TY  - JOUR
T1  - On the spectral norms of some special $g$-circulant matrices
AU  - Shen, Shou-qiang
AU  - Liu, Wei-jun
AU  - He, Jun-jie
PY  - 2016
DA  - October
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1441
EP  - 1448
VL  - 45
IS  - 5
LA  - en
AB  - In the present paper, we give upper and lower bounds for the spectral norm of $g$-circulant matrix, whose the first row entries are the classical Horadam numbers $U_i^{(a,b)}$. In addition, we also establish an explicit formula of the spectral norm for $g$-circulant matrix with the first row $([U_0^{(a,b)}]^2,[U_1^{(a,b)}]^2, \cdot, [U_{n-1}^{(a,b)}]^2)$.
KW  - $g$-Circulant matrix
KW  - Spectral norm
KW  - Horadam number
KW  - Fibonacci number
KW  - Lucas number
CR  - .
CR  - .
UR  - https://dergipark.org.tr/en/pub/hujms/issue//524449
L1  - https://dergipark.org.tr/en/download/article-file/644852
ER  -