Geodesic
The optimal perturbation bounds for the weighted Moore-Penrose inverse
The electronic journal of linear algebra, Tome 22 (2011), pp. 521-538.

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

Summary: In this paper, we obtain optimal perturbation bounds of the weighted Moore-Penrose inverse under the weighted unitary invariant norm, the weighted Q-norm and the weighted F -norm, and thereby extend some recent results.
Classification : 15A09, 15A18, 15A24
Keywords: weighted Moore-Penrose inverse, weighted unitary invariant norm, weighted Q-norm, weighted F -norm 
@article{ELA_2011__22__a44,
     author = {Xu, Wei-Wei and Cai, Li-Xia and Li, Wen},
     title = {The optimal perturbation bounds for the weighted {Moore-Penrose} inverse},
     journal = {The electronic journal of linear algebra},
     pages = {521--538},
     publisher = {mathdoc},
     volume = {22},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2011__22__a44/}
}
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Xu, Wei-Wei; Cai, Li-Xia; Li, Wen. The optimal perturbation bounds for the weighted Moore-Penrose inverse. The electronic journal of linear algebra, Tome 22 (2011), pp. 521-538. http://geodesic.mathdoc.fr/item/ELA_2011__22__a44/