EN
On the norms of r-circulant matrices with generalized Fibonacci numbers
Öz
In this paper, we obtain a generalization of [6, 8]. Firstly, we consider the so-called r-circulant matrices
with generalized Fibonacci numbers and then found lower and upper bounds for the Euclidean
and spectral norms of these matrices. Afterwards, we present some bounds for the spectral norms of
Hadamard and Kronecker product of these matrices.
Anahtar Kelimeler
Kaynakça
- [1] D. Bozkurt, T. Y. Tam, Determinants and inverses of rcirculant matrices associated with a number sequences, Linear and Multilinear Algebra 63(10) (2015) 2079–2088.
- [2] H. Civciv, R. Turkmen, Notes on norms of circulant matrices with Lucas numbers, Int. J. Inf. Syst. Sci. 4(1) (2008) 142–147.
- [3] C. He, J. Ma, K. Zhang, Z. Wang, The upper bound estimation on the spectral norm of r-circulant matrices with the Fibonacci and Lucas numbers, J. Inequal. Appl. Article ID 72 (2015) 1–10.
- [4] R. A. Horn, C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1991.
- [5] R. Mathias, The spectral norm of nonnegative matrix, Linear Algebra Appl. 139 (1990), 269–284.
- [6] A. Nalli, M. Sen, On the norms of circulant matrices with generalized Fibonacci numbers, Selçuk J. Appl. Math. 11(1) (2010) 107–116.
- [7] T. Koshy, Fibonacci and Lucas Numbers with Application, John Wiley and Sons, Inc., 2001.
- [8] S. Shen, J. Cen, On the norms of rcirculant matrices with Fibonacci and Lucas numbers, Appl.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yazarlar
Yayımlanma Tarihi
11 Ocak 2017
Gönderilme Tarihi
6 Ocak 2017
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2017 Cilt: 4 Sayı: 1
APA
Chandoul, A. (2017). On the norms of r-circulant matrices with generalized Fibonacci numbers. Journal of Algebra Combinatorics Discrete Structures and Applications, 4(1), 13-21. https://doi.org/10.13069/jacodesmath.12813
AMA
1.Chandoul A. On the norms of r-circulant matrices with generalized Fibonacci numbers. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4(1):13-21. doi:10.13069/jacodesmath.12813
Chicago
Chandoul, Amara. 2017. “On the norms of r-circulant matrices with generalized Fibonacci numbers”. Journal of Algebra Combinatorics Discrete Structures and Applications 4 (1): 13-21. https://doi.org/10.13069/jacodesmath.12813.
EndNote
Chandoul A (01 Ocak 2017) On the norms of r-circulant matrices with generalized Fibonacci numbers. Journal of Algebra Combinatorics Discrete Structures and Applications 4 1 13–21.
IEEE
[1]A. Chandoul, “On the norms of r-circulant matrices with generalized Fibonacci numbers”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 4, sy 1, ss. 13–21, Oca. 2017, doi: 10.13069/jacodesmath.12813.
ISNAD
Chandoul, Amara. “On the norms of r-circulant matrices with generalized Fibonacci numbers”. Journal of Algebra Combinatorics Discrete Structures and Applications 4/1 (01 Ocak 2017): 13-21. https://doi.org/10.13069/jacodesmath.12813.
JAMA
1.Chandoul A. On the norms of r-circulant matrices with generalized Fibonacci numbers. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4:13–21.
MLA
Chandoul, Amara. “On the norms of r-circulant matrices with generalized Fibonacci numbers”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 4, sy 1, Ocak 2017, ss. 13-21, doi:10.13069/jacodesmath.12813.
Vancouver
1.Amara Chandoul. On the norms of r-circulant matrices with generalized Fibonacci numbers. Journal of Algebra Combinatorics Discrete Structures and Applications. 01 Ocak 2017;4(1):13-21. doi:10.13069/jacodesmath.12813
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