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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
- N. Tuglu, C. Kızılates¸, S. Kesim, On the harmonic and hyperharmonic Fibonacci numbers, ArXiv:1505.04284v1.
- S. Solak, On the norms of circulant matrices with the Fibonacci and Lucas numbers, Appl. Math. Comput. 160 (2005) 125–132.
- E.G.Kocer, T. Mansour, N. Tuglu, Norms of Circulant and Semicirculant Matrices with Horadams Numbers, Ars Combinatoria, 85 (2007) 353-359.
- S. Shen, On the norms of Toeplitz matrices involving k-Fibonacci and k-Lucas numbers, Int. J. Cont. Math. Sci. 7 (2012), 363–368.
- M. Bahsi, S. Solak, On the matrices with Harmonic numbers, Gazi University J.Science 23 (4),(2010), 445-448.
- 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).
- R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, UK, 1985.
- R.Graham, D. Knuth, K. Patashnik, Concrete Mathematics, Addison Wesley, 1989.
Details
Primary Language
English
Subjects
-
Journal Section
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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