On low rank perturbations of complex matrices and some discrete metric spaces
Lev Glebsky, Luis Rivera · Electronic Journal of Linear Algebra · 2009
In this article, several theorems on perturbations ofa complex matrix by a matrixofa 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.