Geodesic
Block representations of the Drazin inverse of a bipartite matrix
The electronic journal of linear algebra, Tome 18 (2009), pp. 98-107.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Block representations of the Drazin inverse of a bipartite matrix $A = \frac34 0$ BC 0 ?` in terms of the Drazin inverse of the smaller order block product BC or CB are presented. Relationships between the index of A and the index of BC are determined, and examples are given to illustrate all such possible relationships.
Classification : 15A09
Keywords: Drazin inverse, bipartite matrix 
@article{ELA_2009__18__a49,
     author = {Catral, Minerva and Olesky, Dale D. and van den Driessche, Pauline},
     title = {Block representations of the {Drazin} inverse of a bipartite matrix},
     journal = {The electronic journal of linear algebra},
     pages = {98--107},
     publisher = {mathdoc},
     volume = {18},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2009__18__a49/}
}
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Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline. Block representations of the Drazin inverse of a bipartite matrix. The electronic journal of linear algebra, Tome 18 (2009), pp. 98-107. http://geodesic.mathdoc.fr/item/ELA_2009__18__a49/