Geodesic
Explicit formulae for the Drazin inverse of anti-triangular block matrices
Filomat, Tome 36 (2022) no. 18, p. 6215

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DOI

In this paper, we analyze the index relation of anti-triangular block matrices and their entries to separately obtain new and strict expressions for the Drazin inverse of them under certain circumstances. As applications, we utilize the relationship between the anti-triangular block matrix and a 2 × 2 block matrix to establish several formulae. Our results generalize and unify a series of results in the literature.
DOI : 10.2298/FIL2218215Z
Classification : P15A09, 15A23, 39B42, 65F20
Keywords: Drazin inverse Block matrix Anti-triangular matrixindex 
Daochang Zhang; Dijana Mosić; Yu Jin. Explicit formulae for the Drazin inverse of anti-triangular block matrices. Filomat, Tome 36 (2022) no. 18, p. 6215 . doi: 10.2298/FIL2218215Z
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     title = {Explicit formulae for the {Drazin} inverse of anti-triangular block matrices},
     journal = {Filomat},
     pages = {6215 },
     year = {2022},
     volume = {36},
     number = {18},
     doi = {10.2298/FIL2218215Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2218215Z/}
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