Aldous Cesar F. Bueno

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 26, 2020, Number 2, Pages 177–197

DOI: 10.7546/nntdm.2020.26.2.177-197

**Full paper (PDF, 238 Kb)**

## Details

### Authors and affiliations

Aldous Cesar F. Bueno

*Mathematics Unit, Philippine Science High School – Central Luzon Campus
Lily Hill, Clark Freeport Zone, Pampanga, Philippines
*

### Abstract

We investigate an *r*-circulant matrix whose entries are Horadam numbers having arithmetic indices. We then solve for the eigenvalues, determinant, Euclidean norm and spectral norm of the matrix. Lastly, we present some special cases and some results on identities and divisibility.

### Keywords

- Horadam Numbers
*r*-circulant matrix- Eigenvalue
- Determinant
- Euclidean norm
- Spectral norm

### 2010 Mathematics Subject Classification

- 11B05
- 15B36
- 11B39

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## Related papers

## Cite this paper

Bueno, A. C. F. (2020). On *r*-circulant matrices with Horadam numbers having arithmetic indices. *Notes on Number Theory and Discrete Mathematics*, 26 (2), 177-197, DOI: 10.7546/nntdm.2020.26.2.177-197.