Geometry structures of the generalized inverses of block two-by-two matrices

作者：Deng Chunyuan^*

来源：Applied Mathematics and Computation, 2015, 250: 479-491.

DOI：10.1016/j.amc.2014.11.008

• Block matrix
• Inverse
• Moore-Penrose inverse

In this paper, we study the invertibility and the Moore-Penrose invertibility of 2 x 2 block matrix with Schur complement having closed range. The necessary and sufficient conditions for the existence as well as the expressions for the inverses and the Moore-Penrose inverses are obtained.

• 单位
  华南师范大学