On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers

Volume: 28 Number: 3 May 28, 2015
EN TR

On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers

Abstract

The aim of this paper is to study norms of some circulant matrices and some special matrices which entries consist of harmonic Fibonacci numbers.

Keywords

References

  1. N. Tuglu, C. Kızılates¸, S. Kesim, On the harmonic and hyperharmonic Fibonacci numbers, ArXiv:1505.04284v1.
  2. S. Solak, On the norms of circulant matrices with the Fibonacci and Lucas numbers, Appl. Math. Comput. 160 (2005) 125–132.
  3. E.G.Kocer, T. Mansour, N. Tuglu, Norms of Circulant and Semicirculant Matrices with Horadams Numbers, Ars Combinatoria, 85 (2007) 353-359.
  4. S. Shen, On the norms of Toeplitz matrices involving k-Fibonacci and k-Lucas numbers, Int. J. Cont. Math. Sci. 7 (2012), 363–368.
  5. M. Bahsi, S. Solak, On the matrices with Harmonic numbers, Gazi University J.Science 23 (4),(2010), 445-448.
  6. J. Zhou, X. Chen, Z. Jiang, The Explicit Identities for Spectral Norms of Circulant-Type Matrices Involving Binomial Coefficients and Harmonic Numbers, Math. Probl. Eng.Article ID 672398, 5 (2014).
  7. R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, UK, 1985.
  8. R.Graham, D. Knuth, K. Patashnik, Concrete Mathematics, Addison Wesley, 1989.

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

May 28, 2015

Submission Date

May 28, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 28 Number: 3

APA
Tuglu, N., & Kızılateş, C. (2015). On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers. Gazi University Journal of Science, 28(3), 497-501. https://izlik.org/JA79MS93NN
AMA
1.Tuglu N, Kızılateş C. On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers. Gazi University Journal of Science. 2015;28(3):497-501. https://izlik.org/JA79MS93NN
Chicago
Tuglu, Naim, and Can Kızılateş. 2015. “On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers”. Gazi University Journal of Science 28 (3): 497-501. https://izlik.org/JA79MS93NN.
EndNote
Tuglu N, Kızılateş C (October 1, 2015) On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers. Gazi University Journal of Science 28 3 497–501.
IEEE
[1]N. Tuglu and C. Kızılateş, “On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers”, Gazi University Journal of Science, vol. 28, no. 3, pp. 497–501, Oct. 2015, [Online]. Available: https://izlik.org/JA79MS93NN
ISNAD
Tuglu, Naim - Kızılateş, Can. “On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers”. Gazi University Journal of Science 28/3 (October 1, 2015): 497-501. https://izlik.org/JA79MS93NN.
JAMA
1.Tuglu N, Kızılateş C. On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers. Gazi University Journal of Science. 2015;28:497–501.
MLA
Tuglu, Naim, and Can Kızılateş. “On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers”. Gazi University Journal of Science, vol. 28, no. 3, Oct. 2015, pp. 497-01, https://izlik.org/JA79MS93NN.
Vancouver
1.Naim Tuglu, Can Kızılateş. On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers. Gazi University Journal of Science [Internet]. 2015 Oct. 1;28(3):497-501. Available from: https://izlik.org/JA79MS93NN