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http://dx.doi.org/10.4134/CKMS.c170244

ON THE g-CIRCULANT MATRICES  

Bahsi, Mustafa (Aksaray University Education Faculty)
Solak, Suleyman (N. E. University A. K. Education Faculty)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.3, 2018 , pp. 695-704 More about this Journal
Abstract
In this paper, firstly we compute the spectral norm of g-circulant matrices $C_{n,g}=g-Circ(c_0,c_1,{\cdots},c{_{n-1}})$, 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.
Keywords
circulant matrix; g-circulant matrix; Fibonacci number; Lucas number; spectral norm; determinant; inverse;
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