Geodesic
On low rank perturbations of complex matrices and some discrete metric spaces
The electronic journal of linear algebra, Tome 18 (2009), pp. 302-316.

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

Summary: In this article, several theorems on perturbations ofa complex matrix by a matrix ofa given rank are presented. These theorems may be divided into two groups. The first group is about spectral properties ofa matrix under such perturbations; the second is about almost-near relations with respect to the rank distance.
Classification : 15A03, 15A18
Keywords: complex matrices, rank, perturbations 
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     author = {Glebsky, Lev and Rivera, Luis Manuel},
     title = {On low rank perturbations of complex matrices and some discrete metric spaces},
     journal = {The electronic journal of linear algebra},
     pages = {302--316},
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     volume = {18},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2009__18__a31/}
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Glebsky, Lev; Rivera, Luis Manuel. On low rank perturbations of complex matrices and some discrete metric spaces. The electronic journal of linear algebra, Tome 18 (2009), pp. 302-316. http://geodesic.mathdoc.fr/item/ELA_2009__18__a31/