The invertibility, explicit determinants, and inverses of circulant and left circulant and \(g\)-circulant matrices involving any continuous Fibonacci and Lucas numbers
type: Item
instance of: scholarly article
title: The invertibility, explicit determinants, and inverses of circulant and left circulant and \(g\)-circulant matrices involving any continuous Fibonacci and Lucas numbers
zbMATH Open document ID: 1474.15081
DOI: 10.1155/2014/931451
author: Dan Li
author: Zhao-Lin Jiang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Circulant matrices play an important role in solving delay differential equations. In this paper, circulant type matrices including the circulant and left circulant and \(g\)-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 and \(g\)-circulant matrices is also studied. We obtain the explicit determinants and the inverse matrices of the left circulant and \(g\)-circulant matrices by utilizing the relationship between left circulant, \(g\)-circulant matrices and circulant matrix, respectively.
Mathematics Subject Classification ID: 15B36
zbMATH DE Number: 7023336
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/931451
OpenAlex ID: W2044435359
Wikidata QID: Q59042920
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description: scientific article; zbMATH DE number 7023336