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

Year 2007, Volume: 36 Issue: 2, 133 - 142, 01.02.2007
https://izlik.org/JA62CP38CP

Abstract

References

  • 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

Year 2007, Volume: 36 Issue: 2, 133 - 142, 01.02.2007
https://izlik.org/JA62CP38CP

Abstract

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.

References

  • 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.
There are 7 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Research Article
Authors

E. G. Kocer This is me

Publication Date February 1, 2007
IZ https://izlik.org/JA62CP38CP
Published in Issue Year 2007 Volume: 36 Issue: 2

Cite

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. https://izlik.org/JA62CP38CP
AMA 1.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):133-142. https://izlik.org/JA62CP38CP
Chicago 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): 133-42. https://izlik.org/JA62CP38CP.
EndNote Kocer EG (February 1, 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 [1]E. G. Kocer, “CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS”, Hacettepe Journal of Mathematics and Statistics, vol. 36, no. 2, pp. 133–142, Feb. 2007, [Online]. Available: https://izlik.org/JA62CP38CP
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 (February 1, 2007): 133-142. https://izlik.org/JA62CP38CP.
JAMA 1.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, vol. 36, no. 2, Feb. 2007, pp. 133-42, https://izlik.org/JA62CP38CP.
Vancouver 1.E. G. Kocer. CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2007 Feb. 1;36(2):133-42. Available from: https://izlik.org/JA62CP38CP