Exact expressions for the Drazin inverse of anti-triangular matrices

Citation:

Zhang, D., Zhao, Y., Mosić, D., & Katsikis, V. N. (2023). Exact expressions for the Drazin inverse of anti-triangular matrices. Journal of Computational and Applied Mathematics, 428, 115187. Copy at http://www.tinyurl.com/2edy34n8

Abstract:

The main contribution of this paper is to develop explicit expressions for the Drazin inverse of two kinds of anti-triangular block complex matrices under new assumptions. Further, we apply our results to obtain new formulae for the Drazin inverse of a 2 × 2 block complex matrix. We present a list of well-known results which are recovered in this paper. We give three examples to illustrate our new explicit expressions.

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National and Kapodistrian University of Athens
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Email: vaskatsikis@econ.uoa.gr
URL: http://scholar.uoa.gr/vaskatsikis
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Recent Publications

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Vasilios Katsikis

Professor, Economics

Exact expressions for the Drazin inverse of anti-triangular matrices

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