An observation about submatrices

Details An observation about submatrices An observation about submatrices

2008-08-19

arxiv.org/abs/0808.2521v2

Mathematics

Probability

6 pages

Scientific paper

Let M be an arbitrary Hermitian matrix of order n, and k be a positive integer less than or equal to n. We show that if k is large, the distribution of eigenvalues on the real line is almost the same for almost all principal submatrices of M of order k. The proof uses results about random walks on symmetric groups and concentration of measure. In a similar way, we also show that almost all k x n submatrices of M have almost the same distribution of singular values.

Affiliated with

Also associated with

No associations

Rating

An observation about submatrices 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 An observation about submatrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An observation about submatrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-131835