| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602266 | Linear Algebra and its Applications | 2009 | 8 Pages |
Abstract
We consider matrices containing two diagonal bands of positive entries. We show that all eigenvalues of such matrices are of the form rζ, where r is a nonnegative real number and ζ is a pth root of unity, where p is the period of the matrix, which is computed from the distance between the bands. We also present a problem in the asymptotics of spectra in which such double band matrices are perturbed by banded matrices.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
