On Some Properties for the Sequence of Brualdi-Li Matrices
Let B2n denote the Brualdi-Li matrix, and let ρ2n=ρ(B2n) denote the Perron value of the Brualdi-Li matrix of order 2n. We prove that 2n(n-1/2-ρ2n) is monotonically decreasing for all n and ρ2n<n-1/2-(e2-1)/4(e2+1)n, where e=2.718281828459045….
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/985654 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|