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Formulas for the Drazin Inverse of Matrices with New Conditions and Its Applications

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Abstract

In this paper, we derive an explicit expression of \((P+Q)^{d}\) of two matrices P and Q, in terms of P, Q, \(P^d\) and \(Q^{d}\), assuming some conditions. And we also obtain representations for the Drazin inverse of complex block matrix \(\left( \begin{array}{ccc} A &{} B \\ C &{} D \end{array} \right) \) (A and D are square) under some conditions. Finally, numerical examples are given to illustrate our results.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Kurdistan, P. O. Box: 416, Sanandaj, Islamic Republic of Iran

    Mansour Dana & R. Yousefi

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  1. Mansour Dana
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  2. R. Yousefi
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Correspondence to Mansour Dana.

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Dana, M., Yousefi, R. Formulas for the Drazin Inverse of Matrices with New Conditions and Its Applications. Int. J. Appl. Comput. Math 4, 4 (2018). https://doi.org/10.1007/s40819-017-0459-5

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  • DOI: https://doi.org/10.1007/s40819-017-0459-5

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