Annals of Mathematical Sciences and Applications

Volume 8 (2023)

Number 1

An explicit formula for the determinants of tridiagonal $2$-Toeplitz and $3$-Toeplitz matrices

Pages: 3 – 17

DOI: https://dx.doi.org/10.4310/AMSA.2023.v8.n1.a1

Author

Roksana Słowik (Faculty of Applied Mathematics, Silesian University of Technology, Gliwice, Poland)

Abstract

We give an explicit formula for the determinants of tridiagonal $2$-Toeplitz and $3$-Toeplitz matrices defined over $\mathbb{C}$ without of use the Chebyshev polynomials.

Keywords

tridiagonal matrix, $k$-Toeplitz matrix, determinant

2010 Mathematics Subject Classification

Primary 15A15. Secondary 15B05.

Received 5 December 2022

Accepted 28 December 2022

Published 30 March 2023