References
- P. J. Davis,Circulant Matrices(John Wiley &Sons, New York, 1979).
- R. A. Horn. C.R. Matrix Analysis (Cambridge University Press, 1985).
- H. Karner, J.C. Schneid and W. Ueberhuber. Spectral decomposition of real circulant matrices, Linear Algebra and Its Applications 367, (2003), 301-311. https://doi.org/10.1016/S0024-3795(02)00664-X
- E.G. Kocer, Circulant, Negacyclic and Semicirculant Matrices with the Modified Pell, Jacobsthal-Lucas numbers. Hacettepe Journal of Mathematics and Statistics 36(2)(2007), 133-142.
- T. Koshy. Fibonacci and Lucas Numbers with Applications. John Wiley and Sons, 2001.
- P. Ribenboim. My Numbers, My Friends, Popular Lectures on Number Theory, Springer-Verlag, New York, Inc. 2000.
- S.Q. Shen, J.M. Cen, On the determinants and inverses of circulant matrices with the Fibonacci and Lucas numbers, Applied Mathematics and Computation, 217, (2011), 9790-9797. https://doi.org/10.1016/j.amc.2011.04.072
- W. R. Spickerman & R. N. Joyner. Binet's Formula for the Recursive Sequence of Order k. Fibonacci Quarterly 22.4 (1984), 327-31.
- M.E. Waddill. The Tetranacci Sequence and Generalizations. Fibonacci Quarterly 30.1(1992), 9-20.
- Z. Yanpeng, S. Shon, S. Lee and D. Oh. Determinant of the Generalized Lucas RSFMLR Circulant Matrices in Communication. International Conference on Information Computing and Applications. Springer-Verlag Berlin, Heidelberg, Part I, CCIS 391, pp. (2013), 72-81.
- Z. Yanpeng, S. Shon. Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix. Abstract and Applied Analysis. Vol. (2015), Article ID 760823, 10 pages.
- Z. Yanpeng, S. Shon. Exact Determinants and Inverses of Generalized Lucas Skew Circulant Type Matrices. Applied Mathematics and Computation. 270(2015), 105-113. https://doi.org/10.1016/j.amc.2015.08.021