Araştırma Makalesi

On the norms of r-circulant matrices with generalized Fibonacci numbers

Cilt: 4 Sayı: 1 11 Ocak 2017
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On the norms of r-circulant matrices with generalized Fibonacci numbers

Abstract

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.

Keywords

Kaynakça

  1. [1] D. Bozkurt, T. Y. Tam, Determinants and inverses of r􀀀circulant matrices associated with a number sequences, Linear and Multilinear Algebra 63(10) (2015) 2079–2088.
  2. [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. [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. [4] R. A. Horn, C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1991.
  5. [5] R. Mathias, The spectral norm of nonnegative matrix, Linear Algebra Appl. 139 (1990), 269–284.
  6. [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. [7] T. Koshy, Fibonacci and Lucas Numbers with Application, John Wiley and Sons, Inc., 2001.
  8. [8] S. Shen, J. Cen, On the norms of r􀀀circulant matrices with Fibonacci and Lucas numbers, Appl.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

11 Ocak 2017

Gönderilme Tarihi

6 Ocak 2017

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 4 Sayı: 1

Kaynak Göster

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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