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CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS

Yıl 2007, Cilt: 36 Sayı: 2, 133 - 142, 01.02.2007

Öz

Kaynakça

  • Davis, P. J. Circulant Matrices (John Wiley&Sons, New York, 1979).
  • Frey, D. D. and Sellers, J. A. Jacobsthal numbers and alternating sign matrices, Journal of Integer Sequences 3 (2),1–16, 2001.
  • Horadam, A. F. Jacobsthal and Pell curves, The Fibonacci Quarterly 26,77–83, 1988.
  • Horadam, A. F. Applications of modified Pell numbers to representations, Ulam Quarterly 3(1), 34–53, 1994.
  • Horadam, A. F. Jacobsthal represantation numbers, The Fibonacci Quarterly 34 (1), 40–53, 1996.
  • Horn, R. A. Johnson, C. R. Matrix Analysis (Cambridge University Press, 1985).
  • Karner, H., Schneid, J. C. and Ueberhuber, W. Spectral decomposition of real circulant ma- trices, Lin. Alg. Appl. 367, 301–311, 2003.

CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS

Yıl 2007, Cilt: 36 Sayı: 2, 133 - 142, 01.02.2007

Öz

In this paper, we give some properties of the modified Pell, Jacobsthal and Jacobsthal-Lucas numbers. We then define the circulant, negacyclic and semicirculant matrices with these numbers and investigate the norms, eigenvalues and determinants of these matrices.

Kaynakça

  • Davis, P. J. Circulant Matrices (John Wiley&Sons, New York, 1979).
  • Frey, D. D. and Sellers, J. A. Jacobsthal numbers and alternating sign matrices, Journal of Integer Sequences 3 (2),1–16, 2001.
  • Horadam, A. F. Jacobsthal and Pell curves, The Fibonacci Quarterly 26,77–83, 1988.
  • Horadam, A. F. Applications of modified Pell numbers to representations, Ulam Quarterly 3(1), 34–53, 1994.
  • Horadam, A. F. Jacobsthal represantation numbers, The Fibonacci Quarterly 34 (1), 40–53, 1996.
  • Horn, R. A. Johnson, C. R. Matrix Analysis (Cambridge University Press, 1985).
  • Karner, H., Schneid, J. C. and Ueberhuber, W. Spectral decomposition of real circulant ma- trices, Lin. Alg. Appl. 367, 301–311, 2003.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

E. G. Kocer Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2007
Yayımlandığı Sayı Yıl 2007 Cilt: 36 Sayı: 2

Kaynak Göster

APA Kocer, E. G. (2007). CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics, 36(2), 133-142.
AMA Kocer EG. CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics. Şubat 2007;36(2):133-142.
Chicago Kocer, E. G. “CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS”. Hacettepe Journal of Mathematics and Statistics 36, sy. 2 (Şubat 2007): 133-42.
EndNote Kocer EG (01 Şubat 2007) CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics 36 2 133–142.
IEEE E. G. Kocer, “CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS”, Hacettepe Journal of Mathematics and Statistics, c. 36, sy. 2, ss. 133–142, 2007.
ISNAD Kocer, E. G. “CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS”. Hacettepe Journal of Mathematics and Statistics 36/2 (Şubat 2007), 133-142.
JAMA Kocer EG. CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics. 2007;36:133–142.
MLA Kocer, E. G. “CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS”. Hacettepe Journal of Mathematics and Statistics, c. 36, sy. 2, 2007, ss. 133-42.
Vancouver Kocer EG. CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics. 2007;36(2):133-42.