The expression for the group inverse of the anti-triangular block matrix

Autor: Fapeng Du, Yifeng Xue
Rok vydání: 2014
Předmět:
Zdroj: Filomat. 28:1103-1112
ISSN: 2406-0933
0354-5180
DOI: 10.2298/fil1406103d
Popis: In this paper, we present the explicit expression for the group inverse of the sum of two matrices. As an application, the explicit expression for the group inverse of the anti-triangular block matrix $\begin{pmatrix}A&B\\C&0\end{pmatrix}$ and $\begin{pmatrix}0&B\\C&D\end{pmatrix}$ are obtained without any conditions on sub-blocks
Databáze: OpenAIRE