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A note on the representation for the Drazin inverse of block matrices

✍ Scribed by Dragana S. Cvetković-Ilić

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
125 KB
Volume
429
Category
Article
ISSN
0024-3795

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In 1979, Campbell and Meyer proposed the problem of finding a formula for the Drazin inverse of a 2 × 2 matrix M = A B C D in terms of its various blocks, where the blocks A and D are required to be square matrices. Special cases of the problems have been studied. In particular, a representation of

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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 t