Circulant type matrices with the sum and product of Fibonacci and Lucas numbers
type: Item
instance of: scholarly article
title: Circulant type matrices with the sum and product of Fibonacci and Lucas numbers
zbMATH Open document ID: 1472.15007
DOI: 10.1155/2014/375251
author: Y. P. Gong
author: Yun Gao
author: Zhao-Lin Jiang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Circulant type matrices have become an important tool in solving differential equations. In this paper, we consider circulant type matrices, including the circulant and left circulant and \(g\)-circulant matrices with the sum and product of Fibonacci and Lucas numbers. Firstly, we discuss the invertibility of the circulant matrix and present the determinant and the inverse matrix by constructing the transformation matrices. Furthermore, the invertibility of the left circulant and \(g\)-circulant matrices is also discussed. We obtain the determinants and the inverse matrices of the left circulant and \(g\)-circulant matrices by utilizing the relation between left circulant, and \(g\)-circulant matrices and circulant matrix, respectively.
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B05
Mathematics Subject Classification ID: 11C20
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 7022251
zbMATH Keywords: Fibonacci numbers
zbMATH Keywords: Lucas numbers
zbMATH Keywords: determinants
zbMATH Keywords: inverse
Wikidata QID: Q59036819
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/375251
OpenAlex ID: W2118943920
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description: scientific article; zbMATH DE number 7022251