Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1121.15008
Li, Xiezhang; Wei, Yimin
A note on the representations for the Drazin inverse of $2 \times 2$ block matrices.
(English)
[J] Linear Algebra Appl. 423, No. 2-3, 332-338 (2007). ISSN 0024-3795

Given a matrix $M = \left[ {\matrix A & B \\ C & D \\ \endmatrix } \right]$, where $A \in {\Bbb C}^{m \times m}$ and $D \in {\Bbb C}^{n \times n}$, a new formula for the Drazin inverse $M^D$ is derived under the assumptions that: $A(I - AA^D)B = 0, C(I - AA^D)B = 0, BCAA^D = 0, DCAA^D = 0$.
[Mihail Voicu (Iaşi)]
MSC 2000:
*15A09 Matrix inversion

Keywords: Drazin inverse; block matrix

Highlights
Master Server