| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4603451 | Linear Algebra and its Applications | 2007 | 7 Pages |
Abstract
We determine the maximum and minimum numbers of positive entries of imprimitive nonnegative matrices with a given imprimitivity index. One application of the results is to estimate the imprimitivity index by the number of positive entries. The proofs involve the study of a cyclic quadratic form. This completes a research initiated by Lewin in 1990.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
