Geodesic
The Moore-Penrose inverse of a linear combination of commuting generalized and hypergeneralized projectors
The electronic journal of linear algebra, Tome 22 (2011), pp. 1129-1137.

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

Summary: In this paper, some representations for the Moore-Penrose inverse of a linear combination of generalized and hypergeneralized projectors are found. Also, the invertibility for some linear combinations of commuting generalized and hypergeneralized projectors is considered.
Classification : 15A09
Keywords: idempotent, projector, generalized projector, hypergeneralized projector, Moore- Penrose inverse 
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     title = {The {Moore-Penrose} inverse of a linear combination of commuting generalized and hypergeneralized projectors},
     journal = {The electronic journal of linear algebra},
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     year = {2011},
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Tosic, Marina; Cvetkovic-Ilic, Dragana S.; Deng, Chunyuan. The Moore-Penrose inverse of a linear combination of commuting generalized and hypergeneralized projectors. The electronic journal of linear algebra, Tome 22 (2011), pp. 1129-1137. http://geodesic.mathdoc.fr/item/ELA_2011__22__a3/