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Additive properties of the Drazin inverse for matrices and block representations: a survey. (English) Zbl 1513.15008

Summary: In this paper, a review of a development of the Drazin inverse for the sum of two matrices has been given. Since this topic is closely related to the problem of finding the Drazin inverse of a \(2 \times 2\) block matrix, the paper also offers a survey of this subject.

MSC:

15A09 Theory of matrix inversion and generalized inverses
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References:

[1] 1.M. P. Drazin:Pseudoinverse in associative rings and semigroups. Amer. Math. Monthly65(1958) 506-514. · Zbl 0083.02901
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[9] 9.D. S. Cvetkovi´c-Ili´c, Y. Wei:Algebraic Properties of Generalized Inverses. Springer, Singapore, 2017 · Zbl 1380.15003
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