BibTex RIS Kaynak Göster

On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers

Yıl 2015, Cilt: 28 Sayı: 3, 497 - 501, 28.05.2015

Öz

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

Kaynakça

  • 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.
  • R.A. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, 1991.

On the Norms of Some Special Matrices with the Harmonic

Yıl 2015, Cilt: 28 Sayı: 3, 497 - 501, 28.05.2015

Öz

Kaynakça

  • 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.
  • R.A. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, 1991.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Mathematics
Yazarlar

Naim Tuglu

Can Kızılateş

Yayımlanma Tarihi 28 Mayıs 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 28 Sayı: 3

Kaynak Göster

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.
AMA Tuglu N, Kızılateş C. On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers. Gazi University Journal of Science. Ekim 2015;28(3):497-501.
Chicago Tuglu, Naim, ve Can Kızılateş. “On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers”. Gazi University Journal of Science 28, sy. 3 (Ekim 2015): 497-501.
EndNote Tuglu N, Kızılateş C (01 Ekim 2015) On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers. Gazi University Journal of Science 28 3 497–501.
IEEE N. Tuglu ve C. Kızılateş, “On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers”, Gazi University Journal of Science, c. 28, sy. 3, ss. 497–501, 2015.
ISNAD Tuglu, Naim - Kızılateş, Can. “On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers”. Gazi University Journal of Science 28/3 (Ekim 2015), 497-501.
JAMA 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 ve Can Kızılateş. “On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers”. Gazi University Journal of Science, c. 28, sy. 3, 2015, ss. 497-01.
Vancouver 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.