环上一类反三角块阵的群逆
The group inverse for a class of anti-triangular block matrices over ring
摘要
设R是含1的结合环.刻画了R上一类22反三角块阵的群可逆性,并且给出了其群逆的确切表示.
Let R be an associativering with 1. Characterized the group invertibility for a class of 2 ×2 anti-triangular block matrrces and gave the explicit representations for the group inverse over R.
出处
《高师理科学刊》
2015年第7期22-24,26,共4页
Journal of Science of Teachers'College and University
关键词
结合环
群逆
反三角块阵
associative ring
group inverse
anti-triangular block matrice
参考文献8
-
1Bu C,Zhao J.Some results on group inverses of block matrices over skew fields[J].Electronic Journal of Linear Algebra,2009(18):117-125.
-
2Cao C.A note on the group inverse of 2?2 block matrices over skew fields[J].Appl Math Comput,2011,217:10271-10277.
-
3Liu Xifu,Hu Yang.Further results on the group inverses and drazin inverses of anti-triangular block matrices[J].Appl Math Comput,2012,218:8978-8986.
-
4Song X,Zheng B.The group invertibility of the product of two matrices over ring and its applications[J].Comp Appl Math,2014(33):821-829.
-
5Bu C,Zhang K.Representations of the Drazin inverse on solution of a class singular differential equations[J].Linear Multilinear Algebra,2011(59):863-877.
-
6Bu C,Li M,Zhang K.Group inverse for block matrices with an invertible subblock[J].Appl Math Comput,2009,215:132-139.
-
7Zhou J,Bu C,Wei Y.Group inverse for block matrices and some related sign anslysis[J].Linear Multilinear Algebra,2012(12):669-681.
-
8Sheng Y,Ge Y,Zhang H,et al.Group inverses for a class of 2?2 block matrices over rings[J].Appl Math Comput,2013,219:9340-9346.