EN
On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number
Abstract
In this paper, we study the spectral norms of the geometric circulant matrices and the symmetric geometric circulant matrices with the Tribonacci numbers and any complex numbers r.
Keywords
References
- [1] Solak, S., “On the norms of circulant matrices with the Fibonacci and Lucas numbers”, Applied Mathematics and Computation, 160: 125-132, (2005).
- [2] Kocer, EG, Mansour, T, Tuglu, N., “Norms of circulant and semicirculant matrices with Horadam's numbers”, Ars Combinatoria, 85: 353-359, (2007).
- [3] Shen, S.Q, Cen, J.M., “On the bounds for the norms of circulant matrices with Fibonacci and Lucas numbers”, Applied Mathematics and Computation, 216: 2891-2897, (2010).
- [4] Bahsi, M., “On the norms of circulant matrices with the hyperharmonic numbers”, Journal of Mathematical Inequalities, 10: (2), 445-458, (2016).
- [5] Bahsi, M. and Solak, S., “On the norms of circulant matrices with the hyper-Fibonacci and Lucas numbers”, Journal of Mathematical Inequalities,8: (4), 693-705, (2014).
- [6] Kızılateş, C. and Naim, T., “On the bounds for the spectral norms of geometric circulant matrices”, Journal of Inequalities and Applications, 2016:312 (2016).
- [7] Tuglu, N. and Kızılateş C., “On the norms of circulant and circulant matrices with the hyperharmonic Fibonacci numbers”, Journal of Inequalities and Applications, 2015: 253, (2015).
- [8] Tuglu, N, Kızılateş, C, Kesim, S., “On the harmonic and hyperharmonic Fibonacci numbers”, Advances Difference Equations, 2015: 297, (2015).
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
June 1, 2018
Submission Date
June 26, 2017
Acceptance Date
March 14, 2018
Published in Issue
Year 2018 Volume: 31 Number: 2
APA
Kızılateş, C., & Tuglu, N. (2018). On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number. Gazi University Journal of Science, 31(2), 555-567. https://izlik.org/JA97PS59SK
AMA
1.Kızılateş C, Tuglu N. On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number. Gazi University Journal of Science. 2018;31(2):555-567. https://izlik.org/JA97PS59SK
Chicago
Kızılateş, Can, and Naim Tuglu. 2018. “On the Norms of Geometric and Symmetric Geometric Circulant Matrices With the Tribonacci Number”. Gazi University Journal of Science 31 (2): 555-67. https://izlik.org/JA97PS59SK.
EndNote
Kızılateş C, Tuglu N (June 1, 2018) On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number. Gazi University Journal of Science 31 2 555–567.
IEEE
[1]C. Kızılateş and N. Tuglu, “On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number”, Gazi University Journal of Science, vol. 31, no. 2, pp. 555–567, June 2018, [Online]. Available: https://izlik.org/JA97PS59SK
ISNAD
Kızılateş, Can - Tuglu, Naim. “On the Norms of Geometric and Symmetric Geometric Circulant Matrices With the Tribonacci Number”. Gazi University Journal of Science 31/2 (June 1, 2018): 555-567. https://izlik.org/JA97PS59SK.
JAMA
1.Kızılateş C, Tuglu N. On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number. Gazi University Journal of Science. 2018;31:555–567.
MLA
Kızılateş, Can, and Naim Tuglu. “On the Norms of Geometric and Symmetric Geometric Circulant Matrices With the Tribonacci Number”. Gazi University Journal of Science, vol. 31, no. 2, June 2018, pp. 555-67, https://izlik.org/JA97PS59SK.
Vancouver
1.Can Kızılateş, Naim Tuglu. On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number. Gazi University Journal of Science [Internet]. 2018 Jun. 1;31(2):555-67. Available from: https://izlik.org/JA97PS59SK