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On the $g$-circulant matrices

Mustafa Bahsi|Suleyman Solak
대한수학회 (The Korean Mathematical Society)|2018.07|대한수학회논문집 (Communications of the KMS)|제33권 제3호|pp. 695-704

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참고문헌

키워드

determinantcirculant matrixFibonacci numberinverse$g$-circulant matrixLucas numberspectral norm
주제분류수학

초록

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.

Abstract

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.

참고문헌 (24)

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