Geodesic
The Drazin inverse matrix modification formulae with Peirce corners
Filomat, Tome 35 (2021) no. 8, p. 2605

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DOI

Our motivation is to derive the Drazin inverse matrix modification formulae utilizing the Drazin inverses of adequate Peirce corners under some special cases, and the Drazin inverse of a special matrix with an additive perturbation. As applications, several new results for the expressions of the Drazin inverses of modified matrices A − CB and A − CD d B are obtained, and some well known results in the literature, as the Sherman-Morrison-Woodbury formula and Jacobson's Lemma, are generalized
DOI : 10.2298/FIL2108605Z
Classification : 15A09, 15A30, 65F20
Keywords: Peirce corner, modified matrix, Drazin inverse 
Daochang Zhang; Dijana Mosić; Jianping Hu. The Drazin inverse matrix modification formulae with Peirce corners. Filomat, Tome 35 (2021) no. 8, p. 2605 . doi: 10.2298/FIL2108605Z
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     title = {The {Drazin} inverse matrix modification formulae with {Peirce} corners},
     journal = {Filomat},
     pages = {2605 },
     year = {2021},
     volume = {35},
     number = {8},
     doi = {10.2298/FIL2108605Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108605Z/}
}
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