On some properties for the sequence of Brualdi-Li matrices (Q1791431)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On some properties for the sequence of Brualdi-Li matrices |
scientific article; zbMATH DE number 6950976
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some properties for the sequence of Brualdi-Li matrices |
scientific article; zbMATH DE number 6950976 |
Statements
On some properties for the sequence of Brualdi-Li matrices (English)
0 references
10 October 2018
0 references
Summary: Let \(B_{2n}\) denote the Brualdi-Li matrix, and let \(\rho_{2n}=\rho(B_{2n})\) denote the Perron value of the Brualdi-Li matrix of order \(2n\). We prove that \(2n(n-1/2-\rho_{2n})\) is monotonically decreasing for all \(n\) and \(\rho_{2n}<n-1/2-(e^2-1)/4(e^2+1)n\), where \(e= 2.718281828459045\ldots\).
0 references
