EN
On the spectral norms of some special $g$-circulant matrices
Abstract
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 $([U_0^{(a,b)}]^2,[U_1^{(a,b)}]^2, \cdot, [U_{n-1}^{(a,b)}]^2)$.
Keywords
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
October 1, 2016
Submission Date
January 8, 2015
Acceptance Date
March 1, 2016
Published in Issue
Year 2016 Volume: 45 Number: 5
APA
Shen, S.- qiang, Liu, W.- jun, & He, J.- jie. (2016). On the spectral norms of some special $g$-circulant matrices. Hacettepe Journal of Mathematics and Statistics, 45(5), 1441-1448. https://izlik.org/JA26YU84JM
AMA
1.Shen S qiang, Liu W jun, He J jie. On the spectral norms of some special $g$-circulant matrices. Hacettepe Journal of Mathematics and Statistics. 2016;45(5):1441-1448. https://izlik.org/JA26YU84JM
Chicago
Shen, Shou-qiang, Wei-jun Liu, and Jun-jie He. 2016. “On the Spectral Norms of Some Special $g$-Circulant Matrices”. Hacettepe Journal of Mathematics and Statistics 45 (5): 1441-48. https://izlik.org/JA26YU84JM.
EndNote
Shen S- qiang, Liu W- jun, He J- jie (October 1, 2016) On the spectral norms of some special $g$-circulant matrices. Hacettepe Journal of Mathematics and Statistics 45 5 1441–1448.
IEEE
[1]S.- qiang Shen, W.- jun Liu, and J.- jie He, “On the spectral norms of some special $g$-circulant matrices”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, pp. 1441–1448, Oct. 2016, [Online]. Available: https://izlik.org/JA26YU84JM
ISNAD
Shen, Shou-qiang - Liu, Wei-jun - He, Jun-jie. “On the Spectral Norms of Some Special $g$-Circulant Matrices”. Hacettepe Journal of Mathematics and Statistics 45/5 (October 1, 2016): 1441-1448. https://izlik.org/JA26YU84JM.
JAMA
1.Shen S- qiang, Liu W- jun, He J- jie. On the spectral norms of some special $g$-circulant matrices. Hacettepe Journal of Mathematics and Statistics. 2016;45:1441–1448.
MLA
Shen, Shou-qiang, et al. “On the Spectral Norms of Some Special $g$-Circulant Matrices”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, Oct. 2016, pp. 1441-8, https://izlik.org/JA26YU84JM.
Vancouver
1.Shou-qiang Shen, Wei-jun Liu, Jun-jie He. On the spectral norms of some special $g$-circulant matrices. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Oct. 1;45(5):1441-8. Available from: https://izlik.org/JA26YU84JM