On the spectral norm of r-circulant matrices with the Pell and Pell-Lucas numbers
| Autor: | Hasan Gökbaş, Ramazan Türkmen |
|---|---|
| Přispěvatelé: | Selçuk Üniversitesi |
| Rok vydání: | 2016 |
| Předmět: |
lcsh:Mathematics
r-circulant matrix Applied Mathematics 010102 general mathematics Matrix norm Pell-Lucas numbers 010103 numerical & computational mathematics lcsh:QA1-939 01 natural sciences Pell number Combinatorics Matrix (mathematics) Lucas number spectral norm Discrete Mathematics and Combinatorics Pell numbers 0101 mathematics Circulant matrix Analysis Mathematics |
| Zdroj: | Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-7 (2016) |
| ISSN: | 1029-242X |
| DOI: | 10.1186/s13660-016-0997-0 |
| Popis: | WOS: 000391732400001 Let us define A = C-r (a(0), a(1),..., a(n-1)) to be a nxn r-circulant matrix. The entries in the first row of A = C-r (a(0), a(1),..., a(n-1)) are a(i) = P-i, a(i) = Q(i), a(i) = P-i(2) or a(i) = Q(i)(2) (i = 0, 1, 2,..., n - 1), where P-i and Q(i) are the ith Pell and Pell-Lucas numbers, respectively. We find some bounds estimation of the spectral norm for r-Circulant matrices with Pell and Pell-Lucas numbers. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink