On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers
| Autor: | Dante Carrasco-Olivera, Enide Andrade, Cristina B. Manzaneda |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Jacobsthal number
Numerical Analysis Algebra and Number Theory Fibonacci number 010102 general mathematics Symmetric matrix Eigenvalues 010103 numerical & computational mathematics Function (mathematics) System of linear equations 01 natural sciences Pell number Combinatorics Matrix (mathematics) Discrete Mathematics and Combinatorics k-circulant matrix Geometry and Topology 0101 mathematics Horadam number Circulant matrix Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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