Araştırma Makalesi
BibTex RIS Kaynak Göster

ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS

Yıl 2008, Cilt: 37 Sayı: 2, 89 - 95, 01.02.2008

Öz

Let us define A = [aij ] and B = [bij ] as n × n Toeplitz matrices such that aij ≡ Fi−j and bij ≡ Li−j where F and L denote the usual Fibonacci and Lucas numbers, respectively. We have found upper and lower bounds for the spectral norms of these matrices

Kaynakça

  • Karaduman, E. An application of Fibonacci numbers in matrices, Applied Mathematics and Computation 147, 903–908, 2004.
  • Kayaba¸s, H. The applications of k-Fibonacci sequences (Sel¸cuk University Graduate School of Natural and Applied Science, Ms Thesis, 2006).
  • Koshy, T. Fibonacci and Lucas Numbers with Applications (Wiley-Interscience Publications, 2001).
  • Mathias, R. The spectral norm of nonnegative matrix, Linear Algebra and its Applications 131, 269–284, 1990.
  • Reams, R. Hadamard inverses, square roots and products of almost semidefinite matrices, Linear Algebra and its Applications 288, 35–43, 1999.
  • Solak, S. On the norms of circulant matrices with the Fibonacci and Lucas numbers, Applied Mathematics and Computation 160, 125–132, 2005.
  • Vajda, S. Fibonacci and Lucas Numbers and the Golden Section: Theory and Applications (Ellis Horwood Ltd., 1989).
  • Zielke, G. Some remarks on matrix norms, condition numbers and error estimates for linear equations, Linear Algebra and its Applications 110, 29–41, 1988.

ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS

Yıl 2008, Cilt: 37 Sayı: 2, 89 - 95, 01.02.2008

Öz

Kaynakça

  • Karaduman, E. An application of Fibonacci numbers in matrices, Applied Mathematics and Computation 147, 903–908, 2004.
  • Kayaba¸s, H. The applications of k-Fibonacci sequences (Sel¸cuk University Graduate School of Natural and Applied Science, Ms Thesis, 2006).
  • Koshy, T. Fibonacci and Lucas Numbers with Applications (Wiley-Interscience Publications, 2001).
  • Mathias, R. The spectral norm of nonnegative matrix, Linear Algebra and its Applications 131, 269–284, 1990.
  • Reams, R. Hadamard inverses, square roots and products of almost semidefinite matrices, Linear Algebra and its Applications 288, 35–43, 1999.
  • Solak, S. On the norms of circulant matrices with the Fibonacci and Lucas numbers, Applied Mathematics and Computation 160, 125–132, 2005.
  • Vajda, S. Fibonacci and Lucas Numbers and the Golden Section: Theory and Applications (Ellis Horwood Ltd., 1989).
  • Zielke, G. Some remarks on matrix norms, condition numbers and error estimates for linear equations, Linear Algebra and its Applications 110, 29–41, 1988.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

M. Akbulak Bu kişi benim

D. Bozkurt Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2008
Yayımlandığı Sayı Yıl 2008 Cilt: 37 Sayı: 2

Kaynak Göster

APA Akbulak, M., & Bozkurt, D. (2008). ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics, 37(2), 89-95.
AMA Akbulak M, Bozkurt D. ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics. Şubat 2008;37(2):89-95.
Chicago Akbulak, M., ve D. Bozkurt. “ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS”. Hacettepe Journal of Mathematics and Statistics 37, sy. 2 (Şubat 2008): 89-95.
EndNote Akbulak M, Bozkurt D (01 Şubat 2008) ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics 37 2 89–95.
IEEE M. Akbulak ve D. Bozkurt, “ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS”, Hacettepe Journal of Mathematics and Statistics, c. 37, sy. 2, ss. 89–95, 2008.
ISNAD Akbulak, M. - Bozkurt, D. “ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS”. Hacettepe Journal of Mathematics and Statistics 37/2 (Şubat 2008), 89-95.
JAMA Akbulak M, Bozkurt D. ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics. 2008;37:89–95.
MLA Akbulak, M. ve D. Bozkurt. “ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS”. Hacettepe Journal of Mathematics and Statistics, c. 37, sy. 2, 2008, ss. 89-95.
Vancouver Akbulak M, Bozkurt D. ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics. 2008;37(2):89-95.