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ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS
Abstract
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
Keywords
References
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- Kayaba¸s, H. The applications of k-Fibonacci sequences (Sel¸cuk University Graduate School of Natural and Applied Science, Ms Thesis, 2006).
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- 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).
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Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
February 1, 2008
Submission Date
May 12, 2014
Acceptance Date
-
Published in Issue
Year 2008 Volume: 37 Number: 2
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. https://izlik.org/JA67TK33ST
AMA
1.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. https://izlik.org/JA67TK33ST
Chicago
Akbulak, M., and D. Bozkurt. 2008. “ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS”. Hacettepe Journal of Mathematics and Statistics 37 (2): 89-95. https://izlik.org/JA67TK33ST.
EndNote
Akbulak M, Bozkurt D (February 1, 2008) ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics 37 2 89–95.
IEEE
[1]M. Akbulak and D. Bozkurt, “ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS”, Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 2, pp. 89–95, Feb. 2008, [Online]. Available: https://izlik.org/JA67TK33ST
ISNAD
Akbulak, M. - Bozkurt, D. “ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS”. Hacettepe Journal of Mathematics and Statistics 37/2 (February 1, 2008): 89-95. https://izlik.org/JA67TK33ST.
JAMA
1.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., and D. Bozkurt. “ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS”. Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 2, Feb. 2008, pp. 89-95, https://izlik.org/JA67TK33ST.
Vancouver
1.M. Akbulak, D. Bozkurt. ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2008 Feb. 1;37(2):89-95. Available from: https://izlik.org/JA67TK33ST