Yüksel Soykan

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 27, 2021, Number 4, Pages 187–206

DOI: 10.7546/nntdm.2021.27.4.187-206

**Full paper (PDF, 265 Kb)**

## Details

### Authors and affiliations

Yüksel Soykan

*Department of Mathematics, Art and Science Faculty,
Zonguldak Bulent Ecevit University
67100, Zonguldak, Turkey*

### Abstract

In this paper, we obtain explicit forms of the sum of entries, the maximum column sum matrix norm, the maximum row sum matrix norm, Euclidean norm, eigenvalues and determinant of *k*-circulant matrix with the generalized third-order Pell numbers. We also study the spectral norm of this *k*-circulant matrix. Furthermore, some numerical results for demonstrating the validity of the hypotheses of our results are given.

### Keywords

- Third-order Pell numbers
- Circulant matrix
*k*-circulant matrix- Tribonacci numbers
- Norm
- Spectral norm
- Determinant

### 2020 Mathematics Subject Classification

- 11B39
- 11B83
- 15A18
- 15A60
- 15B36
- 11C20

### References

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## Cite this paper

Soykan, Y. (2021). On *k*-circulant matrices with the generalized third-order Pell numbers. *Notes on Number Theory and Discrete Mathematics*, 27(4), 187-206, DOI: 10.7546/nntdm.2021.27.4.187-206.