Additive results for the Drazin inverse of block matrices and applications |
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Authors: | Jelena Ljubisavljevi?Dragana S. Cvetkovi?-Ili? |
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Affiliation: | a University of Niš, Faculty of Medicine, Serbiab University of Niš, Faculty of Science and Mathematics, Serbia |
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Abstract: | In this paper, we consider the Drazin inverse of a sum of two matrices and derive additive formulas under conditions weaker than those used in some recent papers on the subject. As a corollary we get the main results from the paper of Yang and Liu [H. Yang, X. Liu, The Drazin inverse of the sum of two matrices and its applications, J. Comput. Appl. Math. 235 (2011) 1412-1417]. As an application we give some new representations for the Drazin inverse of a block matrix. |
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Keywords: | 15A09 |
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