On low rank perturbations of complex matrices and some discrete metric spaces Article uri icon

abstract

  • In this article, several theorems on perturbations of a complex matrix by a matrix of a given rank are presented. These theorems may be divided into two groups. The first group is about spectral properties of a matrix under such perturbations; the second is about almost-near relations with respect to the rank distance.

publication date

  • 2009-01-01