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!
|
| _version_ | 1850221636320493568 |
|---|---|
| author | Xiaogen Chen |
| author_facet | Xiaogen Chen |
| author_sort | Xiaogen Chen |
| collection | DOAJ |
| description | 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…. |
| format | Article |
| id | doaj-art-68507525d63e47008dfdcee429a6f531 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-68507525d63e47008dfdcee429a6f5312025-08-20T02:06:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/985654985654On Some Properties for the Sequence of Brualdi-Li MatricesXiaogen Chen0School of Information Science and Technology, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, ChinaLet 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….http://dx.doi.org/10.1155/2013/985654 |
| spellingShingle | Xiaogen Chen On Some Properties for the Sequence of Brualdi-Li Matrices Journal of Applied Mathematics |
| title | On Some Properties for the Sequence of Brualdi-Li Matrices |
| title_full | On Some Properties for the Sequence of Brualdi-Li Matrices |
| title_fullStr | On Some Properties for the Sequence of Brualdi-Li Matrices |
| title_full_unstemmed | On Some Properties for the Sequence of Brualdi-Li Matrices |
| title_short | On Some Properties for the Sequence of Brualdi-Li Matrices |
| title_sort | on some properties for the sequence of brualdi li matrices |
| url | http://dx.doi.org/10.1155/2013/985654 |
| work_keys_str_mv | AT xiaogenchen onsomepropertiesforthesequenceofbrualdilimatrices |