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http://dx.doi.org/10.14317/jami.2013.343

THE DRAZIN INVERSES OF THE SUM OF TWO MATRICES AND BLOCK MATRIX  

Shakoor, Abdul (Department of Mathematics, Chongqing University)
Yang, Hu (Department of Mathematics, Chongqing University)
Ali, Ilyas (Department of Mathematics, Chongqing University)
Publication Information
Journal of applied mathematics & informatics / v.31, no.3_4, 2013 , pp. 343-352 More about this Journal
Abstract
In this paper, we give a formula of $(P+Q)^D$ under the conditions $P^2Q+QPQ=0$ and $P^3Q=0$. Then applying it to give some results of block matrix $M=(^A_C^B_D)$ (A and D are square matrices) with generalized Schur complement is zero under some conditions. Finally, numerical examples are given to illustrate our results.
Keywords
Drazin inverse; Block matrix; Generalized Schur complement;
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