| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601312 | Linear Algebra and its Applications | 2011 | 4 Pages |
Abstract
A sign pattern is said to be nilpotent of index k if all real matrices in its qualitative class are nilpotent and their maximum nilpotent index equals k. In this paper, we characterize sign patterns that are nilpotent of a given index k. The maximum number of nonzero entries in such sign patterns of a given order is determined as well as the sign patterns with this maximum number of nonzero entries.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
