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首页> 外文期刊>Abstract and applied analysis >The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant andg-Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers
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The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant andg-Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers

机译：涉及任何连续斐波那契数和卢卡斯数的循环和左循环和g-循环矩阵的可逆性，显式行列式和逆

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摘要

Circulant matrices play an important role in solving delay differential equations. In this paper, circulant type matrices including the circulant and left circulant andg-circulant matrices with any continuous Fibonacci and Lucas numbers are considered. Firstly, the invertibility of the circulant matrix is discussed and the explicit determinant and the inverse matrices by constructing the transformation matrices are presented. Furthermore, the invertibility of the left circulant andg-circulant matrices is also studied. We obtain the explicit determinants and the inverse matrices of the left circulant andg-circulant matrices by utilizing the relationship between left circulant,g-circulant matrices and circulant matrix, respectively.
机译：循环矩阵在求解时滞微分方程中起重要作用。在本文中，考虑了循环类型矩阵，包括具有任意连续斐波那契数和卢卡斯数的循环和左循环及g-循环矩阵。首先，讨论了循环矩阵的可逆性，并通过构造变换矩阵给出了显式行列式和逆矩阵。此外，还研究了左循环矩阵和g循环矩阵的可逆性。利用左循环，g-循环矩阵和循环矩阵之间的关系，分别得到左循环和g-循环矩阵的显式行列式和逆矩阵。

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