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Group inverse for the block matrix with two identical subblocks over skew fields.

Zhao, Jiemei; Bu, Changjiang — 2010

ELA. The Electronic Journal of Linear Algebra [electronic only]

The explicit representations of the Drazin inverses of a class of block matrices.

Bu, Changjiang; Zhang, Kuize — 2010

ELA. The Electronic Journal of Linear Algebra [electronic only]

Some results on the group inverse for block matrices over skew fields.

Bu, Changjiang; Zhao, Jiemei; Zhang, Kuize — 2009

ELA. The Electronic Journal of Linear Algebra [electronic only]

On block triangular matrices with signed Drazin inverse

Changjiang Bu; Wenzhe Wang; Jiang Zhou; Lizhu Sun — 2014

Czechoslovak Mathematical Journal

The sign pattern of a real matrix $A$ , denoted by $sgn A$ , is the $(+, -, 0)$ -matrix obtained from $A$ by replacing each entry by its sign. Let $𝒬 (A)$ denote the set of all real matrices $B$ such that $sgn B = sgn A$ . For a square real matrix $A$ , the Drazin inverse of $A$ is the unique real matrix $X$ such that $A^{k + 1} X = A^{k}$ , $X A X = X$ and $A X = X A$ , where $k$ is the Drazin index of $A$ . We say that $A$ has signed Drazin inverse if $sgn {\tilde{A}}^{d} = sgn A^{d}$ for any $\tilde{A} \in 𝒬 (A)$ , where $A^{d}$ denotes the Drazin inverse of $A$ . In this paper, we give necessary conditions for some block triangular matrices to have signed...

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Currently displaying 1 – 4 of 4

Group inverse for the block matrix with two identical subblocks over skew fields.

The explicit representations of the Drazin inverses of a class of block matrices.

Some results on the group inverse for block matrices over skew fields.

On block triangular matrices with signed Drazin inverse