| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4651977 | Electronic Notes in Discrete Mathematics | 2014 | 5 Pages |
Abstract
Let S⊆C⁎=C\{0} and A∈Mn(C). The matrix A is called an S-GHMn if A∈Mn(S) and AA⁎=Diag(λ1,…,λn), for some positive numbers λi,i=1,…,n. In this paper we provide some necessary conditions on n for the existence of an S-GHMn over a finite set S. We conjecture that for every positive integer n, there exists a {±1,±2,±3}-GHMn.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
