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In this paper, firstly we compute the spectral norm of $g$-circulant matrices $C_{n,g}=g\text{-Circ}(c_0,c_1,\ldots ,c_{n-1})$, where $c_i \geq 0$ or $c_i \leq 0$ (equivalently $c_i\cdot c_j\geq 0)$. After, we compute the spectral norms, determinants and inverses of the $g$-circulant matrices with the Fibonacci and Lucas numbers.
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참고문헌 (24)
참고문헌 신청
M. Akbulak / 2008 / On the norms of Toeplitz matrices involving Fibonacci and Lucas numbers / Hacet. J. Math. Stat. 37(2):89~95
M. Bahsi / 2010 / On the circulant matrices with arithmetic sequence / Int. J. Contemp. Math. Sci. 5(25-28):1213~1222
M. Benoumhani / 2003 / A sequence of binomial coefficients related to Lucas and Fibonacci numbers / J. Integer Seq. 6(2):10
A. Bose / 2011 / Circulant type matrices with heavy tailed entries / Statist. Probab. Lett. 81(11):1706~1716
A. Bose / 2011 / Spectral norm of circulant-type matrices / J. Theoret. Probab. 24(2):479~516
M. Bahsi / 2010 / On the circulant matrices with arithmetic sequence / Int. J. Contemp. Math. Sci. 5(25-28):1213~1222
M. Benoumhani / 2003 / A sequence of binomial coefficients related to Lucas and Fibonacci numbers / J. Integer Seq. 6(2):10
A. Bose / 2011 / Circulant type matrices with heavy tailed entries / Statist. Probab. Lett. 81(11):1706~1716
A. Bose / 2011 / Spectral norm of circulant-type matrices / J. Theoret. Probab. 24(2):479~516
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