Perturbations of Jordan Matrices

Details Perturbations of Jordan Matrices Perturbations of Jordan Matrices

2006-12-06

arxiv.org/abs/math/0612158v1

Mathematics

Spectral Theory

19 pages, 6 figures

Scientific paper

We consider perturbations of a large Jordan matrix, either random and small in norm or of small rank. In both cases we show that most of the eigenvalues of the perturbed matrix are very close to a circle with centre at the origin. In the case of random perturbations we obtain an estimate of the number of eigenvalues that are well inside the circle in a certain asymptotic regime. In the case of finite rank perturbations we completely determine the spectral asymptotics as the size of the matrix increases. The paper provides an elementary illustration of some standard techniques of spectral theory.

Affiliated with

Also associated with

No associations

Rating

Perturbations of Jordan Matrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Perturbations of Jordan Matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbations of Jordan Matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452842