Article ID Journal Published Year Pages File Type
4602522 Linear Algebra and its Applications 2008 15 Pages PDF
Abstract

The problem of characterizing the possible invariant factors or Weyr characteristic of all the matrices that can be obtained from a specified one by perturbing some of its rows is considered. Such a characterization is attained in two generic cases: first when the fixed submatrix form a completely controllable pair and second, for the noncontrollable case when a significant invariant subspace is cyclic.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory