Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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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)
  • Received : 2012.11.20
  • Accepted : 2013.01.22
  • Published : 2013.05.30
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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.

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References

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