙江大学学报（理学版）》2014年第1期6-11,17,共7页Journal of Zhejiang University（Science Edition）

摘　　要：PATRICIO等讨论了环中元素的Drazin-Moore-Penrose(DMP)可逆性,在矩阵环中得到了一些结果.讨论了长方矩阵的Γα,β-Moore-Penrose群逆,给出了长方矩阵的Γα,β-Moore-Penrose群逆存在的几个充要条件以及Γα,β-Moore-Penrose群逆的几个计算公式,把已有的平方矩阵的结果推广到了长方矩阵中.The Drazin-Moore-Penrose （DMP） invertibility in rings was discussed by PATRICIO, etc. Some results obtained also hold in matrix rings. The Гα,β-Moore-Penrose group inverses of rectangular matrices are discussed. Some necessary and sufficient conditions for existence and some expressions of the Гα,β-Moore Penrose group inver- ses of rectangular matrices are given. These square matrices results are extend to rectangular matrices.

关 键 词：长方矩阵 Гα β-Moore-Penrose逆 Гα β-群逆 Гα β-Moore—Penrose群逆 

分 类 号：O151[理学—数学]