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Title: On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers
Author: Andrade, Enide
Carrasco-Olivera, Dante
Manzaneda, Cristina
Keywords: k-circulant matrix
Symmetric matrix
Horadam number
Fibonacci number
Jacobsthal number
Pell number
Issue Date: 15-May-2021
Publisher: Elsevier
Abstract: In this work a new type of matrix called circulant-like matrix is introduced. This type of matrix includes the classical k-circulant matrix, introduced in [4], in a natural sense. Its eigenvalues and its inverse and some other properties are studied, namely, it is shown that the inverse of a matrix of this type is also a matrix of this type and that its first row is the unique solution of a certain system of linear equations. Additionally, for some of these matrices whose entries are written as function of Horadam, Fibonacci, Jacobsthal and Pell numbers we study its eigenvalues and write it as function of those numbers. Moreover, the same study is done if the entries are arithmetic sequences.
Peer review: yes
DOI: 10.1016/j.laa.2021.01.016
ISSN: 0024-3795
Appears in Collections:CIDMA - Artigos
DMat - Artigos
OGTCG - Artigos

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